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GeorgiaStandardized Test Practice Workbook
McDougal Littell
correlated to the
GEORGIA QUALITY CORE CURRICULUM
and the
GEORGIA HIGH SCHOOL GRADUATION TEST STANDARDS
Algebra 1Applications • Equations • Graphs
Georgia Algebra 1Standardized TestPractice Workbook The Standardized Test Practice Workbook providespractice exercises for every lesson in a standardized testformat. Included are multiple-choice, quantitative-comparison, and multi-step problems. The StandardizedTest Practice for every lesson is correlated to the GeorgiaQuality Core Curriculum and to the Georgia High SchoolGraduation Test standards. At the end of the book youwill find practice for the Georgia End-of-Course Test.
Permission is hereby granted to teachers to reprint or photocopyin classroom quantities the pages or sheets in this work that carrya McDougal Littell copyright notice. These pages are designedto be reproduced by teachers for use in their classes withaccompanying McDougal Littell material, provided each copymade shows the copyright notice. Such copies may not be sold,and further distribution is expressly prohibited. Except asauthorized above, prior written permission must be obtained fromMcDougal Littell Inc. to reproduce or transmit this work or portionsthereof in any other form or by any other electronic or mechanicalmeans, including any information storage or retrieval system,unless expressly permitted by federal copyright law. Addressinquiries to Manager, Rights and Permissions, McDougal LittellInc., P. O. Box 1667, Evanston, Illinois 60204.
ISBN: 0-618-13257-0
123456789-MDI- 04 03 02 01 00
Copyright © 2001 McDougal Littell Inc. All rights reserved.
Contents
Chapter Title1 Connections to Algebra 1-7
2 Properties of Real Numbers 8-15
3 Solving Linear Equations 16-23
4 Graphing Linear Equations and Functions 24-31
5 Writing Linear Equations 32-38
6 Solving and Graphing Linear Inequalities 39-45
Cumulative Standardized Test Practice 46-49
7 Systems of Linear Equations and Inequalities 50-55
8 Exponents and Exponential Functions 56-61
9 Quadratic Equations and Functions 62-69
10 Polynomials and Factoring 70-77
11 Rational Equations and Functions 78-85
12 Radicals and Connections to Geometry 86-93
Georgia End-of-Course Practice Test 94-97
Answers A1-A6
Copyright © McDougal Littell Inc. All rights reserved.
Algebra 1 iiiGeorgia Standardized Test Practice Workbook
GA QCC: 1, 3
GHSGT: 20, 27, 34
Algebra 1 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the value of theexpression when
A 14 B C
D 5 E
2. Multiple Choice What is the value of theexpression when
A 8 B C 9
D 3 E
3. Multiple Choice Evaluate when
A 6 B C 18
D E
4. Multiple Choice Find the area of a triangleif the height is 6 inches and the base is 9inches.
A 7.5 B 18 C 15
D 54 E 27
5. Multiple Choice Evaluate when
A B C
D E
6. Multiple Choice The variable expression for3 times plus 1.2 is
A B
C D
Ex3
1 1.2
x 1 1.2 ? 33x 1 1.2
3x 1 3.61.2x 1 3
? .x
47
45
127
11121
810
x 523.6
7x
sHint: Area of a triangle is A 512bh.d
21226
218
y 5 4.3y 2 6
29
23
x 5 3?2x 1 3
219
2925
x 5 2?7 2 x7. Multiple Choice Which is the variable
expression for 26 divided by plus 5?
A B
C D
E
8. Multiple Choice A bat can eat 0.05 poundof mosquitoes in an hour. If it eats for 6.5hours, how many pounds of mosquitoes willit consume?
A 0.6 lb B 0.325 lb
C 0.13 lb D 3.25 lb E 1.3 lb
9. Multiple Choice Your parents invested$1000 in a college savings account earning5.5%. If this was invested 12 years ago, howmuch interest has it earned?
A $66.00 B $660.00
C $666.00 D $2182.00
E $60.00
Quantitative Comparison In Exercises 10–13,choose the statement below that is true about thegiven numbers.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
10.
11.
12.
13.
w5
2 26
26 4 5w26w 1 5
w26
1 526w
1 5
w
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 3–8
1.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
Column A Column B
when x 5 46x
when y 5 33y 2 6
10 times y 10 divided by y
when z 5133z 1 4 when
z 5 10
12z 2 3
when a 514
23a 1
12 when a 5 72
5 a 213
GA QCC: 2, 3
GHSGT: 4, 33, 34
2 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1. Multiple Choice Which algebraic expression is equivalent to
A B C
D 30 E
2. Multiple Choice Express the meaning of thepower in numbers.
A B
C D
E
3. Multiple Choice Evaluate the expression when
A 125 B 243 C 15
D 8 E 81
4. Multiple Choice Evaluate the expressionwhen and
A 16 B 19 C 1
D E 34
5. Multiple Choice Evaluate the expressionwhen and
A 67 B 31 C 21
D 1728 E 343
6. Multiple Choice Evaluate the expressionwhen and
A 25 B 17 C 144
D 30 E 22
7. Multiple Choice Evaluate the expressionwhen
A 625 B 162 C 48
D 1296 E 24
a 5 2.s3ad4
y 5 4.x 5 72x 1 sy2d
p 5 3.m 5 4sm 1 pd3
26
y 5 3.x 5 5x2 2 3y
x 5 3.x5
3 ? 3 ? 3 ? 3 ? 3 ? 3
21913s7d3 ? 3 ? 3 ? 3 ? 3 ? 3 ? 37 ? 7 ? 7
37
65
7776566s5d6 ? 6 ? 6 ? 6 ? 6?
8. Multiple Choice Halie’s bedroom is asquare measuring 10 feet along the base ofeach wall and 10 feet high. Which expressionis used to calculate the square footage neededto wallpaper her room?
A B
C D
E
9. Multiple Choice A cylindrical vase is 14 inches high and has a radius of 5 inches.Determine the volume if the formula is 3.14times the square of the radius times height.
A B 353.14 C 1099
D 439.6 E 1380
10. Multi-Step Problem You have a largerectangular fish tank measuring 3 feet acrossby 2 feet deep by 2 feet high. You want to fillit of the way with water.
a. What is the volume of the fish tank incubic feet?
b. If one cubic foot is equal to 7.48 gallons,how many gallons of water can the tankhold?
c. How many gallons will fill the tank full?
d. Would a fish tank measuring 3 feet acrossby 4 feet deep by 2 feet highdouble the volume of your current fishtank?
34
34
3077
s4 ? 10d2
42 ? 104s102d103104
TEST TAKING STRATEGY As soon as the testing time begins, start working.
Keep moving and stay focused on the test.
Standardized Test PracticeFor use with pages 9–14
1.2LESSON
GA QCC: 3
GHSGT: 4, 33, 34
Algebra 1 3Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1. Multiple Choice Evaluate the expressionwhen
A 47 B 142 C 22
D 72 E 34
2. Multiple Choice Evaluate the expressionwhen
A B 1701 C 7
D E 567
3. Multiple Choice Evaluate the expression
when
A 23 B 3.14 C 17.5
D 4.4 E 13.5
4. Multiple Choice Evaluate the expressionwhen
A B C
D E
5. Multiple Choice Evaluate the expression
A 72 B 66 C 60
D 36 E 90
6. Multiple Choice Insert grouping symbolsinto to produce the value 45.
A B
C D
E s1 1 4 ? 3d2 1 2
s1 1 4d ? 32 1 21 1 4 ? s32d 1 2
1 1 4 ? s32 1 2d1 1 s4 ? 3d2 1 2
1 1 4 ? 32 1 2
6 ? s32 1 6d.
712
13
14
2984
112
x 512.2
3x2 21
12
x 5 2.88x4 1 6x
213
712
y 5 3.126 4 2y3
x 5 3.4x2 2 27. Multiple Choice Evaluate
A 41 B 9 C 24
D 40 E 11
8. Multiple Choice What is the value of
A B C
D E
9. Multiple Choice If your state charges a 6% sales tax on all items except food andclothing, what is the sales tax if you boughtgroceries for $22.15, a pair of jeans for$32.00, a video for $16.00, and books for$35.00?
A $6.31 B $4.39 C $4.98
D $2.10 E $3.06
Quantitative Comparison In Exercises 10–12,choose the statement below that is true about thegiven numbers.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
10.
11.
12.
34
3121
38
124
214
15 2 6 ? 28 ? s42 2 7d?
13s48 1 3d 2 23.
TEST TAKING STRATEGY If you can, check an answer using a method that is differ-
ent from the one you used originally, to avoid making the same mistake twice.
Standardized Test PracticeFor use with pages 16–22
1.3LESSON
Column A Column B
s19 2 4d2 1 5 19 2 42 1 5
18 1 9 4 3 2 6 15 4 3 ? 22 2 5
3 1 62 4 4 1 2 12 4 3 ? 22 2 1
GA QCC: 1, 22
GHSGT: 41
4 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1. Multiple Choice The solution of the equation is
A 4 B 3 C 14 D 12 E 5
2. Multiple Choice The solution of the equation is
A 5 B 4 C 2 D 3 E 6
3. Multiple Choice The solution of the equation is
A 1 B 4 C 3 D 5 E 2
4. Multiple Choice Determine which equationhas a solution of
A B
C D
E
5. Multiple Choice Determine which equationhas a solution of
A B
C D
E
6. Multiple Choice Which equation does nothave a solution of
A B
C D
E
7. Multiple Choice Which equation is a translation of “3 times a number decreased by 6 gives 18”?
A B
C D
E 3x 2 6 5 18
3x 1 6 5 186 2 3x 5 18
6 2 3x 5 183x 4 6 5 18
16 5 22 2 w
w2 1 3 5 3912 1 2w 5 18
10w 2 22 5 383w 2 4 5 14
w 5 6?
16 2 a2 5 8
25 2 3a 5 1012 2 a 5 4
32 5 7a 1 42a 1 6 5 10
a 5 5.
5 1 2x 5 13
4 1 2x 5 3x 2 118 2 3x 5 12
16 5 12x 1 14x 1 6 5 18
x 5 3.
? .10x 2 6 5 10 1 6x
? .15 2 3y 5 7
? .7x 1 2 5 238. Multiple Choice Using the interest formula,
determine the amount of principlethat must be invested to earn $50 interest over2 years at a rate of 5%.
A $500 B $200 C $50
D $2000 E $5000
9. Multiple Choice Determine which inequalityhas a possible solution of
A B A and B
C D A and E
E
10. Multiple Choice Match the sentence “thesum of 10 and twice is less than 25” withits mathematical representation.
A B
C D
E
11. Multi-Step Problem You are saving moneyto go to summer camp. You need at least $500to cover all your costs, and you’ve alreadysaved $150. You can save an additional $20every week.
a. Write an inequality to model the situationusing for weeks.
b. What do the 150 and the 20 represent?
c. How long will it take you to save enoughmoney?
d. If you only save $15 a week, how longwill it take you to save enough money?
w
10 2 2x < 25
2 1 10x < 2510 1 2x > 25
10 1 2x < 2510s2 1 xd < 25
x
15 > 4x 2 6
10 2 2x < 3
2x < 8
x 5 3.
I 5 Prt,
TEST TAKING STRATEGY Avoid spending too much time on one question.
Standardized Test PracticeFor use with pages 24–30
1.4LESSON
GA QCC: 1, 3, 22
GHSGT: 4, 37
Algebra 1 5Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1. Multiple Choice Choose the correctalgebraic translation of “five less than thesum of a number and six.”
A B
C D
E
2. Multiple Choice Choose the correctalgebraic translation of “five plus theproduct of eight and a number.”
A B C
D E
3. Multiple Choice Choose the correctalgebraic translation of “three squaredplus the quantity of six times a number.”
A B
C D
E
4. Multiple Choice Choose the correctalgebraic translation of “the product of 12and a number is 7.”
A B
C D
E
5. Multiple Choice Choose the correctalgebraic translation of “thirty-six is theproduct of and 12.”
A B
C D
E 12w 5 36
36w 5 12w 2 12 5 36
36 5w12
36 5 w 1 12
w
12x
5 7
12 5 7x12 1 x 5 7
x12
5 712x 5 7
3s2d 16y
32 16y
3s2d 1 6y
32 1 6ys32 1 6dy
5 1 s8 1 xd8 1 5x
5 18x
5 1 8x8s5 1 xd
s5 2 xd 1 6
sx 1 6d 2 5x 2 5 1 6
5 2 sx 1 6d5 2 x 1 6
6. Multiple Choice Choose the correct alge-braic translation of “seven less than the prod-uct of five and a number is less than fourteen.”
A B
C D
E
7. Multiple Choice The lease agreement ona new car requires a down payment of $1200and $269 a month for 24 months. There isan additional fee of $.15 per mile for allmiles, driven over 25,000 miles. Choosethe correct model for the cost, of the car,if you drive more than 25,000 miles.
Quantitative Comparison In Exercises 8–11,choose the statement below that is true about theunknown numbers.
A The unknown in column A is greater.
B The unknown in column B is greater.
C The two unknowns are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
11.
C,m,
7 < 5x 1 14
5x 2 7 > 145x 2 7 < 14
7 2 5x > 147 2 5x < 14
TEST TAKING STRATEGY Skip questions that are too difficult for you, and spend no
more than a few minutes on each question.
Standardized Test PracticeFor use with pages 32–39
1.5LESSON
Column A Column B
A number decreased bythree squared is six.
Ten times a number isfive squared times six.
A number divided byfive is less than eight.
The product of 14and a number isgreater than 11.
The product of anumber and eight is 32.
The quotient of anumber and sixteenis five.
Seven times a numberdecreased by six is 15.
Nine more thansixteen divided by anumber is seventeen.
A
B
C
D
E 1200 1 269s24d 1 0.15sm 2 25,000d 5 C
1200 1 269s24d 1 0.15m 5 C
1200 1 269 1 24 1 0.15m 5 C
1200 1 269s24d 1 0.15s25,000 2 md 5 C
1200 1 269 1 0.15s25,000 2 md 5 C
GA QCC: 1
GHSGT: 12, 13, 14
6 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
Multiple Choice In Exercises 1–4, use thefollowing information and graph to determine thecorrect answer.
Australia has the highest incidence of petownership in the world, with 66% of householdsowning a pet.
1. Which state has the highest total spending onpet care?
A NSW B VIC C QLD
D SA E WA
2. Which two states spent about the sameamount of money on “other” pet care?
A NSW and VIC B VIC and QLD
C QLD and SA D SA and WA
E WA and QLD
3. What is the approximate total expenditure ondog and cat care in SA?
A $345 million B $710 million
C $220 million D $525 million
E $150 million
050
100
150200
250300350
400
450500
Co
st
(millio
ns o
f d
ollars
)
NSW VIC QLD SA WA
State
Australian Expenditures on Pet Care (1996)
Dogs
CatsOther
4. Which state spent approximately $150million on cat and other pet expenditures?
A NSW B VIC C QLD
D SA E WA
5. Multiple Choice In which three years didhome ownership increase?
A 1984, 1985, 1986 B 1987, 1988, 1989
C 1996, 1997, 1998 D 1986, 1987, 1988
E 1993, 1994, 1995
Quantitative Comparison In Exercises 6–8,refer to the graph in exercise 5 and choose thestatement that is true about the given numbers.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
6.
7.
8.
00
70
71
72
73
74
75
76
77
2 4 6 8 10 12 14
Years since 1984
Perc
en
t o
wn
ing
ho
mes
Home Ownership in Maine
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Standardized Test PracticeFor use with pages 40–45
1.6LESSON
Column A Column B
ownership rate in 1987 ownership rate in 1990
ownership rate in 1990 ownership rate in 1994
ownership rate in 1991 ownership rate in 1992
GA QCC: 1
GHSGT: 4, 13
Algebra 1 7Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1. Multiple Choice Choose the correct domainfor the function where
and w is an integer.
A 0, 1, 2, 3, 4, 5
B 1, 2, 3, 4, 5
C 35, 40, 45, 50, 55
D 40, 45, 50, 55
E 40, 41, 42, 43, 44, 45
2. Multiple Choice Choose the correct rangefor the function where
and x is an integer.
A 0, 1, 2, 3, 4
B 0, 1, 2, 3
C 250, 260, 270, 280, 290
D 250, 260, 270, 280
E 260, 261, 262, 263, 264
3. Multiple Choice Choose the table that doesnot represent a function.
A
B
C
D
E
0 ≤ x ≤ 4y 5 250 1 10x
0 ≤ w ≤ 5t 5 35 1 5w
4. Multiple Choice Choose the equation thatdescribes the function containing all of thepoints shown in the table.
A B
C D
E
5. Multiple Choice A bag of puppy fooddirects you to feed cup for every 10 poundsthe puppy weighs. Choose the correct repre-sentation of cups, as a function of bodyweight,
A B
C D
E
6. Multi-Step Problem Your high school bandis selling sub sandwiches for a fundraiser. Itcosts $1.25 to make each sandwich. They sellthem for $2.50 each.
a. Write a function that determines the profitfrom the sale.
b. The band must pay a $75 fee to use thecafeteria to assemble the sandwiches.Write a function that includes this cost.
c. The band wants $1000 profit. How manysandwiches must they sell?
d. If they sell 820 sandwiches, what was theprofit earned?
c 512
sw 2 10d
w 512
1 10cc 512
1 w
c 5121
w102c 5
12
s10wd
w.c,
12
y 5 8x 2 7
y 5 16 2 2xy 5 4x 1 7
y 5 7 1 2x2y 5 12 1 x2
TEST TAKING STRATEGY If you can, check your answer using a method that is differ-
ent from the one you used originally, to avoid making the same mistake twice.
Standardized Test PracticeFor use with pages 46–52
1.7LESSON
Input 0 1 2 3 4 5Output 7 15 23 31 39 47
Input 0 1 2 3 4Output 10 15 20 25 30
Input 1 2 3 4 5Output 6 12 18 24 30
Input 0 1 2 3 4Output 5 10 15 30 90
Input 0 0 1 1 2Output 7 9 11 13 15
Input 1 2 3 4 5Output 3 3 5 5 7
GA QCC: 1, 3
GHSGT: 2, 4
8 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY If you can, check an answer using a method that is differ-
ent from the one you used originally, to avoid making the same mistake twice.
Standardized Test PracticeFor use with pages 63–70
2.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 2
1. Multiple Choice Choose the number repre-sented on the graph.
A B C
D E
2. Multiple Choice Choose the correct ordering(in increasing order) of the following numbers: 2, .A
B
C
D
E
3. Multiple Choice Choose the correct ordering(in increasing order) of the following numbers: .
A
B
C
D
E
Multiple Choice For Exercises 4 and 5, refer tothe table showing high temperatures in January forone week in Pittsburgh, PA.
4. What was the coldest temperature recorded?A B C
D E 2108258
2283808
23, 234, 20.5, 0, 12, 6
23, 234, 20.5, 12, 0, 6
0, 20.5, 12, 234, 23, 6
23, 20.5, 234, 0, 12, 6
0, 23, 20.5, 23, 12, 20.5, 234
0, 6, 23, 12, 20.5, 234
21, 20.5, 0.75, 0, 2
21, 20.5, 0, 0.75, 2
20.5, 21, 0.75, 0, 2
20.5, 21, 0, 0.75, 2
0, 20.5, .75, 21, 220.5, 0, 21, 0.75
21214
142
12
12
22 21 0 1 2
5. Which days had high temperatures abovefreezing A Jan. 3, 4, 7 B Jan. 3, 4, 7, 8
C Jan. 3, 4, 5, 6, 7, 9 D Jan. 3, 4
E Jan. 5, 6, 9
6. Multiple Choice Choose the inequality thatwould correctly compare and A B
C D
E Both B and C
7. Multiple Choice Evaluate the expression
A B 2 C 0
D 1 E
8 Multiple Choice Evaluate the expression
A B 4 C 3
D 10 E
9. Multiple Choice If then
A B C
D E
Quantitative Comparison In Exercises10–12, choose the statement that is true about thegiven numbers.
A The number in column A is greater
B The number in column B is greater
C The two numbers are equal
D The relationship cannot be determinedfrom the information given.
10.
11.
12.
5≥
≤><w ____ ? 26.
26 ≥ w,
210
24|27| 1 3.
21
222|22|.
26 > 2426 < 24
24 < 2624 5 2626.24
s08Cd?
Column A Column B
|x| 2 6|x 2 6||2x| 1 2|x| 1 2|3 1 2|2|3 1 2|
Date
22808382108258581088C
19
18
17
16
15
14
13
GA QCC: 3
GHSGT: 3, 33
Algebra 1 9Georgia Standardized Test Practice Workbook
1. Multiple Choice Find the sum of A 7 B C
D 1 E 12
2. Multiple Choice Find the sum of
A B 12 C 24
D E 3
3. Multiple Choice Find the sum of
A 15 B C 1
D E 11
4. Multiple Choice Find the sum of
A B 0.1 C 0.98
D 4.7 E
5. Multiple Choice Evaluate the expressionfor
A 6 B C 0
D 1 E
Multiple Choice In Exercises 6–8, use thetable, which shows the average daily high temper-ature and the actual temperature of a city indegrees Celsius.
6. On which date was the actual high tempera-ture farthest from the average temperature?A Jan. 11 B Jan. 13 C Jan. 8
D Jan. 12 E Jan. 9
21
26x 5 22.5 1 x 1 s23d
24.7
20.12.3 1 s20.5d 1 s21.2d 1 s20.7d.
21
21525 1 8 1 s22d.
224
21226 1 s218d.
21273 1 s24d. 7. On which dates were the actual temperatures
5 degrees different from the average high temperatures?A Jan. 9 B Jan. 9, 13
C Jan. 9, 14 D Jan. 13, 14
E Jan. 9, 13, 14
8. On which date was the actual temperatureclosest to the average temperature?A Jan. 8 B Jan. 10
C Jan. 13 D Jan. 8, 10
E Jan. 8, 10, 13
Quantitative Comparison In Exercises 9–12,choose the statement that is the true about thegiven quantities.
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantities are equal.
D The relationship cannot be determinedfrom the information given.
9.
10.
11.
12.
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 72–77
2.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 2
Column A Column B
8 1 s211d 1 s29ds22d 1 s23d 1 s27d25.1 1 7.9 1 s22d8.2 1 s24.6d 1 0.4
|2x| 1 2212 1 12
3
|3 1 2|23 1 s22d
Date Avg. High Act. High
Jan. 8 2 4
Jan. 9 0 5
Jan. 10
Jan. 11
Jan. 12 1
Jan. 13 3
Jan. 14 5 0
22
28
21123
2321
GA QCC: 1, 3
GHSGT: 4
10 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Find the difference of
A 6 B C 30
D E
2. Multiple Choice Evaluate the expression
A 5 B 15 C
D E 1
3. Multiple Choice Evaluate the expression
A 26 B 2 C
D 14 E
4. Multiple Choice Find the difference of
A B C
D E
5. Multiple Choice Choose the correct termsof the expression A B
C D
E
6. Multiple Choice Choose the correct termsof the expression A B
C D
E
7. Multiple Choice Choose the outputs of thefunction for these values of x:
and 1.A 9, 7, 5, 3 B 1, 2, 3, 4
C 1, 3, 5, 7 D 1, 3, 5, 3
E 5, 4, 3, 4
22, 21, 0,y 5 22x 1 5
9, x, y
9, 215x, 12y9, 15x, 12y
9, 15, 129, 215, 129 2 15x 1 12y.
25x, 6
25x, 2625, 26
262525x 2 6.
2119242
1924
232
1324
1324
212 2
23 2 s25
8d.
210
2226 2 s212d 1 8.
219
21527 2 10 1 2.
1218230
2612 2 18.
Multiple Choice For Exercises 8 and 9, use thetable, which shows the average price of regularunleaded gasoline in Cleveland, Ohio for fiveweeks.
8. What is the change in the price between week1 and week 3?
A B C
D E
9. What is the greatest positive one week change?A $.20 B $.12 C $.04
D $.06 E $.10
10. Multiple Choice There was 26.2 inches ofsnow on the ground on Monday. On Tuesday 3more inches fell. On Wednesday 4.2 inchesmelted off. On Thursday 2.6 inches melted.Friday 1.2 inches accumulated. How deep wasthe snow by Friday night?A 26.8 in. B 19.2 in. C 23.6 in.
D 21.2 in. E 15.2 in.
11. Multi-Step Problem Your science classis doing a fall bird count. Each day for aweek the birds sighted by class membersare counted. The results are as follows.
a. Find the change in the number of birdscounted from each day to the next.
b. What does a negative value represent?
c. What does a positive value represent?
2$.08$.09
$.08$.202$.20
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Standardized Test PracticeFor use with pages 79–85
2.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 2
Mon. Tues. Wed. Thurs. Fri.
52 50 61 59 48
Week 1 2 3 4 5
dollars/gallon $1.17 $1.29 $1.09 $1.13 $1.07
GA QCC: 1, 4
GHSGT: 3, 4, 12, 13, 14
Algebra 1 11Georgia Standardized Test Practice Workbook
1. Multiple Choice Each number in a matrix iscalled A matrices B data C entry
D variable E constant
2. Multiple Choice Find the sum.
A B
C D
E None of these
3. Multiple Choice Find the sum.
A B
C D
E None of these
4. Multiple Choice Find the difference.
A B
C D
E None of these
3 122
2105
825
28743 1
22210
565
22274
3 122
2613
65
222543 1
22210
138
2528254
361
289
70
25264 2 35
32
2421
53
214 5 ?
38
21214
1921
3
2146043
82214
1921
3
21425
043
82214
1921
3
22252243
82214
1921
3
2226
043
52714
832
2622
14 1 3350
1124
1
2823214 5 ?
3210
8242
185
2244323
81
9554
33
261
96543
761
96
1143
52226
61
234 1 32224
7
3584 5 ?
asnd ____? .Multiple Choice Use the matrix below toanswer Exercises 5 and 6.
Profit ($)Store 1 Store 2
5. What was the amount of profit or loss ofStore 2 in March?A $5950 gain B $5950 loss
C $1250 loss D $1250 gain
E $10525 gain
6. What was the amount of profit or loss ofStore 2 in February?A $5950 gain B $5950 loss
C $1250 loss D $1250 gain
E $10525 gain
Quantitative Comparison In Exercises 7–9,use matrix A and matrix B to choose the state-ment that is the true about the given quantities.
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantities are equal.
D The relationship cannot be determinedfrom the information given.
Matrix A Matrix B
7.
8.
9.
3272226
2389
227
11
2529
6432
215
37
28
63
212
824
04
JanuaryFebruary
March 3
15,2839,86510,525
10,2725,950
21,2504
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 86–91
2.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 2
Column A Column B
The number of rowsin Matrix A
The number ofcolumns in matrix B
The entry in the firstrow and first columnof matrix A.
The entry in thefirst row and firstcolumn of matrix B
The entry in the second row and firstcolumn of matrix A.
The entry in thesecond row andfirst column ofmatrix B.
GA QCC: 3
GHSGT: 3, 34
12 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Find the product of
A 32 B C
D 8 E 18
2. Multiple Choice Find the product of
A B C 1
D E
3. Multiple Choice Find the product of
A B C x
D E
4. Multiple Choice Find the product of
A B
C D
E
5. Multiple Choice The equation represents which property of multiplication?A commutative property
B associative property
C identity property
D property of zero
E property of opposites
6. Multiple Choice Evaluate the expressionfor
A B 24 C 18
D E 26218
224x 5 24.s2xds23ds21d
a ? b 5 b ? a
72 x2
23 1 2x3 1 2x
23x23x2
2s2xds6ds12 xd.
212 2 x21x
12x212xs23ds2xds4d.
26521
261661
6
s212ds26ds21
3d.
28232s28ds2ds22d.
7. Multiple Choice Evaluate the expressionwhen
A 12 B C 105
D 60 E 57
8. Multiple Choice A hawk dives towards theground to catch a rabbit. It descends at a rateof feet per second. What would be thevertical distance traveled in 5 seconds?A B 2.04 ft
C D 51 ft
E
9. Multiple Choice A store is marking downits winter clothing for an end of season sale.It paid $50 for a fleece jacket and is now selling it for $43. The store has 30 jackets leftto sell. If they sell all the jackets during thesale, how much will they lose?
A $7 B $37 C $210
D $1290 E $1500
10. Multi-Step Problem Your sister loans you$75 to buy a video game. You agree to workoff your loan by doing her chores for $3 anhour.
A Write an equation that you can use todetermine the amount of money you stillowe your sister.
B How much do you owe after 12 hours ofchores?
C How many hours of chores must youcomplete to pay for the $75 loan?
251 ft
22.04 ft
215.2 ft
210.2
257x 5 23.s3xd2 2 8x
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 93–98
2.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 2
GA QCC: 3
GHSGT: 33
Algebra 1 13Georgia Standardized Test Practice Workbook
1. Multiple Choice Use the distributive propertyto rewrite without parentheses.A B
C D
E
2. Multiple Choice Use the distributive property to rewrite withoutparentheses.
A B
C D
E
3. Multiple Choice Choose the expression thatis equivalent to
A B
C D
E
4. Multiple Choice Simplify the expression
A B
C D
E
5. Multiple Choice Simplify the expression
A B
C D
E
6. Multiple Choice Apply the distributiveproperty, then simplify:A B
C D
E 2x 2 7
223x 1 10217x 1 10
223x 2 10217x 2 10s4x 2 2ds25d 1 3x.
2x2 1 1
5x2 2 4x 1 15x2 2 4x 1 11
6x2 2 4x 1 1x 1 1
2x2 2 5 1 3x2 2 4x 1 6.
8x 2 7y
8x 1 y12x 1 7y
12x 1 y8x 2 y10x 2 3y 1 4y 2 2x.
s2x 2 yds4xd
2xs6x 2 2yd8sx2 212yd
s2x 1 yds24xds8x2 2 4xdy8x2 2 4xy.
24y2 2 9
3y 2 72y11y2 2 y
24y2 1 72y24y2 2 72y
s3y 2 9ds8yd
x 2 18
6x 2 36x 1 18
6x 2 186x 1 36sx 2 3d
7. Multiple Choice Apply the distributiveproperty, then simplify:
A B
C D
E
8. Multiple Choice Write and simplify anexpression modeling the area of the rectangle.
A B
C D
E
9. Multi-Step Problem You and your friendsare going on a 20-mile canoe trip. The creekis low so you will have to portage, or carry,your canoe for some of the trip. You cantravel 6 miles per hour in your canoe, and 0.7mile per hour when portaging.
a. Let p represent the miles you portage yourcanoe. Which function can you use to findthe total time spent on your canoe trip?
A
B
C
b. If you portage your canoe for 1.5 miles,how long does it take you to completeyour trip?
T 5p
0.71
20 2 p6
T 50.7p
16
20 2 p
T 5 0.7p 1 6s20 2 pd
13x2
14x25x2 1 8x
6x2 1 8x5x 1 4
3x
2x
4
3y2 1 2y 2 8
9y 1 10y9y2 2 6y
3y2 1 10y3y2 2 6y
6y2 2 ys3y 2 8d 1 2y.
TEST TAKING STRATEGY Skip questions that are too difficult for you.
Standardized Test PracticeFor use with pages 100–107
2.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 2
GA QCC: 3
GHSGT: 33
14 Algebra 1Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 108–113
2.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 2
1. Multiple Choice The expression isequivalent to
A B C
D E
2. Multiple Choice Find the quotient.
A B C
D 12 E
3. Multiple Choice Find the quotient.
A B C
D E
4. Multiple Choice Simplify the expression
A B
C D
E
5. Multiple Choice Simplify the expression
A B C
D E
6. Multiple Choice Simplify the expression
A B
C D
E 7x2 2 14
2x 2 32x 1 3
7x 2 142x2 2 3x
14x2 2 21x7x
.
72x
272x
2x7
22x7
256x3
9y2
256x12y
48x2
6y.
96x 2 326x 1 26x 2 8
6x 2 224x 2 2
24x 2 84
.
6122
12
122
89
89
223 4 s23
4d 5 ?
243
2121263421263
4
239 4 314 5 ?
a6
a ?16
a ?b1
b ?1a
b ?a1
____? .b 4 a 7. Multiple Choice Simplify the expression
A B C
D E
8. Multiple Choice Choose the value of xwhich cannot be contained in the domain of
A 0 B 5 C
D 3 E
9. Multiple Choice A roller coaster descendsfrom its highest point of 200 feet in 5 sec-onds. What is the velocity?
A B
C D
E
Quantitative Comparison In Exercises 10–13,choose the statement that is true about the givenquantities when and
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantities are equal.
D The relationship can not be determinedfrom the information given.
10.
11.
12.
13.
b 5 3.a 5 22
21000 ftysec
20.025 ftysec0.025 ftysec
40 ftysec240 ftysec
23
25
y 58
5 2 x.
9x2204.8x5
29x20x220x
264x3 416x2
5.
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you make careless mistakes.
Column A Column B
a2 2 34
18 2 b2
b
2ab 2 8a
ab
4ba
b 2 a2
3ab2
b 2 a
3a 2 5b5
5a2 2 ba
GA QCC: 1
GHSGT: 10, 11, 35
7. Multiple Choice A music store did a surveyof 100 people to find out what type of musicthey bought. The survey showed 13 peoplepreferred alternative, 23 blues, 25 hard rock,and 39 soft rock. If they surveyed one moreperson, what is the experimental probabilitythat the person would prefer alternative?
A B C
D E
Quantitative Comparison In Exercises 8–10,refer to the table and choose the statement that istrue about the given number.
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantities are equal.
D The relationship can not be determinedfrom the information given.
8.
9.
10.
13100
14100
1387
14
187
Algebra 1 15Georgia Standardized Test Practice Workbook
1. Multiple Choice If an event has aprobability of 0.75, what is the likelihood of itoccurring due to chance?A Impossible B Unlikely
C Quite likely D Certain
E Likely to occur half the time.
2. Multiple Choice A car dealership has 12cars, 6 trucks, and 7 sport utility vehicles onits lot. What is the probability of randomlychoosing a truck?
A B C
D E
3. Multiple Choice You randomly choose aninteger between 1 and 20. What are the oddsthat the integer is in the teens?
A B C
D E
4. Multiple Choice There are 20 dogs, 14 cats,6 birds, 1 snake, and 2 rabbits at a local shelter. What are the odds of randomly choosing a cat?
A B C
D E
5. Multiple Choice Given that the probabilityof choosing a King from a deck of cards is find the odds.
A B C
D E
6. Multiple Choice You toss a coin 16 times.Six of the tosses were tails. What is the exper-imental probability of tossing a head?
A B C
D E12
53
58
35
38
413
114
452
113
112
113,
129
1429
1443
717
710
1320
720
713
113
120
719
619
725
625
1225
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 114–120
2.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 2
Students taking Algebra I
Grade Female Male
9th 26 22
10th 21 19
11th 16 23
12th 6 10
Column A Column B
The probability ofchoosing a freshmanmale student
The probability of choosing a junioror senior female student
The odds ofchoosing a junior.
The odds ofchoosing a sophomore.
The probability ofchoosing a female.
The odds ofchoosing a female.
GA QCC: 5, 6
GHSGT: 38
16 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Standardized Test PracticeFor use with pages 132–137
3.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 3
1. Multiple Choice Choose the inverseoperation of subtracting A Multiply by 17 B Add
C Multiply by D Add 17
E Divide by
2. Multiple Choice Choose the inverseoperation of adding 8.A Multiply by 8 B Subtract
C Divide by 8 D Subtract
E Multiply by
3. Multiple Choice Solve A 4 B C 16
D E 60
4. Multiple Choice Solve A 16 B C
D 12 E 7
5. Multiple Choice Solve A B 18 C
D 2 E 1.2
6. Multiple Choice Solve A 13 B
C D
E 7
7. Multiple Choice There are 22 students in aSpanish class. This is an increase of 8 studentsfrom last year. Which equation could be usedto determine the number of students in lastyear’s Spanish class?A B
C D
E 22 1 8 5 x
x 1 8 5 2222 1 x 5 28
x 2 8 5 2222 1 x 5 8
2327
2133 5 |210| 2 x.
222188 1 x 5 210.
21221614 5 y 1 2.
216
24x 2 6 5 10.
28
28
8
217
217
217217.
8. Multiple Choice There were 2.6 inches ofrainfall today. The total precipitation for themonth is now 8.2 inches. Which equationcould be used to determine the amount ofprecipitation before today?A B
C D
E
9. Multiple Choice Find the length of the sidex of the triangle. The perimeter is 14.A 3
B 4
C 5
D 6
E 7
10. Multiple Choice A pet store marks up theprice of its puppies by $150. It sells them for$500 each. How much did the store originallypay for each puppy?A $650 B $350
C $250 D $150
E $500
Quantitative Comparison In Exercises 11–14,choose the statement below that is true about thegiven number.
A The solution in column A is greater.
B The solution in column B is greater.
C The two solutions are equal.
D The relationship cannot be determinedfrom the given information.
11.
12.
13.
14.
6
5
x
2.6 2 x 5 8.2
8.2 1 x 5 2.6x 1 2.6 5 8.2
2.6 1 8.2 5 xx 2 2.6 5 8.2
Column A Column B
22 5 y 2 s28d26 2 x 5 3
y 2 3 5 4|x| 2 2 5 6
6 5 y 1 4x 1 |23| 5 3
y 2 4 5 26x 1 2 5 6
Algebra 1 17Georgia Standardized Test Practice Workbook
1. Multiple Choice Choose the inverseoperation of multiplying by A Multiply by 6 B Divide by 6
C Divide by D Add 6
E Add
2. Multiple Choice Which one of these stepscan by used to solve the equation
I. Multiply by II. Multiply by
III. Divide by IV. Divide by A II only B III only
C I and III D II and III
E II and IV
3. Multiple Choice Solve
A B 6 C
D 54 E 21
4. Multiple Choice Solve
A B C
D E
5. Multiple Choice If
A B 40 C 3.6
D E 12.3
6. Multiple Choice You’re installing a newfence around an in ground swimming pool.The pool is a rectangle measuring 12 feet by20 feet. The fence must be the same distanceaway from the pool on all sides. If you have144 feet of fence, what is the distance fromany side of the pool to the fence? (Hint: Drawa diagram.)A 20 ft B 10 ft C 5 ft
D 40 ft E 15 ft
23.6
240x 5 ? .
20.3x 5 12, then
1 215
512
251222
52225
213 y 5
45.
25426
18 5x
23.
32
23
32
23
23x 5 8?
26
26
26.7. Multiple Choice The two triangles below
are similar triangles. What is the length of
A 3 B 4 C 15
D 10 E 5
8. Multiple Choice If then
represents which property of equality?
A Addition property of equality
B Subtraction property of equality
C Multiplication property of equality
D Division property of equality
E Reciprocal property of equality
Quantitative Comparison In Exercises 9–11,choose the statement that is the true about thegiven number.
A The solution in column A is greater.
B The solution in column B is greater.
C The two solutions are equal.
D The relationship cannot be determinedfrom the information given.
9.
10.
11.
ac
5bc
a 5 b and c Þ 0,
18
A B
C
15
6
D E
F
x
DE?
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices as you can make an educated guess.
Standardized Test PracticeFor use with pages 138–144
3.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 3
GA QCC: 5, 6, 27
GHSGT: 38
Column A Column B
256 5 2
13 y1
5x 5 314
23y 5 823 5 2
14x
12y 5 2428x 5 24
18 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Which one of these stepsshould you use first to solve I. Subtract 2 II. Add 2
III. Divide by 5 IV. Multiply by 5
A I B II
C III D II or III
E I or III
2. Multiple Choice Solve A B C
D 18 E
3. Multiple Choice Solve A 3 B C 1
D E
4. Multiple Choice Solve
A B C
D E
5. Multiple Choice Solve the equation
A B C
D E
6. Multiple Choice Solve A B C
D E
7. Multiple Choice Solve the equation
A B C 1
D 7 E 21
271729
32x 2 4s7x 1 3d 5 16.
2201023
216262102
23sx 1 2d 5 12.
2 2113
1 61123211
8s2x 2 1d 2 5x 5 25.
2 2113
1 611232
117
24x 2 6 2 3x 5 5.
1321
236x 2 5 2 3x 5 4.
243
218232827 5
23x 1 5.
5x 2 2 5 15?8. Multiple Choice You live in the United
States close to the Canadian border. ACanadian weatherman reports yourtemperature as being Use the formula
to find the temperature indegrees Fahrenheit.A B C
D E
9. Multiple Choice You billed your neighbor$52 for work you did around his house.Materials cost you $16, and you charged $4 anhour. How many hours did you work?A 7 hours B 8 hours
C 9 hours D 17 hours
E 32 hours
Quantitative Comparison In Exercises 10–13,choose the statement that is the true about thegiven number.
A The solution in column A is greater.
B The solution in column B is greater.
C The two solutions are equal.
D The relationship cannot be determinedfrom the information given.
10.
11.
12.
13.
688F1028F248F778F468F
F 595C 1 32
258C.
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 145–152
3.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 3
GA QCC: 5, 6, 27
GHSGT: 38
Column A Column B
x 5 2y 1 3y 5 2x 1 3
12y 1 7 2 5y 5 21414s2 2 xd 5 35
25sy 2 4d 5 63x 2 2sx 1 4d 5 8
23y 1 6 5 182x 2 7 5 215
Algebra 1 19Georgia Standardized Test Practice Workbook
1. Multiple Choice Solve A B 2 C
D 14 E
2. Multiple Choice Solve the equation
A B C
D E 9
3. Multiple Choice Solve the equation
A B C
D E 14
4. Multiple Choice Solve A 3 B 6 C
D E No solution
5. Multiple Choice Solve the equation
A B C
D E No solution
6. Multiple Choice Solve the equation
A B 3 C
D E 13
7. Multiple Choice A local health club has alarge swimming pool. Non-members must paya $6 per day fee to use the pool. Members ofthe club pay $1, but must pay a yearlymembership fee of $250. How many daysmust you use the pool to justify joining theclub?A 36 days B 38 days
C 50 days D 40 days
E 45 days
213
1323
210 1 2x 1 3s5 2 xd 512s4x 2 8d.
2313
31341
32413
4x 2 3sx 1 2d 5 5s4 2 xd.
26
23x 1 3 5 x 2 6.
119
28911
889
14s16x 2 8d 1 6 5 12 2 5x.
234
3421
42214
5x 2 12 5 23x 1 6.
21
214223x 2 6 5 4x 1 8. 8. Multiple Choice Your club decides to sell
boxes of stationery to raise money. Each boxcosts you $2.50 and there is a one timedelivery fee of $30. You plan to sell thestationery for $4.50 per box. Which equationshould you use to determine how many boxesyou must sell to cover your costs?A
B
C
D
E
Quantitative Comparison In Exercises 9–12,choose the statement that is the true about thegiven number.
A The solution in column A is greater.
B The solution in column B is greater.
C The two solutions are equal.
D The relationship cannot be determinedfrom the information given.
9.
10.
11.
12.
30 2 4.50x 5 2.50x
2.50x 1 30 5 4.50x
30 2 2.50x 5 4.50x
2.50x 2 30 5 4.50x
4.50x 1 30 5 2.50x
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 154–159
3.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 3
GA QCC: 5, 6
GHSGT: 38
Column A Column B
3x 2 7 2 5x 5 5 1 x13s3x 2 6d 5 2x
4x 2 6 5 7x 2 126x 2 1 5 5x 1 1
12sx 2 4d 5 4x16 2 2x 5 2x
3x 5 7x 2 64x 1 8 5 2s2x 1 4d
GA QCC: 1, 3, 5, 6
GHSGT: 4, 37, 38
20 Algebra 1Georgia Standardized Test Practice Workbook
Multiple Choice For Exercises 1–5, use thefollowing information. You are planting a gardenwith 3 varieties of flowers. Your garden space is36 inches deep by 72 inches wide. You want toleave 4 inches of space all around the outside, and3 inches between flower varieties. Assume eachflower bed will be the same width.
1. Which equation can be used to find the widthof each variety of flower bed?A B
C D
E
2. To the nearest tenth of an inch, how wide caneach variety of flower be?A 7.3 in. B 19.3 in.
C 20.7 in. D 18.3 in.
E 6.3 in.
3. Which equation can be used to find the depthof each flower bed?A B
C D
E
4. How deep can each type of flower plantingbe?A 9.3 in. B 32 in.
C 21.3 in. D 64 in.
E 28 in.
5. If you double the width of your flower bed,how wide (to the nearest tenth of an inch) caneach variety of flower bed be?A 38.6 in. B 36.6 in.
C 14.6 in. D 43.3 in.
E 56 in.
8 1 3x 5 72
8 1 x 5 728 1 x 5 36
4 1 x 5 368 1 3x 5 36
3x 1 17 5 36
3x 1 10 5 723x 1 17 5 72
3x 1 14 5 363x 1 14 5 72
6. Multiple Choice You have $210 and save$5 a week. Your friend has $265, savesnothing, and spends $10 a week. Determinehow many weeks it will take before you havemore money than your friend. Which one ofthe choices below can be used to check youranswer?
I.
II.
III.
A I only B II only
C III only D I and II
E I and III
7. Multi-Step Problem Two cross-countryskiers leave the ski lodge at the same time,and travel the same trail. The first skierreturns to the lodge after hours andaveraged 8 miles per hour. The second skierreturns 195 minutes later.
a. Draw a diagram modeling the situation.
b. Find the second skier’s speed.
c. Find the distance traveled by the skiers.
d. The second skier had to stop for 15minutes to wax his skis. What was thespeed of this skier if you consider onlyskiing time?
212
x
y
00
190
210
230
250
1 2 3 4 5D
ollars
Weeks
You
Your friend
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 160–165
3.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 3
Week 0 1 2 3 4You 210 215 220 225 230Friend 265 255 245 235 225
Week 1 2 3 4 5YouFriend 250240230220210
12512011511015
Algebra 1 21Georgia Standardized Test Practice Workbook
1. Multiple Choice Evaluate 4.36(7.32).Round to the nearest tenth.A 31.91 B 31.92
C 31.9 D 32.0
E 31.0
2. Multiple Choice Solve Round to the nearest hundredth.A 5.12 B 5.118
C 7.36 D 5.11
E 7.35
3. Multiple Choice Solve Round to the nearest tenth.A 2.6 B 2.7
C 1.16 D 1.2
E
4. Multiple Choice Solve the equationRound to the nearest
hundredth.A 2.08 B
C D
E
5. Multiple Choice Solve the equationRound to the
nearest thousandth.A 1.070 B
C D
E 7.920
6. Multiple Choice Solve the equationRound to
the nearest tenth.A 2.3 B
C 1.84 D 1.8
E 2.34
22.3
0.2s23.1x 2 2d 5 21.1s2x 2 3d.
20.29120.292
2.160
23s4.2 2 3.5xd 5 8x 2 7.2.
22.09
22.0821.56
23.42
14x 2 8 5 233 1 2x.
22.6
236 2 19x 5 14.
17x 2 19 5 106.
7. Multiple Choice Solve the equationRound to
the nearest tenth.A B
C D
E
8. Multiple Choice You are shopping for abirthday present. You have $20.00 to spendand your state’s sales tax is 6%. Whichalgebraic model could be used to determineyour price limit for the present?
A B
C D
E none of these
9. Multiple Choice Determine the maximumamount of money you can spend for thepresent in Exercise 8.A $12.00 B $18.87
C $18.86 D $18.80
E $21.20
10. Multi-Step Problem Your cellular phonecompany charges $29.95 per month and givesyou 30 minutes of free calls per month.Additional minutes cost $.32 per minute.Your bill last month came to $46.82. Let xrepresent the number of minutes you talkedlast month.
a. Write an equation that models thesituation.
b. Approximately how many minutes did youuse the phone? Round to the nearest tenth.
c. How many minutes did you have to payextra money for?
x 5 20s1.06dx 5 20s0.06d
1.06x 5 200.06x 5 20
20.2
0.1214.15
20.129.8
21.6s2.3xd 5 5.7s23.6x 2 0.3d.
TEST TAKING STRATEGY Read all of the choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 166–172
3.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 3
GA QCC: 1, 2, 5, 6
GHSGT: 4, 37, 38
GA QCC: 6, 27
GHSGT: 5, 18, 27, 35
22 Algebra 1Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 174–179
3.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 3
1. Multiple Choice Using the formula for thearea of a rectangular prism, solvefor w.A B
C D
E
2. Multiple Choice Using the formula forinterest, solve for r.
A B
C D
E
3. Multiple Choice Using the formula for thevolume of a circular cylinder,solve for h.
A B
C D
E
4. Multiple Choice Find the height of atriangle if the base measures 6 inches and thearea is 15 square inches. Use the formula forthe area of a triangle,A 3 in. B 4 in.
C 5 in. D 6 in.
E 7 in.
5. Multiple Choice Rewrite the equationso that y is a function of x.
A B
C D
E 2y 5 10 2 3x
x 5 22y 1 7y 5 232
x 1 5
x 5 22y3
1103
y 5 23x 1 5
3x 1 2y 5 10
A 512bh.
h 5 V 2 pr 2
h 5 V 2 p 2 r 2h 5 Vpr 2
h 5pr2
Vh 5
Vpr 2
V 5 pr2h,
r 5 IPt
r 5 I 2 P 2 tr 5 I 2 Pt
r 5I
Ptr 5
PtI
I 5 Prt,
w 5Vlh
w 5 V 2 lhw 5lhV
w 5 V 2 l 2 hw 5 Vlh
V 5 lwh,6. Multiple Choice How long will it take
$1000 invested in a savings account to doubleif the interest rate is 8%? Use the formula
A 5 yrs B 11.5 yrs
C 6.25 yrs D 10 yrs
E 12.5 yrs
7. Multiple Choice Rewrite the equationso that y is a
function of x.
A B
C D
E
Quantitative Comparison In Exercises 8–11,choose the statement that is true about the givennumber.
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantities are equal.
D The relationship can not be determinedfrom the information given.
8.
9.
10.
11.
x 545 y 2 4
y 552x 1 10x 5
25 y 2 4
y 512x 1 10y 5 2x 1 10
3y 2 2sx 1 1d 5 y 1 3sx 1 6d
I 5 Prt.
TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such
as the types of questions and the topics that the test will cover.
Column A Column BThe value of r The value of rin the formula in the formula
when when
The value of r in The value of r inthe formula the formula
when when
The value of y in The value of y inthe function the function
when when
The value of y in The value of y inthe function the equation
whenwhen x 5 2.x 5 9.2y 2 x 5 3y 2 12y 5
23x 1 12
x 5 16.x 5 5.y 5
12x 2 8y 5 2x 2 10
C 5 157.A 5 78.5.C 5 2prA 5 pr 2
d 5 36 and t 5 8.d 5 25 and t 5 6.d 5 rtd 5 rt
GA QCC: 1, 5, 6
GHSGT: 4, 5, 6, 9, 19,38, 39
Algebra 1 23Georgia Standardized Test Practice Workbook
1. Multiple Choice Which would be thecorrect unit rate for $3 for 12 cards?A $3 per card B 3 cards per dollar
C $.25 per dozen D $.25 per card
E None of these
2. Multiple Choice Which model would youuse to change 12 minutes to seconds?
A B
C D
E None of these
3. Multiple Choice Find the average speed of aperson boating 126 miles in 5 hours.A 25.2 miles B 25.2 mi/hr
C 630 mi/hr D 3.9 mi/hr
E 3.9 hours per mile
4. Multiple Choice Convert 250 pesos todollars. The exchange rate is 9.99 pesos perU.S. dollar.A $2497.50 B $259.99
C $25.03 D $240.01
E $30.02
5. Multiple Choice Which model would youuse to convert 35 miles per hour to feet persecond?
A 35 mi/hr
B 35 mi/hr
C 35 mi/hr
D 35 mi/hr
E 35 mi/hr35280 ft1 mile
31 hr
60 min
35280 ft1 mile
31 hr
3600 sec
35280 ft1 mile
31 hr
360 sec
31 mile5280 ft
31 hr
60 min
35280 ft1 mile
360 min
1 hr
12 min ?1 sec
60 min12 min ?
60 min1 sec
12 min ?60 sec1 min
12 min ?1 min60 sec
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
Standardized Test PracticeFor use with pages 180–186
3.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 3
6. Multiple Choice If 19% of Round to the nearest tenth.
A 236.8 B 236.9
C 8.5 D 8.6
E 0.4
7. Multiple Choice What percent of peoplewere in favor of a survey question if 162people voted no out of a total of 525 voters?Round to the nearest tenth.A 69% B 31%
C 30.8% D 69.1%
E 30.9%
8. Multiple Choice What is the total charge ofa meal before tip if the tip came to $5.25 andwas 15% of your bill?A $78.75 B $3.64
C $40 D $79
E $35
9. Multi-Step Problem You’re a stocker at agrocery store. The store received a shipmentof 500 heads of lettuce. You sample 50 headsof lettuce and found that 4 heads were brown.
a. Write a ratio that would estimate thenumber of heads of lettuce in the shipmentthat were brown.
b. Use the ratio from above to estimate thenumber of brown heads in the shipment.
c. If the store has a policy of accepting anyshipment of produce if damaged produceis 7% or less of the shipment, should youreject or accept this shipment?
then x 5 ? .x 5 45,
GA QCC: 1, 15
GHSGT: 4, 13, 25
24 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 203–208
4.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 4
Multiple Choice For Exercises 1–5, refer to thecoordinate plane below.
1. Which quadrant is point B in?A Quadrant I B Quadrant II
C Quadrant III D Quadrant IV
E Cannot be determined from the giveninformation.
2. Which ordered pair corresponds to the pointlabeled A?
A B
C D
E
3. Which point corresponds to the ordered pair
A G B B C H
D D E F
4. Which quadrant would the ordered pairbe in?
A I B II C III
D IV E II or III
5. Which points have positive y-coordinates?A A and F B A and B
C B and H D B and F
E H and F
s23, 22d
s2, 21d?
s2, 21d
s21, 22ds21, 2d
s2, 1ds1, 2d
1 32123
23
21
1
3
y
xF
GAE
I
H
B
C
D
6. Multiple Choice In the scatter plot below,what conclusion can you come to from thedata plotted?
A There is a strong positive correlation.
B There is a weak positive correlation.
C There is no correlation.
D There is a weak negative correlation.
E There is a strong negative correlation.
7. Multi-Step Problem The number ofcustomers (in thousands) at a winter resortare shown in the table.
a. Construct a scatter plot of the data.
b. Describe the pattern of the number ofskiers.
c. Describe the pattern of the number ofsnowboarders.
d. Predict the number of snowboarders for2001.
y
x001
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8
Hours of practice (weekly)P
oin
ts s
co
red
Year 1992 1993 1994
Skiers 8.2 8.6 9.1
Snowboarders 2.1 3 4.2
Year 1995 1996 1997
Skiers 9.7 10.3 10.8
Snowboarders 4.9 5.9 6.9
GA QCC: 17, 18
GHSGT: 42
Algebra 1 25Georgia Standardized Test Practice Workbook
1. Multiple Choice Choose the ordered pairthat is a solution of
A B C
D E
2. Multiple Choice Choose the ordered pairthat is a solution of
A B
C D
E
3. Multiple Choice Choose the group ofordered pairs that are solutions of theequation
A B
C D
E
4. Multiple Choice Choose the group ofordered pairs that are solutions of the equa-tion
A
B
C
D
E
5. Multiple Choice Which point does not lieon the graph of
A B
C D
E
6. Multiple Choice Which point does not lieon the graph of
A B C
D E s10, 1ds4, 2d
s1, 63ds0, 83ds2, 73d3y 1
12 x 5 8?
s22, 1d
s22, 4ds2, 22d
s22, 22ds22, 0dx 5 22?
s8, 8d, s2, 212d
s4, 28d, s8, 8d
s1, 216d, s4, 28d
s0, 214d, s1, 212d
s0, 216d, s2, 212dy 5 8s1
4 x 2 2d.
s2, 23d, s4, 5d
s0, 4d, s2, 2ds1, 1d, s3, 25d
s1, 2d, s3, 4ds1, 0d, s2, 22dy 5 23x 1 4.
s23, 21d
s3, 21ds23, 0d
s21, 23ds1, 3dy 5 23.
s3, 2ds6, 2d
s4, 3ds0, 6ds5, 1d2x 2 3y 5 6.
7. Multiple Choice What is the equation ofthe line shown?
A B
C D
E
8. Multiple Choice What is the equation ofthe line shown?
A B
C D
E
9. Multi-Step Problem Your parents limit yourphone use to 18 hours every week. You needto split that between hours spent on the phonewith your friends and hours spent using theinternet. Your parents count one hour on lineas hour of phone time since some of yourtime is spent doing homework. An algebraicmodel is where x is hours spenton the phone and y is the hours spent on line.a. Solve the equation for y.
b. Use the equation from part (a) to make atable of values for and
c. Plot the points and draw the line.
x 5 15.x 5 10,x 5 5,
x 112 y 5 18
12
2x 2 3y 5 26
22x 2 3y 5 622x 1 3y 5 6
2x 1 3y 5 262x 1 3y 5 6
12121
3
1
x
y
y 5 0
y 5 2y 5 22
x 5 2x 5 22
123 2121
23
3
1
x
y
TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such
as the types of questions and the topics that the test will cover.
Standardized Test PracticeFor use with pages 210–217
4.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 4
GA QCC: 15, 16, 17, 18
GHSGT: 43
26 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the x-intercept ofthe line A 0 B 2 C 5
D E
2. Multiple Choice What is the y-intercept ofthe line A 0 B 2 C 5
D E
3. Multiple Choice What is the x-intercept ofthe line
A 0 B 12 C
D 10 E 40
4. Multiple Choice What is the y-intercept ofthe line shown?
A 3 B C 2
D E 0
5. Multiple Choice What is the x-intercept ofthe line shown in exercise 4?A 3 B C 2
D E 022
23
22
23
12121
3
1
x
y
1003
12 x 1
35 y 5 20?
2522
5x 2 2y 5 10?
2522
5x 2 2y 5 10?6. Multiple Choice A hot dog stand sells foot-
long hot dogs for $2.50 and 6 inch hot dogs for$1.50. If the stand makes $54 one day, choosethe equation which models the situation.A
B
C
D
E B and D
Quantitative Comparison In Exercises 7–10,choose the statement that is true about the givennumber.
A The number in column A is greater
B The number in column B is greater
C The two numbers are equal
D The relationship cannot be determinedfrom the information given.
7.
8.
9.
10.
y 5 21.67x 1 36
y 5 21.67x 2 36
2.50x 1 1.50y 5 54
2.50x 2 1.50y 5 54
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 218–224
4.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 4
Column A Column B
The x-intercept of3y 1 6x 5 12
The y-intercept of2y 1 7x 5 14
The x-intercept ofy 5 6
The y-intercept ofx 5 3.
0The y-intercept ofx 1
12 y 5 4
The x-intercept of12 x 2 2y 5 8
The y-intercept of12 x 2 2y 5 8
GA QCC: 16, 18
GHSGT: 43
Algebra 1 27Georgia Standardized Test Practice Workbook
1. Multiple Choice Which is the formula tofind the slope of a line?
A B
C D
E
2. Multiple Choice Find the slope of the linepassing through the points and
A 3 B 1 C
D E
3. Multiple Choice Find the slope of the linepassing through the points and
A B C 4
D E
4. Multiple Choice Find the slope of the linepassing through the points and A undefined B 0 C 8
D E
5. Multiple Choice Find the slope of the linepassing through the points and
A undefined B 0 C
D E 2
6. Multiple Choice Find the value of y so thatthe line passing through and has aslope of 5.
A B 9 C
D E 121
275
529
s1, yds2, 6d
12
1114
s7, 9d.s7, 22d
58
85
s22, 4d.s3, 4d
21224
2214
s2, 9d.s26, 7d
4321
34
s9, 4d.s5, 8d
m 5y2 2 x2
y1 2 x1
m 5x2 1 x1
y2 2 y1m 5
y2 2 y1
x2 2 x1
m 5y2 1 y1
x2 1 x1m 5
x2 2 x1
y2 2 y1
7. Multiple Choice Find the value of x so thatthe line passing through and hasa slope of A 2 B C 8
D E
8. Multiple Choice In 1989, a movie ticketcost $3.00. In 1999, a movie ticket cost$5.50. Find the average rate of change in amovie ticket’s price in dollars per year.A $.20 B $.25 C $.30
D $.85 E $4.00
Quantitative Comparison In Exercises 9–12,choose the statement that is true about the givennumber.
A The number in column A is greater
B The number in column B is greater
C The two numbers are equal
D The relationship cannot be determinedfrom the information given.
9.
10.
11.
12.
21728
2222.
sx, 9ds10, 5d
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 226–233
4.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 4
Column A Column B
The slope of the linethrough ands10, 8d
s6, 6dThe slope of the linethrough ands17, 14d
s5, 8d
The slope of the linethrough ands5, 3d
s3, 6d 0
The slope of the linethrough ands8, 10d
s1, 3dThe slope of theline through and s18, 0d
s12, 6d
The slope of the linethrough ands7, 3d
s5, ydThe slope of theline through and sx, 14d
s4, 8d
GA QCC: 6, 15, 16, 28
GHSGT: 36, 39
28 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice In a direct variation model,if the constant of variation in the equation is3, then the slope is A 3 B
C D
E Cannot be determined from the giveninformation.
2. Multiple Choice Choose the constant ofvariation of the direct variation model
A 5 B C
D x E y
3. Multiple Choice Choose the constant ofvariation of the direct variation model
A x B C
D E y
4. Multiple Choice The variables x and y varydirectly. Which equation relates x and y when
and A B
C D
E
5. Multiple Choice The variables x and y varydirectly. Which equation relates x and y when
and A B
C D
E y 512 x
y 5 12xx 5 12y
y 5 3xx 5 3yy 5 6?x 5
12
y 5 3x
y 2 12xx 5 3y
y 2 4xx 5 4yy 5 12?x 5 4
212
1222
212 x 5 y.
21525
y 5 25x.
213
13
23_____? .
6. Multiple Choice Choose the ratio form ofthe direct variation model
A B
C D
E
7. Multiple Choice One year in a dog’s life isequivalent to seven years in a human’s life.Choose the model that relates a dog’s life d toa human’s life h.
A B
C D
E
Quantitative Comparison In Exercises 8–10,choose the statement that is true about the givennumber.
A The number in column A is greater
B The number in column B is greater
C The two numbers are equal
D The relationship cannot be determinedfrom the information given.
8.
9.
10.
h 5 217 d
h 517 dd 5
17 h
d 5 7hd 5 27h
k 5 xy
k 5x
2yk 5
yx
k 52xy
k 5xy
y 5 kx.
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Standardized Test PracticeFor use with pages 234–239
4.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 4
Column A Column B
The constant of vari-ation in y 5 23x
The constant of variation in 5x 5 y
The value of y whenand y 5 2
19 xx 5 3
The value of xwhen andy 5 2x
y 5 22
The slope of the line2y 1 x 5 0
The constant ofvariation iny 5 2
12 x
GA QCC: 1, 2, 6, 17, 18
GHSGT: 4, 42
Algebra 1 29Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the slope of a lin-ear equation written in slope-intercept form,
A y B x C m
D b E mx
2. Multiple Choice What is the slope of thegraph of A 1 B C 2
D 3 E
3. Multiple Choice What is the slope of thegraph of
A 4 B C
D E 5
4. Multiple Choice What is the y-intercept ofthe graph of A 1 B 5 C 2
D E
5. Multiple Choice What is the y-intercept ofthe graph of
A 18 B C 6
D E
6. Multiple Choice Choose the set of equa-tions which are parallel lines.A
B
C
D
E y 5 6x 1 3, y 516 x 1 3
y 5 212 x 1 2, y 5 2
12 x
y 5 25x 1 1, y 5 5x 1 3
y 5 3x 1 6, y 5 2x 1 6
x 5 2, y 5 6
22326
23
3y 2 2x 5 18?
2522
y 5 5x 2 2?
43
24324
4x 1 3y 5 15?
22
23y 5 23x 1 2?
y 5 mx 1 b?
7. Multiple Choice What is the equation, inslope-intercept form, of the line shown?
A B
C D
E
8. Multiple Choice You are filling a pot withwater. The water level in the pot is rising at arate of 2 inches per minute. The pot is already3 inches full. The equation models the depth of the water after x minutes.What is the depth of the water after 3 minutes?
A 3 B 7 C 6
D 8 E 9
Quantitative Comparison In Exercises 9–11,choose the statement that is true about the givennumber.
A The number in column A is greater
B The number in column B is greater
C The two numbers are equal
D The relationship cannot be determinedfrom the information given.
9.
10.
11.
y 5 2x 1 3
y 525 x 2 2
25x 2 2y 5 10y 5 225 x 2 2
y 5 225 x 1 222x 2 5y 5 10
1212521
23
1
x
y
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 241–247
4.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 4
Column A Column B
The slope ofy 5 23x 1 6
The slope ofy 5 22x 1 2
The slope ofy 5 25x
The slope of2y 5 210x 1 15
The y-intercept of
y 512 x 1 3
The y-intercept ofy 5 13x
GA QCC: 16
GHSGT: 42
30 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Which equation below iswritten in the form
A B
C D
E
2. Multiple Choice Match the equation withthe line whose x-intercept is the solution ofthe equation.
A B
C D
E
3. Multiple Choice Rewrite the equationin form.
A B
C D
E
4. Multiple Choice Rewrite the equation
in form.A B
C D
E x 5 29
y 513 x 1 9y 5 x 1 9
x 1 9 5 08 5 17 1 xy 5 ax 1 b8 2
23 x 5 17 1
13 x
y 5 23x 2 8
23x 2 8 5 0x 5 283
23x 1 8 5 023x 5 8ax 1 b 5 07 2 3x 5 15
5x 1 5 5 0
12 x 2
12 5 01 2 x 5 0
x 2 1 5 03x 1 6 5 0
1 323
1
23
x
y
5x 2 2y 5 0
22x 2 17 5 03x 1 6 5 y
y 512 x 1 22x 1 3y 5 7
ax 1 b 5 0?5. Multiple Choice Solve the equation
algebraically.
A B C
D E
6. Multiple Choice The graph below showsthe solution of which equation?
A B
C D
E
7. Multi-Step Problem A store owner is tryingto predict next year’s sales for his store. Hedeveloped two models to estimate for anaverage year and a good year. In the models,x is the number of years since 1994.
Model 1:
Model 2:
a. Write equations to solve for the year eachmodel predicts sales will be $350,000.
b. Graph the equation on one coordinateplane. In what year will sales reach$350,000 for each model?
S 5 24,750x 1 220,000
S 5 13,850x 1 220,000
y 5 212 x 1
83
y 523 x 1 42y 1 3x 5 8
4y 1 3x 5 63y 1 2x 5 8
1 321
1
21x
y
3152104
5
271512104
5
225 x 1 6 5
65
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
Standardized Test PracticeFor use with pages 250–255
4.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 4
GA QCC: 1, 5, 6
GHSGT: 4
Algebra 1 31Georgia Standardized Test Practice Workbook
1. Multiple Choice Which of the relationsbelow is not a function?A
B
C
D
E
2. Multiple Choice Evaluate the functionwhen
A 9 B 6 C
D E
3. Multiple Choice Evaluate the functionfor
A 5 B C
D 11 E
4. Multiple Choice Find the slope of the graphof the linear function f if and
A B C
D 2 E
5. Multiple Choice Find the slope of the graphof the linear function g if and
A 0 B 9 C 4
D E142
14
gs2d 5 5.gs22d 5 4
252
22122
25
fs22d 5 24.fs3d 5 6
211
22525x 5 23.gsxd 5 2x2 2 7
28326
29x 5 2.fsxd 5
32 x 1 6
6. Multiple Choice The line below matcheswhich function?
A B
C D
E
7. Multiple Choice If it takes 1.3 hours for astick to float of a mile downstream, choosethe correct linear function expressing thedistance traveled as a function of time.
A B
C D
E
Quantitative Comparison In Exercises 8–10,choose the statement that is true about the givennumber.
A The number in column A is greaterB The number in column B is greaterC The two numbers are equalD The relationship cannot be determined
from the information given.
8.
9.
10.
fstd 5 1.73t
fstd 5 0.75tfstd 5 0.58t
fstd 5 1.3tfstd 51.30.75 t
34
fsxd 523 x 2 3
fsxd 523 x 1 3fsxd 5
23 x 1 2
fsxd 523 x 2 2fsxd 5 2
23 x 2 2
1 3 521
1
3
21
23
x
y
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 256–262
4.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 4
Input 1 2 3 4Output 2 4 6 8
Input 0 1 2 3Output 2 2 2 2
Input 0 1 1 2Output 1 2 3 4
Input 1 2 3 4Output 2 2 4 4
Input 1 2 3 4Output 5 6 7 8
Column A Column B
when x 5 3fsxd 5 25x 1 2
when x 5 23fsxd 5 25x 1 2
whenx 5 4gsxd 5
12 x 2 3
when x 5 9gsxd 5 2
23 x 1 3
whenx 5 22fsxd 5 x2 1 3
when x 5 22fsxd 5 2x2 1 3
GA QCC: 3, 17, 19
GHSGT: 43
32 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 273–278
5.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 5
1. Multiple Choice An equation of the linewhose slope is 3 and whose y-intercept is 8 is
.A B
C D
E
2. Multiple Choice An equation of the linewhose slope is and whose y-intercept is 9is .A B
C D
E
3. Multiple Choice An equation of the linewhose slope is and whose y-intercept is is .
A B
C D
E
4. Multiple Choice What is an equation of theline shown in the graph?
A B
C D
E y 5 2x 112
y 5 212 x 1 1y 5
12 x 2 1
y 512 x 1 1y 5 2x 2 1
323 21
1
3
23
x
y
y 512 x 1 2
y 5 22x 112y 5 22x 2
12
y 5 212 x 2 2y 5
12 x 2 2
____?221
2
y 5 26x 1 9
y 5 6x 2 9y 5 26x 2 9
y 5 9x 2 6y 5 29x 2 6____?
26
y 5 3x 2 8
y 5 23x 2 8y 5 23x 1 8
y 5 3x 1 8y 5 8x 1 3____?
5. Multiple Choice Write a set of equationsfor parallel lines shown in the graph.
A
B
C
D
E
Quantitative Comparison In Exercises 6–9,choose the statement below that is true about thegiven number.
A The number is column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
6.
7.
8.
9.
y 5 3x; y 5 3x 2 1
y 513 x; y 5
13 x 2 1
y 513 x; y 5
13 x 1 2
y 5 3x; y 5 3x 1 2
y 5 3x; y 5 3x 2 2
1 323
3
x
y
Column A Column B
The y-intercept ofy 5 3x 2 5
The slope ofy 5 3x 2 5
The slope of
y 5 212 x 2
15
The y-intercept of
y 5 212 x 2
15
The x-intercept ofy 5 5x 1 6
The y-intercept ofy 5
25 x 2
65
The y-intercept ofy 5 3x
The x-intercept ofy 5 2x 1 1
Algebra 1 33Georgia Standardized Test Practice Workbook
1. Multiple Choice What is an equation of theline that passes through the point andhas a slope of 3?A B
C D
E
2. Multiple Choice What is an equation of theline that passes through the point andhas a slope of A B
C D
E
3. Multiple Choice What is an equation of theline that passes through the point andhas slope of
A B
C D
E
4. Multiple Choice Write an equation of theline shown in the graph.
A B
C D
E y 5 22x 2 3
y 512 x 2 3y 5 2x 2 3
y 512 x 1 3y 5 2x 1 3
3121
1
3
23
21x
y
(2, 1)
y 5 212 x 2 3
y 5 212 x 2
52y 5 2
12 x 1
52
y 512 x 1
25y 5
12 x 2
25
212?
s1, 23d
y 5 5x 1 18
y 5 25x 2 18y 5 25x 1 18
y 5 25x 2 6y 5 25x 2 1425?
s22, 4d
y 5 3x 1 2
y 5 3x 1 7y 5 3x 2 7
y 5 3x 1 3y 5 3x 2 3
s3, 2d5. Multiple Choice What is an equation of the
line that is parallel to and passesthrough the point A B
C D
E
6. Multiple Choice What is an equation of theline that is parallel to and has anx-intercept of
A B
C D
E
Quantitative Comparison In Exercises 7–9,choose the statement below that is true about thegiven number.
A The number is column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
y 512 x 1 2
y 5 212 x 1 2y 5 2
12 x 2 2
y 512 x 2 2y 5
12 x 2 4
24?y 5
12 x 2 3
y 5 23x
y 5 3x 1 2y 5 3x 1 6
y 5 3xy 5 3x 1 2s2, 6d?
y 5 3x 1 1
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 279–284
5.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 5
GA QCC: 16, 19
GHSGT: 43
Column A Column B
The y-intercept of theline with andpassing through s1, 3d
m 5 2The y-intercept of theline with and passing throughs3, 25d
m 5 21
The y-intercept of the
line with andpassing throughs6, 23d
m 512
The y-intercept of theline with and passing throughs1, 2d.
y 5 4x 1 2
The slope of the line
parallel to y 515 x
The y-intercept of the
line with andpassing throughs4, 23d
m 532
34 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is an equation of theline that passes through points and
A B
C D
E
2. Multiple Choice What is an equation of theline that passes through the points and A B
C D
E
3. Multiple Choice What is the slope of theline perpendicular to the line
A 2 B C
D E
4. Multiple Choice Write an equation of theline shown in the graph.
A B
C D
E
5. Multiple Choice Which set of lines areperpendicular?A
B
C
D
E y 5 3; y 5 x 1 1
y 5 26x 1 1; y 5 216 x 2 1
y 523 x 1
12; y 5
23 x 2 2
y 513 x; y 5 23x 1 2
y 5 2x 1 3; y 5 22x 1 6
y 534 x 1
12
y 543 x 2
12y 5
34 x 2
12
y 543 x 1
12y 5 2
34 x 1
12
3123
1
3
23
21x
y
(2, 2)
(22, 21)
16
12
22212
y 512 x 2 6?
y 5 212 x 2 11
y 512 x 1 11y 5 22x 1 11
y 5 2x 2 11y 5 2x 1 11s2, 15d?
s23, 5d
y 5 213 x 1 3
y 5 213 x 1
113y 5 23x 1
113
y 5 213 x 2
113y 5 3x 2
113
s21, 4d?s2, 3d
6. Multiple Choice Which lines are perpendicular?
Line d passes through and
Line e passes through and
Line f passes through and A Lines d and e
B Lines d and f
C Lines e and f
D All three are perpendicular
E None of these
7. Multiple Choice Which is an equation of aline perpendicular to the line
A B
C D
E
8. Multi-Step Problem The triangle shown is aright triangle.
a. Find the equations of the lines that formside side and side
b. Which two sides of the triangle form theright angle? How can you prove it?
AC.BC,AB,
323 21
1
23
x
y
(23, 22)
(21, 3)(4, 1)
A
B
C
y 5 232 x 2 2
y 5 223 x 2
12y 5
32 x 2
12
y 523 x 1 3y 5 2
23 x 1 6
y 5 232 x 1
12?
s7, 6d.s2, 10ds5, 8d.s23, 22d
s21, 6d.s2, 4d
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Standardized Test PracticeFor use with pages 285–291
5.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 5
GA QCC: 5, 16, 19
GHSGT: 43
Algebra 1 35Georgia Standardized Test Practice Workbook
Multiple Choice In Exercises 1–6, refer to thescatter plots below.
I. II.
III. IV.
1. Which plot has a positive correlation?A I B II C IV
D I and III E I and IV
2. Which plot has a negative correlation?A I B II C III
D IV E I and IV
3. Which plot has no correlation?A I B II C III
D IV E I and IV
4. Which equation would best fit Graph IV?
A B
C D
E y 512 x 1 2
y 534 x 1 3y 5
34 x 2
62
y 5 234 x 1
92y 5
34x 1
92
21 1 323
1
3
5
7
x
y
21 1 323
1
3
5
21x
y
21 1 323
1
3
21
23
x
y
21 123
1
25
21x
y
5. Which equation would best fit Graph III?A B
C D
E
6. Which equation would best fit Graph I?
A B
C D
E
7. Multi-Step Problem The average price of apound of large gulf shrimp is shown in thetable.
a. Draw a scatter plot of the price of shrimpletting x represent the number of yearssince 1992.
b. Find the equation of the line that best fitsthe data.
c. Use the equation to approximate the priceper pound in 2001.
y 5 2x 2 1
y 523 x 1
52y 5
23 x 2
52
y 5 22x 2 1y 5 223 x 2
52
y 5 212 x 1 3
y 5 2x 1 2y 512 x 1 2
y 5 x 1 4y 5 x 1 2
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip
questions that are too difficult for you and spend no more than a few minutes on
each question.
Standardized Test PracticeFor use with pages 292–298
5.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 5
GA QCC: 1, 16, 17, 19
GHSGT: 4, 12, 13, 16
Year 1992 1993 1994 1995
Dollars / lb 8.40 9.10 9.80 10.50
Year 1996 1997 1998
Dollars / lb 11.20 13.50 15.90
36 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the value of inthe equation A 6 B C 2
D E
2. Multiple Choice Which equation in point-slope form passes through the point andhas a slope of
A
B
C
D
E
3. Multiple Choice Which equation in point-slope form passes through the point and has slope of
A B
C D
E
4. Multiple Choice Which equation in point-slope form passes through the points and
A
B
C
D
E
5. Multiple Choice Which equation in point-slope form passes through the points and
A
B
C
D
E y 1 1 5 275sx 2 3d
y 2 1 5 275 sx 1 3d
y 1 2 5 275 sx 2 6d
y 1 1 5 257 sx 2 3d
y 1 1 575 sx 2 3d
s3, 21d?s22, 6d
y 2 8 5 213 sx 1 2d
y 2 5 5 213 sx 2 3d
y 2 5 5 3sx 2 3dy 2 5 5 23sx 2 3dy 2 8 5 23sx 2 3d
s2, 8d?s3, 5d
y 1 1 523 sx 2 6d
y 2 6 523 sx 2 1dy 1 6 5
23 sx 2 1d
y 2 1 523 sx 1 6dy 2 6 5
23 sx 1 1d
23?
s21, 6d
y 5 213 x 1
73
y 1 2 5 213 sx 1 3d
y 2 2 5 213 sx 2 3d
y 2 3 5 213 sx 2 2d
y 1 3 5 213 sx 2 2d
213?
s2, 3d
1222
26y 2 6 5
12 sx 1 2d?
x1 6. Multiple Choice Which is the equation forthe line shown in the graph?
A
B
C
D
E
Quantitative Comparison In Exercises 7–9,choose the statement below that is true about thegiven number.
A The number is column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
2y 2 1 5 214 sx 1 3d
2y 2 2 5 4sx 2 1dy 2 1 5
14 sx 1 3d
y 2 2 5 24sx 2 1dy 1 3 5 2
14 sx 2 1d
123 21
1
3
21x
y
(1, 2)(23, 1)
TEST TAKING STRATEGY As soon as the testing begins, start working. Keep moving
and stay focused on the test.
Standardized Test PracticeFor use with pages 300–306
5.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 5
GA QCC: 19
GHSGT: 41
Column A Column B
The value of m in
y 1 3 512 sx 2 2d
The value of in
y 2 6 512 sx 2 2d
x1
The value of iny 1 3 5 22sx 2 3d
y1 The value of m in theline passing through
and s2, 3ds1, 8dThe value of m in theline passing through
ands2, 23ds21, 25d
The value of iny 2 6 5 7sx 2 8d
y1
Algebra 1 37Georgia Standardized Test Practice Workbook
1. Multiple Choice Write instandard form with integer coefficients.A B
C D
E
2. Multiple Choice What is the standard formof an equation of the line that passes throughthe point and has a slope of A B
C D
E
3. Multiple Choice What is the standard formof an equation of the line that passes throughthe point and has a slope of A B
C D
E
4. Multiple Choice What is the standard formof an equation of the line that passes throughthe points and
A
B
C
D
E
5. Multiple Choice What is the standard formof an equation of the line that passes throughthe points and
A B
C D
E 8x 1 3y 5 224
3x 1 8y 5 648x 1 3y 5 8
y 5 283 x 1 88x 1 3y 5 24
s6, 28d?s3, 0d
3x 1 2y 5 25
23x 1 2y 5 25
23x 1 2y 5 11
3x 1 2y 5 11
y 2 4 532 sx 1 1d
s27, 25d?s21, 4d
5x 1 y 5 218
5x 2 y 5 385x 1 y 5 238
5x 1 y 5 2425x 1 y 5 4225?s28, 22d
x 2 2y 5 211
x 1 2y 5 11x 1 2y 5 211
x 1 2y 5 9x 2 2y 5 29
12?s21, 5d
3x 2 7y 5 214
3x 2 7y 5 1423x 1 7y 5 14
23x 1 7y 5 227y 5 3x 2 14
y 537 x 2 2 6. Multiple Choice What is the standard form
of an equation of the horizontal line that passesthrough the point A B
C D
E
7. Multiple Choice What is the standard formof an equation of the vertical line in thegraph?
A B
C D
E
Quantitative Comparison In Exercises 8–10,choose the statement below that is true about thegiven number.
A The number is column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
y 5 23
x 5 1y 5 2
x 5 23y 5 22
12125
1
3
21x
y
(1, 2)
(23, 22)
y 5 0
x 5 28y 5 28
x 5 2y 5 2s2, 28d?
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 308–314
5.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 5
GA QCC: 5, 6, 16, 17,19
GHSGT: 42, 43
Column A Column B
The constant term in3x 1 2y 5 7
A in the standardform of 5x 1 8y 5 7
The x-intercept of3x 2 2y 5 210
The y-intercept of2x 1 5y 5 6
The slope of x 5 26 The slope of12x 1 3y 5 16
38 Algebra 1Georgia Standardized Test Practice Workbook
Multiple Choice In Exercises 1 and 2 refer tothe scatter plots below.
I. II.
III. IV.
1. Which graph could be modeled with a linearmodel?A I B II C III
D I and III E I, III and IV
2. Which linear model could be used to modelgraph III?A B
C D
E
3. Multiple Choice If you are using linearextrapolation, then you are estimating a datapoint A above the data points given
B below the data points given
C to the right of the data points given
D between the given data points
E none of these
___? .
y 5 3x 1 1
y 5 x 1 3y 5 x 2 1
y 5 x 1 1y 5 2x 1 1
1 321
1
3
21x
y
1 32123
1
3
21x
y
1 32123
1
3
21
23
x
y
1 32123
1
3
21
23
x
y
4. Multiple Choice If you are using linearinterpolation, then you are estimating a datapoint A above the data points given
B below the data points given
C to the right of the data points given
D between the given data points
E none of these
5. Multi-Step Problem The table below showsthe average weekly hours spent watching TVand using the Internet by children.
a. Make a scatter plot of the number of hoursspent watching TV in terms of the year t.Let t be the number of years since 1990.
b. Make a scatter plot of the number of hoursspent using the Internet in terms of theyear t. Let t be the number of years since1990.
c. Write a linear model for hours spentwatching TV and hours using the Internet.
d. Use the linear model for the hours spenton the Internet to estimate the number ofhours in 2001. Is this linear interpolationor extrapolation?
e. Use the model for hours spent watchingTV to estimate the hours spent watchingTV in 1995. Is this linear interpolation orextrapolation?
___? .
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 316–322
5.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 5
GA QCC: 1, 5, 19
GHSGT: 4, 13, 16
Year 1990 1992 1994 1996 1998
TV 20 19 18 15 14
Internet 2 5 7 10 13
Algebra 1 39Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 334–339
6.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
GA QCC: 5, 6, 16, 17,22
GHSGT: 41, 43
TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such
as the types of questions and the topics that the test will cover.
1. Multiple Choice Describe the solution of
A All real numbers less than 7
B All real numbers less than or equal to 7
C All real numbers greater than or equal to 7
D All real numbers less than 12
E None of these
2. Multiple Choice Describe the solution of
A All real numbers greater than
B All real numbers less than
C All real numbers greater than 11
D All real numbers less than 11
E None of these
3. Multiple Choice Choose the solution of
A B
C D
E
4. Multiple Choice Choose the solution of
A B
C D
E
5. Multiple Choice The coldest temperaturerecorded in your city was Choosethe inequality describing all of the recordedtemperatures in your city.
A B
C D
E None of these
t ≥ 26t ≤ 26
t > 26t < 26
268C.
x ≤ 24
x ≤ 237x ≤ 221
x ≥ 221x ≥ 242
x7 ≥ 3.
x < 5
x < 15x > 15
x > 25x > 525 1 x > 10.
25
25x 2 8 > 3.
2x ≤ 14.6. Multiple Choice Which graph represents
the solution of
A
B
C
D
E
7. Multiple Choice Which graph representsthe solution of A
B
C
D
E
Quantitative Comparison In Exercises 8–10,choose the statement that is true about the givennumber.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
21222324 0 1 2 3
21222324 0 1 2 3
21222324 0 1 2 3
21222324 0 1 2 3
21222324 0 1 2 3
23x ≤ 6?
24252627 23 22 21 0
24252627 23 22 21 0
24252627 23 22 21 0
10 11 12 13 14987
10 11 12 139876
x 1 7 > 3?
Column A Column B
x 1 7 ≥ 282x3 ≤ 5
2x < 10x 2 10 ≥ 23
x ≥ 6x < 6
40 Algebra 1Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 340–345
6.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 6
GA QCC: 22
GHSGT: 41
1. Multiple Choice Which inequality isequivalent to A B
C D
E
2. Multiple Choice Which inequality isequivalent to A B
C D
E
3. Multiple Choice Describe the solution ofthe inequality A All real numbers greater than or equal
to
B All real numbers greater than or equalto 20
C All real numbers less than or equalto
D All real numbers less than or equal to
E All real numbers greater than or equalto
4. Multiple Choice Which inequality isequivalent to A B
C D
E
5. Multiple Choice Which inequality isequivalent to A B
C D
E x < 23
x > 235x < 2
35
x > 3x < 36 2 x > 4x 1 9?
x ≤ 21
x ≥ 26x ≤ 26
x ≥ 21x ≥ 6x 2 5 ≤ 3x 1 7?
25
25
220
220
212 x 2 4 ≤ 6.
x ≥ 34
x ≤ 34x ≤ 22
x ≥ 2x ≤ 25 2 8x ≥ 211?
x ≤ 6
x ≥ 53x ≤ 5
3
x ≤ 3x ≥ 33x 2 2 ≤ 7?
6. Multiple Choice It costs $20 to golf at alocal course. A season pass costs $250.Which inequality represents the number ofgames you need to play to justify buying aseason pass?A B
C D
E None of these
7. Multi-Step Problem You are working onyour school’s yearbook. It takes at least3 hours to design and lay out a page.a. Write an inequality that describes the
number of hours it would take to lay out a220-page yearbook.
b. You work 4 hours per week. Write aninequality describing the number of weeksit would take you to complete theyearbook if you were working alone.
c. Write an inequality to describe the numberof people that would be necessary tocomplete the yearbook in 20 weeks or lessif each person averages 5 hours of workper week.
x ≤ 12x ≥ 13
x > 12x ≥ 12
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Algebra 1 41Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 346–352
6.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
GA QCC: 5, 6, 22
GHSGT: 38, 41
1. Multiple Choice Which inequalityrepresents all real numbers greater than 4 andless than or equal to 7?A B
C D or
E or
2. Multiple Choice Describe the solution ofthe compound inequality or
A All real numbers less than andgreater than 2
B All real numbers less than 3 and greaterthan
C All real numbers less than 3 and greaterthan 2
D All real numbers less than or greaterthan
E All real numbers less than andgreater than
3. Multiple Choice Describe the solution ofthe inequality A All real numbers less than 9 and greater
than or equal to 5
B All real numbers less than 15 or greaterthan or equal to 11
C All real numbers less than 15 and greaterthan or equal to 11
D All real numbers less than 9 or greaterthan or equal to 5
E None of these
4. Multiple Choice Choose the solution of theinequality A B
C D A and C
E A and B
23 ≥ x > 27
23 ≤ x < 2727 < x ≤ 236 ≤ 2 2x < 14.
8 ≤ x 2 3 < 12.
272
195
2223
22
2325x 1 2 > 17.
22x 1 5 < 9
x ≥ 74 < x
x ≤ 74 > x4 < x < 7
4 ≤ x ≤ 74 < x ≤ 7
5. Multiple Choice Which graph representsthe solution of A
B
C
D
E
6. Multiple Choice Which graph representsthe solution of the inequality or
?A
B
C
D
E None of these
Quantitative Comparison In Exercises 7–9,choose the statement below that is true about thegiven number.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the information given.
7.
8.
9.
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
3x 2 8 ≥ 104x 1 1 < 13
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
23 ≤ 4x 1 1 < 9?
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Column A Column Band
or and
2x2 ≤ 2
3x < 26x > 3x ≤ 142 ≤ x 1 3 ≤ 18
x < 3x ≥ 223 ≤ x < 8
8 < 22x 1 4 ≤ 12
42 Algebra 1Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 353–358
6.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 6
GA QCC: 1, 2, 17, 19,22
GHSGT: 4, 38, 41
1. Multiple Choice Which numbers aresolutions to the absolute-value equation
A B
C D
E
2. Multiple Choice Which numbers aresolutions to the absolute-value equation
A B
C D
E
3. Multiple Choice Which graph represents thesolution of A
B
C
D
E
4. Multiple Choice Which graph represents thesolution of A
B
C
D
E24 2226 0 2 4 6 8 10 12 14
24 2226 0 2 4 6 8 10 12 14
22 0 2 4 6 8 10
22 0 2 4 6 8 10
22 0 2 4 6 8 10
|2x 2 7| 1 3 < 12?
2223242526 21 0 1 2
22 21 0 1 2 3 4 5 6
22 21 0 1 2 3 4 5 6
22 21 0 1 2 3 4 5 6
22 21 0 1 2 3 4 5 6
|3x 2 6| ≥ 9?
10 and 210
83 and 2232
3 and 210
83 and 28
32 and 22
12 1 |3x 2 1| 5 19?
3 and 27
29 and 2139 and 29
9 and 2136 and 210|x 1 2| 2 3 5 8?
5. Multiple Choice Which graph representsthe solution of A
B
C
D
E
6. Multiple Choice Your soccer team averagesbetween 3 and 9 goals per game. Choose theabsolute-value inequality describing the aver-age number of goals per game.
A B
C D
E
Quantitative Comparison In Exercises 7–10,choose the statement below that is true about thegiven number.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
10.
|x 1 3| ≤ 6
|x 2 3| ≤ 3|x 2 6| ≤ 3
|x 2 6| ≤ 9|x 2 3| ≤ 9
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
24 23 22 21 0 1 2 3 4
|5x 2 2| 2 8 ≥ 9?
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Column A Column B
|2x 2 1| 2 1 < 2|4x 2 2| < 6|2x 1 3| < 7|x 2 7| < 2|x| ≤ 1|x 1 2| < 1|x| 5 0|x| 5 6
Algebra 1 43Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 360–366
6.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
GA QCC: 1, 2, 17, 23,24
GHSGT: 4, 41, 42
1. Multiple Choice Which point is a solutionof
A B
C D
E
2. Multiple Choice Which point is a solutionof
A B
C D
E
3. Multiple Choice Which point is not asolution of
A B
C D
E
4. Multiple Choice Choose the inequalitywhose solution is shown in the graph.A
B
C
D
E
5. Multiple Choice Choose the inequalitywhose solution is shown in the graph.A
B
C
D
E y ≤ 23x 1 2
y ≥ 23x 1 2
y > 3x 1 2
y > 23x 1 2
1 323 21
1
21
23
x
yy < 23x 1 2
x 2 1 ≥ 21
y ≥ 21
x ≥ 21
y > 21
1 323
1
3
x
yx > 21
s1, 7d
s24, 21ds0, 3d
(2, 10ds21, 3d11x 2 6 < y?
s23, 24d
s5, 22ds0, 22d
s3, 21ds0, 2d4x 2 8y < 14?
s21, 1d
s2, 21ds22, 22d
s4, 1ds1, 1d3x 2 5y ≥ 8?
6. Multiple Choice Choose the ratio form ofthe direct variation model
A
B
C
D
E
7. Multi-Step Problem You are in charge ofa dinner-dance for school. You have a budgetof $500 for dinners. There are 3 choices ofmeals: a fish dinner for $8.50, a steak dinnerfor $10.50, and a vegetarian dinner for $7.50.Two people order the vegetarian meal.
a. Write an inequality to model thedifferent combinations of fish andsteak dinners that might be purchased.
b. Graph the inequality.
c. If only 20 fish dinners are available, howmany steak dinners can be purchased?
d. Does every point on the graph represent areasonable real-life solution?
y ≥ 23 x 2 1
y ≤ 223 x 1 1
y ≤ 223 x 2 1
y < 23 x 2 1
323 21
1
3
23
x
yy > 23 x 2 1
y 5 kx.
TEST TAKING STRATEGY If you can, check your answer using a different method
than you used originally to avoid making the same mistake twice.
44 Algebra 1Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 368–374
6.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 6
GA QCC: 36
GHSGT: 15, 16, 41
Multiple Choice In Exercises 1–5, refer to thestem-and-leaf plots below.
1. How many males were in their thirties?A 5 B 6 C 7
D 2 E 1
2. What percent of females were older than 20?A 15% B 20% C 60%
D 80% E 85%
3. How many people were exactly forty-oneyears old?A 1 B 2 C 3
D 6 E 9
4. How many males were counted for the plot?A 20 B 45 C 25
D 30 E 55
5. What percent of people counted were under30 years old?A 40% B 32% C 18%
D 36% E 64%
6. Multiple Choice Your class wants to knowthe most typical age of a student in your class.It collects the ages of all students and theteacher. Which measures of central tendencywould give the best typical student age?A mean B median
C mode D mean or median
E median or mode
7. Multiple Choice Your test scores in algebraso far are 78, 85, 72, and 81. If you want toaverage at least an 80, what score do youneed on the next test?A 80 B 84 C 88
D 82 E 90
Quantitative Comparison In Exercises 8–11,choose the statement below that is true about thegiven number.
A The number in column A is greater.B The number in column B is greater.C The two numbers are equal.D The relationship cannot be determined
from the given information.
8.
9.
10.
11.
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip
questions that are too difficult for you, and spend no more than a few minutes on
each question.
Column A Column B
The mean of4, 6, 3, 7, 8
The mean of9, 6, 2, 6, 4
The median of3, 5, 2, 5, 8
The mode of3, 5, 2, 5, 8
The mean of12, 5, 5, 7, 8, 9
The median of3, 4, 7, 10, 12, 14
The median of1, 3, 1, 5, 7, 4
The mode of3, 5, 7, 6, 2
1 0 3 1 6 0
2 2 4 3
3 5 0 1 3 2 2 3
4 5 6 1 1 3 5
5 2 3 1 0
Male ages
1 1 3 0
2 6 3 2 1 3
3 7 0 1 3 0
4 1 2 2
5 5 3 2 2
Female ages
Algebra 1 45Georgia Standardized Test Practice Workbook
Standardized Test PracticeFor use with pages 375–381
6.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
GA QCC: 1, 36
GHSGT: 4, 15, 16, 21
1. Multiple Choice Find the first quartile ofthe collection of numbers: 8, 3, 6, 1, 4, 5, 6,8, 2, 9, 1, 3.A 1 B 2.5 C 4.5
D 7 E 3.5
2. Multiple Choice Find the first quartile of thecollection of numbers: 1, 3, 4, 9, 11, 6, 5, 6.A 3.5 B 7.5 C 5.5
D 6.5 E 10
3. Multiple Choice Find the first quartile of thecollection of numbers: 14, 15, 12, 6, 2, 10, 11,8, 3, 7, 14, 8.A 6.5 B 13 C 9.5
D 9 E 10.5
4. Multiple Choice The third quartile is A the median of the data set.
B the median of the lower half of data.
C the median of the upper half of data.
D the mean of the lower half of data.
E the mean of the upper half of data
5. Multiple Choice Which set of numbers isrepresented by the box-and-whisker plot?
A 6, 24, 1, 8, 2, 14, 3, 11
B 8, 25, 2, 28, 12, 25, 11, 28
C 12, 13, 8, 10, 13, 11, 17, 9, 8, 13
D 6, 14, 10, 8, 11, 15, 17, 7, 26
E 17, 25, 13, 12, 26, 15, 11, 9, 7, 13, 8, 10
7 9.5 12.5 16 26
? .
6. Multiple Choice In the box-and-whiskerplot from Exercise 5, what percent of the dataset fell between 9.5 and 16?A 50% B 25% C 75%
D 66% E 33%
7. Multiple Choice In the box-and-whiskerplot from Exercise 5, what percent of the datafell below 16?A 50% B 25% C 75%
D 66% E 33%
8. Multi-Step Problem A school keeps arecord of drinks purchased from theircafeteria. The data in the table show theaverage daily purchases broken down intojuice and milk purchases.
a. Draw a box-and-whisker plot for the juicepurchases.
b. Draw a box-and-whisker plot for the milkpurchases.
c. What is the median for juice purchases?Milk purchases?
d. Writing How do the data sets differ?
TEST TAKING STRATEGY Go back and check as much of your work as you like.
Juice 25 17 27 21 23 21 16 26Milk 10 16 9 15 18 19 22 11
46 Algebra 1Georgia Standardized Test Practice Workbook
Cumulative Standardized Test PracticeFor use after Chapters 1–6
6CHAPTER
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 6
1. Multiple Choice Evaluate when
A B C
D E
2. Multiple Choice Evaluate the expressionwhen and
A 1 B C 125
D 25 E
3. Multiple Choice Evaluate when
A B C 125
D E 216
4. Multiple Choice What is the value of
A 24 B C
D E
Quantitative Comparison In Exercises 5–7,choose the statement below that is true about thegiven number.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the information given.
5.
6.
7.
224485
134212
3 ? 4 1 62
16 2 32 ? 2?
2125
2542216
x 5 3.s22xd3
2125
21
y 5 22.x 5 3sx 2 yd3
49
187
23
32
117
x 594.2
3 x 8. Multiple Choice Evaluate the expression
A 3 B 9 C 0
D E
9. Multiple Choice Evaluate the expressionwhen
A 13 B 17 C
D E 3
10. Multiple Choice Evaluate the expressionwhen
A B C
D 80 E 44
11. Multiple Choice Find the difference.
____?
A B
C D
E None of these
12. Multiple Choice Simplify the equation
A B
C D
E
13. Multiple Choice Simplify
A B
C D E 30x32125x3245x7
245x3230x2
275x5 43x2
5.
7x2 1 5x
7x2 2 5x9x2 1 5x
7x2 2 2x 2 79x2 2 9x
8x2 2 xsx 2 7d 2 2x.
32527
3
253
2543553
113
23432527
3
113
2343957
259
2543
221
5
36
244 2 3762
283
214 5
278248244
x 5 22.9x 2 s2xd3 1 x
213
23
x 5 28.7 1 x 1 s22d
2923
2|26| 1 3.
Column A Column B
8x 2 3 5 29 18 512 x 1 12
Nine times anumber decreasedby 8 is 19.
Eight times anumber is threesquared plus seven.
when x 5 22y 5 3x2 2 8
when x 5 9y 5 118 2 4x2
Algebra 1 47Georgia Standardized Test Practice Workbook
Cumulative Standardized Test PracticeFor use after Chapters 1–6
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
14. Multiple Choice There are 13 red balls, 20blue balls, 15 green balls, and 5 yellow ballsin a ball pit. What are the odds of randomlychoosing a green ball?
A B C
D E
15. Multiple Choice Find the missing lengths ifthe perimeter is 21.
A 2, 4
B 3, 6
C 5, 10
D 6, 12 E 4, 8
Quantitative Comparison In Exercises16–18, choose the statement below that is trueabout the given number.
A The value of column A is greater.
B The value of column B is greater.
C The two columns are equal.
D The relationship cannot be determinedfrom the information given.
16.
17.
18.
19. Multiple Choice Solve
A 9 B 8 C 7
D 6 E 5
20. Multiple Choice Solve the equation
A 12 B 8 C 22
D E
21. Multiple Choice Solve the equation
A 0 B 2 C
D 1 E no solution
23
14s4x 2 4d 5
15s5x 2 10d.
28222
13s9x 2 15d 2 2 5 2x 1 5.
5x 2 6 5 4x 1 3.
2xx
6
3813
1338
1538
1553
1353
22. Multi-Step Problem Your cable TV company charges $32 a month for basic cable and one premium channel. Additionalpremium channels cost $12 per month.
a. Let x represent the number of premiumchannels you subscribe to. Write anexpression that would model the total costof your cable bill.
b. Your bill came to $56 last month. Howmany premium channels did you order?
c. Critical Thinking If your total bill alsoincludes 6% sales tax, how could you fig-ure out how many premium channels youordered?
23. Multiple Choice Solve the equationRound to the
nearest tenth.
A B 28.6 C 3.8
D 3.9 E
24. Multiple Choice How much money wouldyou have to invest to earn $208 dollars ininterest in 5 years at a rate of 8%?
A $480 B $550 C $630
D $570 E $520
25. Multiple Choice Rewrite the equationso that y is a function of x.
A B
C D
E
26. Multiple Choice Which quadrant of thecoordinate plane would point be in?
A I B II C III
D IV E II or IV
s23, 6d
y 5 22x 1 9
y 5 2x 1 9y 535 x 1 4
y 553 x 1 4y 5 2
53 x 1 4
5x 1 3y 5 12
sHint: I 5 Prtd
23.9
228.6
2.3s21.2x 1 8.2d 5 2.1x.
Column A Column B
12sx 2 4d 5 124x 2 2sx 2 3d 5 17
223 x 5 32212 5
x4
2|27| 1 3x 5 192x 1 |23| 5 17
6CHAPTER
CONTINUED
48 Algebra 1Georgia Standardized Test Practice Workbook
Cumulative Standardized Test PracticeFor use after Chapters 1–6
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 6
27. Multiple Choice Choose the ordered pairthat is a solution of
A B C
D E
28. Multiple Choice What is the equation of theline shown in the graph?
A
B
C
D
E
29. Multiple Choice What is the y-intercept ofthe graph shown in Exercise 28?
A 3 B 5 C
D E 4
30. Multiple Choice Find the slope of the linepassing through the points and
A B C 4
D E
31. Multiple Choice Find the value of y so thatthe line passing through and hasa slope of
A 2 B C
D E
32. Multiple Choice Choose the set of lineswhich are parallel.
A
B
C
D
E y 527 x 1 2y 5
27 x,
y 5 25x 2 6y 515 x 1 2,
y 512 sx 2 2dy 5
12 x 2 1,
y 5 2x 1 3y 5 22x 1 3,
y 532 x 1 6y 5
23 x 1 1,
31222
218253
4
238.
s3, yds25, 1d
26214
1424
s8, 6d.s7, 2d
23
25
5x 2 3y 5 215
5x 1 3y 5 15
5x 2 3y 5 15
25x 1 3y 5 215
y
x3 5121
3
5
1
21
25x 1 3y 5 15
s22, 28ds2, 21ds8, 6ds2, 1ds24, 22d
3x 2 2y 5 8.Quantitative Comparison In Exercises 33–36,choose the statement below that is true about thegiven quantity.
A The value of column A is greater.
B The value of column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the information given.
33.
34.
35.
36.
37. Multiple Choice What is the equation ofthe line that passes through the point and has a slope of
A B
C D
E
38. Multiple Choice What is the slope of theline perpendicular to the line
A B C
D E
39. Multiple Choice Which equation in point-slope form passes through the point and has a slope of
A
B
C
D
E y 2 2 5 22sx 1 5dy 2 2 5 22sx 2 5dy 5 22x 1 8
y 1 2 5 22sx 2 5dy 5 22x 2 12
22?s5, 22d
21
10252
522
25
25
y 525 x 1 10?
y 512 x 1 6
y 512 x 2 3y 5
12 x 2 6
y 512 x 1 5y 5
12 x 2 5
12?
(2, 24d
Column A Column B
The constant ofvariation iny 5 23x
The constant ofvariation iny 5
12 x
The slope ofy 5 13x 1 6
The slope ofy 5 6x 1 13
The y-interceptof y 5 23x 1
12
The y-intercept of y 5
13 x 1
12
when x 5 23f sxd 5 22x 1
12
when x 5 6f sxd 5
23 x 2 1
6CHAPTER
CONTINUED
Algebra 1 49Georgia Standardized Test Practice Workbook
Cumulative Standardized Test PracticeFor use after Chapters 1–6
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 6
40. Multiple Choice Find the standard form ofthe equation of the line that passes throughthe points and
A B
C D
E
41. Multi-Step Problem The table shows theaverage cost of a large, one-item pizza.
a. Draw a scatter plot of the price of a pizzain terms of the year t. Let t be the numberof years since 1990.
b. Write a linear model that best fits the data.
c. Use the model to predict the price of apizza in 1995. Was this linear interpolationor extrapolation?
d. Use the model to predict the price in 2002.
42. Multiple Choice Which graph representsthe solution of
A
B
C
D
E
43. Multiple Choice Which inequality is equiv-alent to
A B C
D E x ≤ 11x ≥ 11
x ≥ 1x ≥ 21x ≤ 1
x 2 5 ≤ 2x 2 6?
24 23 22 21 0 1 2 3
24 23 22 21 0 1 2 3
24 23 22 21 0 1 2 3
24 23 22 21 0 1 2 3
24 23 22 21 0 1 2 3
22x 1 3 ≥ 7?
y 574 x 2 5
7x 2 4y 5 25y 574 x 2
14
7x 2 4y 5 17x 2 4y 5 4
s21, 22d.s3, 5d
44. Multiple Choice Choose the solution of theinequality
A B
C D
E
45. Multiple Choice Which numbers aresolutions of the absolute-value equation
A B
C D
E
46. Multiple Choice Which point is not asolution of
A B C
D E
47. Multiple Choice What is the mean of 13, 5,22, 7, 18, 11 and 12?
A 12.1 B 12.9 C 11.9
D 12.6 E 13.6
48. Multiple Choice What is the median of 13,5, 22, 7, 18, 11 and 12?
A 7 B 11.5 C 13
D 12.5 E 12
49. Multiple Choice Find the first quartile of thecollection of numbers: 6, 8, 4, 10, 9, 7, 8, 7.
A 6.5 B 7.5 C 8.5
D 6 E 9.5
s21, 1ds22, 3ds3, 2ds2, 1d(1, 6d
y ≥ 3x 2 5?
25 and 23
7 and 85 and 23
29 and 79 and 27|x 2 1| 2 2 5 6?
32 < x ≤ 7
32 < x ≤ 9
292 > x ≥ 7
92 < x ≤ 73
2 > x ≥ 7
6 < 2x 2 3 ≤ 11.
Year 1990 1992 1994 1996 1998Cost $5.60 $6.20 $6.80 $7.50 $8.30
6CHAPTER
CONTINUED
50 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 7
Standardized Test PracticeFor use with pages 398–403
7.1LESSON
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
1. Multiple Choice Which point represents thesolution of the system of linear equations?
A B C
D E
2. Multiple Choice Which point represents thesolution of the system of linear equations?
A B C
D E
3. Multiple Choice What is the solution of thesystem of linear equations?
A B
C D
E
4. Multiple Choice What is the solution of thesystem of linear equations?
A B
C D
E s3, 0d
s23, 1ds3, 21d
s23, 21ds3, 1d
y 523x 2 3y 5 2
23x 1 1
s0, 22d
s4, 25ds24, 5d
s24, 25ds4, 5d
y 534x 2 2y 5
32x 1 1
s0, 2ds0, 22d
s2, 1ds2, 0ds1, 2d
3x 2 2y 5 4
y
x321
1
3
21
y 5 212x 1 2
s13, 27
3ds1, 3d
s23, 25
3ds0, 22ds0, 23d
y 5 2x 2 2
y
x31
1
23
23
y 5 2x 2 3
5. Multiple Choice If and
A 1 B 2 C 3
D 4 E 5
6. Multiple Choice Riding the bus to and fromwork costs you $5.50 round trip. You arethinking about buying a used car for $2500.Gas and maintenance will cost you about$.50 per trip. How many trips to work will ittake to break even?
A 510 B 417 C 450
D 500 E 525
7. Multiple Choice If and
A 2 B 1 C 6
D 3 E
Quantitative Comparison In Exercises 8–10,solve the linear system. Then choose the state-ment below that is true about the solution of thesystem.
A The value of x is greater than the valueof y.
B The value of y is greater than the valueof x.
C The values of x and y are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10. x 5 21y 512x 2 4
y 5 232x 1 13x 1 2y 5 14
y 5 232x 1 1y 5
12x 2 4
21
4x 2 7y 5 15, then x 1 y 5 ? .y 5
12x 2 2
4x 2 y 5 3, then x 5 ? .y 5 2x 1 5
GA QCC: 1, 2, 5, 6, 19,20
GHSGT: 4, 44
Algebra 1 51Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 7
Standardized Test PracticeFor use with pages 405–410
7.2LESSON
1. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear questions.
A B
C D
E
2. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear equations.
A B
C D
E
3. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear equations.
A B
C D
E
4. Multiple Choice Which point lies on thegraph of the system?
A B
C D
E
5. Multiple Choice Which point lies on thegraph of the system?
A B
C D
E s6, 3d
s8, 21ds5, 24d
s23, 6ds6, 23dx 1 2y 5 0y 5 x 2 9
s0, 4d
s22, 1ds4, 7d
s5, 3ds3, 5dx 2 y 5 24x 1 y 5 23
s0, 4d
s22, 1ds22, 5d
s1, 4ds4, 0d23x 1 2y 5 83x 1 4y 5 16
s210, 1d
s2225 , 226
5 ds2, 24d
s24, 2ds22, 22d2x 2 y 5 8x 1 2y 5 26
s3, 5d
s21, 27ds22, 26d
s2, 6ds1, 7dy 5 3xx 1 y 5 8
6. Multiple Choice The ordered pair is a solution of which system of equations?
A B
C D
E
7. Multiple Choice If and
A 5 B 4 C 6
D 8 E 9
Quantitative Comparison In Exercises 8–10,solve the linear system. Then choose the statement below that is true about the solution of the system.
A The value of x is greater than the valueof y.
B The value of y is greater than the valueof x.
C The values of x and y are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
7x 2 y 5 213
3y 5 2x 1 1
y 512x 1 2
5x 1 2y 5 28
24x 2 3y 5 29
3x 1 y 5 8
x 2 2y 5 24, then xy 5 ? .5x 2 3y 5 1
4x 2 2y 5 8
y 5 2x 2 2
2x 2 y 5 2x 2 y 5 22
2x 1 y 5 47x 1 3y 5 18
y 545x 2 10x 2 y 5 14
x 2 2y 5 223x 1 2y 5 4
s6, 28d
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
GA QCC: 1, 2, 17, 20,21
GHSGT: 4, 44
52 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 7
Standardized Test PracticeFor use with pages 411–417
7.3LESSON
1. Multiple Choice Order the steps below tosolve the system of equations using linearcombinations.
Equation 1
Equation 2
I. Substitute the known variable into eitherof the original equations. Solve for theremaining unknown variable.
II. Multiply Equation 1 by 3 and Equation 2by 2.
III. Multiply Equation 1 by 3 and Equation 2by
IV. Arrange the equations with like terms incolumns.
V. Add the equations, combine like terms toeliminate one variable, and solve for theremaining variable.
A I, II, III, IV B IV, II, V, I
C II, IV, I, V D IV, III, V, I
E II, IV, I, V
2. Multiple Choice Solve the system of linearequations using linear combinations.
A B C
D E
3. Multiple Choice If and
A 6 B 8 C 7
D 5 E 3
4. Multiple Choice If and
A 12 B 25 C 27
D 18 E 14
y 523x 1 7, then xy 5 ? .
2y 2 3 5 5x
24x 1 3y 5 25, then x 1 y 5 ? .3x 1 2y 5 8
s7, 23ds4, 2d
s2, 5ds24, 22ds6, 21d
22x 1 3y 5 22
5x 1 3y 5 26
22.
4y 2 3x 5 16
2x 1 5y 5 7
5. Multiple Choice Two hunters start fromdifferent points in the woods and hiketowards their campsite. The first huntertravels a trail along the line The second hunter’s trail follows the line
They meet at the campsite.What are the coordinates of the site?
A B
C D
E
6. Multi-Step Problem A fish swims 12 milesdownstream in 2 hours. The fish swims backupstream to the same point, but the trip takes3 hours. Assume the speed of the current wasconstant and the fish swam along the samepath.
a. Write a system of linear equations todescribe the situation.
b. Determine the speed of the fish in stillwater.
c. Determine the speed of the current.
d. Writing If the speed of the current wasnot constant, could you still calculate thespeed of the fish in still water?
s21207 , 48
7 ds214, 5ds213, 2ds230
7 , 1087 ds2108
7 , 307 d
3y 5 22x 2 18.
2y 2 x 5 24.
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
GA QCC: 1, 19, 20, 21
GHSGT: 4, 44
Algebra 1 53Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 7
Standardized Test PracticeFor use with pages 418–424
7.4LESSON
1. Multiple Choice Your class is selling wrapping paper and candles for a fund raiser.Rolls of wrapping paper sell for $5 and candles sell for $4 each. A total of 526 itemswere sold and $2327 was raised. How manyof each item was sold?A 220 rolls, 306 candles
B 223 rolls, 303 candles
C 326 rolls, 200 candles
D 200 rolls, 326 candles
E 215 rolls, 311 candles
2. Multiple Choice The manual for your boatengine calls for 91 octane gas. The gasstations by your house only sell 87 and 93octane. If the boat’s tank holds 30 gallons,how many gallons of each should you buy fora 91 octane mix?A 15 gallons of 87 and 15 gallons of 93.
B 12 gallons of 87 and 18 gallons of 93.
C 10 gallons of 87 and 20 gallons of 93.
D 20 gallons of 87 and 10 gallons of 93.
E 18 gallons of 87 and 12 gallons of 93.
3. Multiple Choice You went snow skiing for6 hours. You skied at an average rate of 30miles per hour and the ski lift took you backup the hill at a rate of 10 miles per hour. Ifyour overall average rate was 23 miles perhour, how many hours did you actually spendskiing?
A 4 B 3.5 C 3.9D 3.1 E 4.5
4. Multiple Choice You are taking a test worth130 points. There are a total of 50 five-pointand two-point questions. How many five-point questions are on the test?
A 15 B 5 C 20
D 12 E 10
5. Multiple Choice At what point do the linesand intersect?
A B
C D E
6. Multiple Choice A school has two soccerseasons. There are currently 30 students playing on the spring team and participationis increasing by 2 students per year. There arecurrently 19 students playing on the fall teamand this is increasing by 3 students per year.When will the teams be the same size?
A 12 years B 14 years
C 10 years D 11 years
E 8 years
Quantitative Comparison In Exercises 7–9,solve the linear system. Then choose the statement below that is true about the solution of the system.
A The value of x is greater than the valueof y.
B The value of y is greater than the valueof x.
C The values of x and y are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
3x 1 5y 5 34
8y 2 3x 5 31
y 532 x 2 1
3y 5 10x 2 14
223 x 2
12 y 5 21
2x 1 5y 5 216
(2, 4ds2, 5ds3033, 21
33ds1, 4ds8, 9d
y 5 232 x 1 812x 2 3y 5 9
TEST TAKING STRATEGY Go back and check as much of your work as you can.
GA QCC: 1, 17, 20, 21
GHSGT: 4, 5, 40, 44
54 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 7
1. Multiple Choice How many solutions doesthe linear system have?
A None B Exactly one
C Two D Infinitely Many
E Cannot be determined
2. Multiple Choice How many solutions doesthe linear system have?
A None B Exactly one
C Two D Infinitely Many
E Cannot be determined
3. Multiple Choice How many solutions doesthe linear system have?
A None B Exactly one
C Two D Infinitely Many
E Cannot be determined
4. Multiple Choice What is the solution of thesystem of linear equations?
A B C
D None E Cannot be determined
s2.5d(4, 10ds24, 210d2x 1 y 5 18
y 512 x 1 8
y 5 3x 2 9
6x 2 2y 5 14
y 5 22
x 5 3
6x 2 4y 5 16
y 532 x 1 8
5. Multiple Choice What is the solution of thesystem of linear equations?
A B
C D None
E Infinitely many
6. Multiple Choice How many solutions doesthe graph below have?
A None
B Exactly one
C Two
D Infinitely Many
E Cannot bedetermined
Quantitative Comparison In Exercises 7–9,solve the linear system. Then choose the state-ment below that is true about the solution of thesystem.
A The number of solutions in column A isgreater.
B The number of solutions in column B isgreater.
C The number of solutions are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
y
x121
1
3
23
23
s0, 28ds4, 2ds2, 23d
y 552 x 2 10
5x 2 2y 5 16
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip ques-
tions that are too difficult for you and spend no more than a few minutes on each
question.
Standardized Test PracticeFor use with pages 426–431
7.5LESSON
Column A Column B
2x 1 2y 5 4y 5
12 x 1 2
3x 1 4y 5 16x 1 y 5 7
y 5 3x 2 2y 5 3x 1 6
y 532 x 1 6
23x 1 2y 5 2
y 5 275x 5 10
14x 2 24 5 24y7x 1 2y 5 12
GA QCC: 1, 2, 16, 20,21
GHSGT: 4, 29, 43, 44
Algebra 1 55Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 7
1. Multiple Choice Choose the system of linearequalities shown in the graph.
A B
C D
E None of these
2. Multiple Choice Choose the system of linearequalities shown in the graph.
A B
C D
E None of these
3. Multiple Choice Which point is a solutionof the system of linear inequalities?
A B C
D E s24, 2ds22, 3ds1, 2ds22, 23d(0, 0d
y < 223 x 2 1
y ≤ 12 x 1 2
y ≥ 3x 2 1y ≥ 13 x 2 1
y ≤ 3x 1 2y ≥ 13 x 1 2
y ≤ 3x 2 1y ≤ 3x 2 1
y ≥ 3x 1 2y ≥ 3x 1 2
y
x3121
3
23
y ≥ 223 x 1 3y ≤ 2
23 x 1 3
y < 32 x 2 2y > 3
2 x 2 2
y ≥ 223 x 1 3y ≤ 2
23 x 1 3
y > 32 x 2 2y < 3
2 x 2 2
y
x321
1
21
4. Multiple Choice Choose the system of linearequalities shown in the graph.
A B
C D
E None of these
5. Multiple Choice Which point is a solutionof the system of linear inequalities?
A B C
D E
6. Multi-Step Problem During the summeryou take two part-time jobs. The first pays$5 an hour. The second pays $8 an hour. Youwant to earn at least $150 a week and work25 hours or less a week.
a. Write a system of inequalities that modelthe hours you can work at each job.
b. Graph the system.
c. List two alternatives for dividing yourtime between jobs.
s22, 22ds23, 28ds2, 0ds0, 3d(1, 23d
y ≥ 2x
y < x 1 1
y ≤ 32 x 2 1y ≥ 3
2 x 2 1
y ≥ 23y ≤ 23
x < 3x < 3
y ≤ 32 x 2 1y ≤ 3
2 x 2 1
y ≤ 23y ≥ 23
x < 3x > 3
y
x5121
1
3
21
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 432–438
7.6LESSON
GA QCC: 1, 2, 20, 21,23, 24
GHSGT: 4, 29, 40, 44
56 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 8
1. Multiple Choice How many factors are inthe expression
A 5 B 9 C 3
D 2 E 1
2. Multiple Choice In the expression the 7is called the
A factor B base
C exponent D product
E term
3. Multiple Choice Simplify Write theanswer as a power.
A B C
D E
4. Multiple Choice Simplify Write theanswer as a power.
A B C
D E
5. Multiple Choice Simplify Writethe answer as a power.
A B
C D
E
6. Multiple Choice Evaluate when
A 256 B 4096 C 16
D 144 E 128
7. Multiple Choice Evaluate when
A 19,683 B 6561
C D
E 259,049
26561219,683
x 5 23.2sx3d2s3x2d
a 5 2.sa2 ? a4d2
81x5y6
212x5y812x4y8
281x4y881x4y8
s23xy2d4.
51459
552514259
s52d7.
161548
41516888
43 ? 45.
? .x7,
53 ? 56?8. Multiple Choice The volume of a cylinder
is given by , where r is the radius,h is the height and is approximately 3.14.What is the volume of the cylinder in termsof x?A
B
C
D
E
Quantitative Comparison In Exercises 9–12,simplify each expression. Then choose thestatement below that is true about the givennumber.
A The number in column A is greater.
B The number column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedwith the given information.
9.
10.
11.
12.
887.4x4
282.6x4
94.2x4
282.6x23x2
h =10
94.2x2
p
V 5 pr2h
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 450–455
8.1LESSON
Column A Column B
x7 ? x5 sx7d5
s2x2d3 s4x2ds2x4dwhen
x 5 23s3xd2sx3d when
x 5 22s7x2d3
whenand b 5 21a 5 2
sab2dsx3d whenand b 5 22a 5 1
sb2d3sabd
GA QCC: 1, 2, 3, 9, 11
GHSGT: 3, 4, 10, 33, 34
Algebra 1 57Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 8
8. Multiple Choice Choose the equation of thecurve shown.
A
B
C
D
E
9. Multiple Choice Choose the equation of thecurve shown.
A
B
C
D
E
10. Multi-Step Problem You started a savingsaccount in 1996. The balance y is modeled bythe equation where represents the year 2000.
a. What is the balance in 1996?
b. What is the balance in 2000?
c. What is the balance in 2002?
t 5 0y 5 500s1.08dt,
y 5 s25dx
y 5 s15d2x
y 5 s13d2x
y 5 52x
y
x3121
3
5
1
2123
y 5 32x
y 5 s13dx
y 5 s12dx
y 5 3x
y 5 2x
y
x3121
3
1
21
23
23
y 5 s21dx
1. Multiple Choice Evaluate
A 10 B C
D E
2. Multiple Choice Evaluate
A B C 2
D 4 E
3. Multiple Choice Evaluate
A 243 B C
D 6561 E
4. Multiple Choice Rewrite with positive exponents.
A B C
D E
5. Multiple Choice Rewrite with a positive exponent.
A B C
D E
6. Multiple Choice Evaluate
A 81 B 1 C
D 0 E
7. Multiple Choice Rewrite with positive exponents.
A B C
D E25y5
26y5
26xy5
26xy5
26xy7
s23x3y26ds2x23yd
281
21
s23d2s23d22.
6x2y
6y3
x2
6y23
x2
5yx2
6yx2
s2x22yds3y22d
18x3y49xy2
9xy2
18xy2
18xy2
s3x22yds6xy23d
16561
22431243
s33d24s37d.
22
12
14
222 ? 24 ? 223.
21
251
10
125225
s523d1 15252s524d.
TEST TAKING STRATEGY Learn as much as you can about the test ahead of time,
such as types of questions and the topics the test will cover.
Standardized Test PracticeFor use with pages 456–461
8.2LESSON
GA QCC: 1, 2, 3, 9, 11,20
GHSGT: 4, 33
58 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 8
1. Multiple Choice Evaluate
A B 27 C 9
D E
2. Multiple Choice Evaluate
A B 0 C 3
D E 1
3. Multiple Choice Evaluate
A B C
D E
4. Multiple Choice Evaluate
A B C
D E
5. Multiple Choice Simplify
A B C
D E
6. Multiple Choice Simplify
A B C
D E
7. Multiple Choice Which expression simplifies to
A B C
D Ex29y2
x27y2
x27y2
x29y2
3x23
3x5
5x5y5x24y
x5
x23
x2?
6y46xy4
6x4
y46x4y56x2y4
5xy0
2y3 ?12x2y7
5x.
94
x2y39x2y2
8
9y2
4x9y3
8x2
9y3
4x2
3x5y2xy2 ?
6xy4
4x7 .
22764
6427
2764
1292
912
s34d23.
452
425
425
4102
254
12252
2
.
23
21
235
s23d5.
22719
127
37
34. 8. Multiple Choice Simplify
A B C
D E
9. Multiple Choice Simplify
A B C
D E
10. Multiple Choice You roll a die three times.What is the probability that you will roll a five every time?
A B C
D E
Quantitative Comparison In Exercises 11–13,simplify the expression using and Then choose the statement below that is true aboutthe given number.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
11.
12.
13.
y 5 2.x 5 21
s18d3s1
3d6
53s16d3s1
3d5
29xy
29
x2y
29
xy34
x10y9x2
8y
sx2yd3
2xy2 ? 13x4y2
2xy 222
.
5y2
x5yx
5xy5x5x
15x3y3y2 22
? 132xy3
5x8 2.
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
Standardized Test PracticeFor use with pages 463–469
8.3LESSON
Column A Column B
xy
s3y3x2yds6yxd s5yx3d ? xy
yx
s5xds5yx2d s12dx
GA QCC: 1, 3, 9, 11, 20
GHSGT: 3, 4, 10, 33
Algebra 1 59Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 8
1. Multiple Choice Rewrite in decimal form.
A 54,000 B 540,000
C 0.000054 D 0.00054
E 5400
2. Multiple Choice Rewrite in decimal form.
A 0.00000082 B 0.000082
C 8,200,000 D 0.0000082
E 820,000
3. Multiple Choice Rewrite 0.00000036 in scientific notation.
A B
C D
E
4. Multiple Choice Which of the followingnumbers is not written in scientific notation?
A B
C D
E
5. Multiple Choice Evaluate the productWrite the result in
scientific notation.
A B
C D
E
6. Multiple Choice Evaluate
A B
C D
E 8.1 3 10213
8.1 3 102128.1 3 10211
9 3 102128.1 3 1027
s3.0 3 1023d4.
4.392 3 1022
4.392 3 1024.392 3 103
4.392 3 102343.92 3 1022
s7.2 3 105d ? s6.1 3 1028d.
1.408 3 1022
76.02 3 1098 3 105
3.72 3 10271.2 3 108
3.6 3 1028
3.6 3 10263.6 3 106
3.6 3 10273.6 3 107
8.2 3 1026
5.4 3 104
7. Multiple Choice Evaluate
A B
C D
E
8. Multiple Choice An astronomer measuredthe speed of a comet at 150,000 miles perhour. Write the number in scientific notation.
A B
C D
E
9. Multiple Choice Evaluate Write
the result in scientific notation.
A B
C D
E
Quantitative Comparison In Exercises 10–12,choose the statement below that is true about thegiven value.
A The value in column A is greater.
B The value column B is greater.
C The two values are equal.
D The relationship cannot be determinedwith the given information.
10.
11.
12.
2 3 1014
1 3 10241 3 10214
2 3 10242 3 10214
s0.002d3
400,000.
1.5 3 1024
1.5 3 10251.5 3 105
1.5 3 10261.5 3 106
7 3 1022
8.4 3 10228.4 3 102
8 3 1027 3 1010
s9.6 3 1024ds1.2 3 1026d.
Standardized Test PracticeFor use with pages 470–475
8.4LESSON
Column A Column B
8.6 3 106
s3.2 3 105ds8.6 3 107d s2 3 105d2
s1 3 1023d
8.6 3 1026
s2.3 3 1025d2 4.84 3 1024
8.8 3 103
TEST TAKING STRATEGY As soon as the testing begins, start working. Keep moving
and stay focused on the test.
GA QCC: 1, 2, 3, 9, 11,20
GHSGT: 3, 4, 29, 33
60 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 8
1. Multiple Choice In the modelis the
A time period B initial amount
C growth factor D growth rate
E percent increase
2. Multiple Choice You deposit $1500 into a savings account that pays 6% interest compounded yearly. How much money is inthe account after 10 years assuming you madeno additional deposits or withdrawals?
A $1590 B $2400
C $2657.34 D $2686.27
E $3890.61
3. Multiple Choice You deposit $750 into asavings account that pays 8% interest com-pounded yearly. How much money is in theaccount after 7 years assuming no additionaldeposits or withdrawals were made?
A $1170 B $1285.37
C $1204.34 D $1388.20
E $1560
4. Multiple Choice Which model best represents the growth curve shown in thegraph?
A
B
C
D
E y 5 50s1.1d2t
y 5 50s1.1dt
y 5 25s0.9dt
y 5 25s1.5dt
y
t3 5121
75
125
25
225
y 5 25s1.5d2t
? .s1 1 rdy 5 cs1 1 rdt,5. Multiple Choice A wildlife management
group releases 12 elk in a re-introduction program area. The population is expected toincrease by 25% each year for the next 5 years. What is the estimated elk populationafter 5 years. (Round down to the nearestwhole number.)
A 27 B 37 C 36
D 15 E 38
6. Multiple Choice You start a new job at apay rate of $6 per hour. You expect a raise of4% each year. After 6 raises, how much willyou be earning per hour?
A $7.44 B $7.02 C $7.57
D $7.59 E $8.51
7. Multi-Step Problem You bought a piece of land for $50,000 in 1998 in an area ofrapidly increasing population growth. Youexpect the land to increase in value 15% eachyear for the next 10 years.
a. Write an exponential growth model for thesituation.
b. Estimate the value of the land in 2005.(Round to the nearest dollar.)
c. Estimate the value of the land in 1996.(Round to the nearest dollar.)
d. Writing If the population growth beginsto level off, what might happen to thevalue of the land?
TEST TAKING STRATEGY Think positive during a test. This will keep up your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 477–482
8.5LESSON
GA QCC: 1, 5, 20, 21,28
GHSGT: 4, 5, 12, 13, 14,34, 35, 38, 44
Algebra 1 61Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 8
1. Multiple Choice In an exponential decayfunction, the decay factor is always
A greater than zero
B less than zero
C greater than one
D less than one
E A and D
2. Multiple Choice Which model is an exponential decay model?
A B
C D
E
3. Multiple Choice Which model best repre-sents the decay curve shown in the graph?
A
B
C
D
E
4. Multiple Choice You buy a new laptopcomputer for $3500 in 1998. The computerdepreciates at the rate of 18% per year. Whatis its value in 2001?
A $1929.79 B $1890
C $1610 D $4130
E $2870
y 5 100s0.76d2t
y 5 100s1.32dt
y 5 100s0.76dt
y 5 50s0.76dt
y
t3 5121
75
25
225
y 5 50s0.76d2t
y 5 50 2 3s1.1dt
y 5 5 2 3ty 5 7s0.9dt
y 5 5s1.2dty 5 5x 1 6
? .5. Multiple Choice You are in your state’s
high school tennis championship tournament.At the start of the event there are 128participants, and each round eliminates halfof the players. How many players remainafter round 3?
A 64 B 32 C 16
D 8 E 4
6. Multiple Choice You have a large oak treein your yard. If the tree has 10,000 leaves atthe beginning of autumn, and loses 7% eachday until all the leaves are off, how manyleaves remain on the tree after 1 week of leaf loss?
A 4900 B 9300
C 6957 D 6017
E 5000
Quantitative Comparison In Exercises 7–9,evaluate each function. Then choose the statementbelow that is true about the given values of y.
A The value of y in column A is greater.
B The value of y column B is greater.
C The two values of y are equal.
D The relationship cannot be determinedwith the given information.
7.
8.
9.
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip
questions that are too difficult for you, and spend no more than a few minutes on
each question.
Standardized Test PracticeFor use with pages 484–491
8.6LESSON
Column A Column B
y 5 17s25dt
y 5 14s12dt
t 5 2
y 5 5.6s1.5d2ty 5 5.6s23dt
t 5 21
y 5 26s1.2dty 5 26s0.8d2tt 5 1
GA QCC: 1, 2, 5, 28
GHSGT: 4, 5, 11, 12, 13,14, 34, 35, 38
GA QCC: 1, 2, 3, 30
GHSGT: 4, 6, 9, 33
62 Algebra 1Georgia Standardized Test Practice Workbook
9.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 9
Multiple Choice In Exercises 1–4, evaluate theexpression, rounding to the nearest hundredthwhen necessary.
1.
A B C
D E No square roots
2.
A B C
D E No square roots
3.
A B C
D E No square roots
4.
A B C
D E No square roots
5. Multiple Choice Evaluate whenand
A B C
D E Undefined
6. Multiple Choice Evaluate whenand
A B C
D E Undefined
7. Multiple Choice Evaluate whenand
A B C
D E Undefined9.4
8.89.89.0
c 5 23.b 5 26,a 5 5,!b2 2 4ac
2.89
3.1623.464.47
c 5 22.b 5 22,a 5 2,!b2 2 4ac
25.3
5.324.84.8
c 5 4.b 5 23,a 5 2,!b2 2 4ac
±1.12
1.2±1.111.11
±!1.25
20.55
25020.15
2!0.3
212.5
2505, 25
!225
0.9, 20.9
0.920.99, 29
±!0.81
8. Multiple Choice An object is dropped froma height of 350 feet. To the nearest hundredthof a second, about how long does it take theobject to hit the ground? Assume there is noair resistance.
A 5.92 sec B 18.28 sec
C 4.68 sec D 1.91 sec
E 4.83 sec
9. Multiple Choice The sales S (in dollars) ofcamping equipment at a small store can bemodeled by where t isthe number of years since 1990. Estimate theyear in which the store’s sales of campingequipment will be $12,800.
A 2001 B 2005 C 1998
D 1999 E 2003
Quantitative Comparison In Exercises 10–13,solve the quadratic equation. Then choose thestatement that is true about the positive value ofx in each solution.
A The positive value of x in column A isgreater.
B The positive value of x in column B isgreater.
C The positive values of x are equal.
D The relationship cannot be determinedfrom the given information.
10.
11.
12.
13.
S 5 52.6t2 1 6500,
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Standardized Test PracticeFor use with pages 503–510
Column A Column B
3x2 2 17 5 235x2 2 18 5 0
2x2 2 7 5 913x2 2 25 5 2
2x2 5 1282x2 1 72 5 0
7x2 5 1755x2 2 125 5 0
GA QCC: 1, 3, 9, 11, 30,31
GHSGT: 3, 4, 33
Algebra 1 63Georgia Standardized Test Practice Workbook
9.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 9
1. Multiple Choice Which one of the follow-ing is the simplified form of
A B C
D E
2. Multiple Choice Which one of the follow-ing is the simplified form of
A B C
D E
3. Multiple Choice Which one of the follow-
ing is the simplified form of
A B
C D
E
4. Multiple Choice Which one of the follow-
ing is the simplified form of
A B C
D E
5. Multiple Choice Solve writing the answer as a simplified radicalexpression.
A B C
D E ±7!5
5±
5!77
±5!7
±7!5±3.57
7x2 2 9 5 16,
2!56!5
62!15
32!3
!30!183!5
?
2103 !15
215!60253!20
25!203215!15
25!20 ?!10!30
?
3!5012!2
5!223!155
3!18
13!450?
4!128!3
4!33!83!4
!192?
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 511–516
6. Multiple Choice Find the area of the trian-gle using the formula
A
B
C
D
E
7. Multiple Choice Find the area of a square
whose side measures
A
B
C
D
E
Quantitative Comparison In Exercises 8–11,perform the indicated operation and simplify theresult. Then choose the statement below that istrue about the given numbers.
A The number in column A is greater.
B The number in column B is greater.
C The numbers are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
11.
925
325
9!5
25!3
35
125!3
!35
.
3!5
5!3
132 !2
15!3 15
3 20
3!15
A 512bh.
Column A Column B
!6 ? !212 !724
4!54
2!3 ? !27
212!18 ? 1
3!12
18!29
3!3!25
? 2!75
23!6 ? 23!18
GA QCC: 1, 2, 3, 9, 11,17
GHSGT: 4, 9
64 Algebra 1Georgia Standardized Test Practice Workbook
9.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 9
1. Multiple Choice The graph ofis a parabola whose vertex
has an x-coordinate of
A B C
D E
2. Multiple Choice What is the x-coordinate ofthe vertex for the graph of the equation
A B C
D E
3. Multiple Choice What is the x-coordinate ofthe vertex for the graph of the equation
A B C
D E
4. Multiple Choice What is the equation forthe axis of symmetry for the equation
A B C
D E
5. Multiple Choice What is the y-coordinate ofthe vertex for the graph of the equation
A B C
D E
6. Multiple Choice Which one of the follow-ing is the solution of when
A B
C D
E y 5 25
y 5 5y 5 221
y 5 22y 5 21
x 5 22?22x2 1 11x 1 9 5 y
247851
4
414261
4214
y 5 22x2 1 x 2 5?
x 534x 5 3
x 513y 5 3y 5
13
y 5 6x2 2 4x 1 3?
25422
102100
y 514 x2 1 5x 2 10?
018
218222
y 5 2x2 1 4x 2 6?
a2b
2b2a
2a2b
b2a
22ab
? .y 5 ax2 1 bx 1 c
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 518–524
7. Multiple Choice Which of the followingquadratic equations is represented by thegraph?
A
B
C
D
E
Quantitative Comparison In Exercises 8–11,find the vertex of the equation. Then choose thestatement below that is true about the given values.
A The value of x is greater.
B The value of y is greater.
C The values of x and y are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
11. y 5 3x2 1 2x 1 1
y 5 x2 2 2x 1 2
y 5 3x2 2 10x
y 5 x2 2 16
y 512 x2 1 3x 2 4
y 5 212 x2 2 3x 2 4
y 5 2x2 2 3x 2 4
y 512 x2 2 3x 2 4
y 5 22x2 2 3x 2 4
y
x121
3
1
212325
GA QCC: 1, 2, 3, 20, 35
GHSGT: 4
Algebra 1 65Georgia Standardized Test Practice Workbook
9.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 9
Quantitative Comparison In Exercises 6–9,solve for the required information. Then choosethe statement below that is true about the giveninformation.
A The value of A is greater.
B The value of B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
6.
7.
8.
9.
10. Multiple Choice Choose the equation of theparabola shown in the graph below.
A
B
C
D
E
11. Multiple Choice Which one of the follow-ing is a solution of
A 0 B C
D E 424
23125
x2 2 x 2 14 5 6?
y 519 x2 2 1
y 5 9x2 1 1
y 519 x2 2 9
y 5 9x2 1 1
y
x3121
3
1
23
23
y 5 9x2 2 1
TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such
as the types of questions and the topics that the test will cover.
Standardized Test PracticeFor use with pages 526–531
1. Multiple Choice Use the graph to determinethe roots of the equation.
A 3 and
B 1 and 4
C and 3
D and 3
E 4 and
2. Multiple Choice What are the x-interceptsof the graph of
A 6 and B and 3
C 9 and 2 D and 2
E 4 and 1
3. Multiple Choice What are the x-interceptsof the graph of
A 3 and 2 B and 2
C and D and
E and
4. Multiple Choice What are the solutions of
A 3 and 2 B and 2
C and 2 D and
E and 0
5. Multiple Choice Which one of thefollowing is the solution of
A 0 B 5 C 10
D E 25220
15 x2 5 5?
23
12
13
13
23
x2 1 x 2 6 5 0?
212
13
2122
13
122
13
23
y 5 6x2 2 x 2 1?
29
2623
y 5 x2 2 3x 2 18?
23
12
212
y
x5121
3
1
21
23
23
Column A Column B
The value of xfor the vertex ofx2 2 4x 2 5 5 y
The value of yfor the vertex ofx2 2 4x 2 5 5 y
The value of x for thevertex of 12 x2 5 8
The sum of the rootsof 12 x2 5 8
The sum of the rootsof x2 2 x 2 2 5 0
The sum of the rootsof x2 1 2x 5 15
The value of xfor the vertex of23x2 1 15x 2 5 5 1
The sum ofthe roots of2x2 2 5x 2 3 5 0
GA QCC: 1, 2, 35
GHSGT: 4, 35
66 Algebra 1Georgia Standardized Test Practice Workbook
9.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 9
1. Multiple Choice Choose the correct form ofthe quadratic formula.
A
B
C
D
E
2. Multiple Choice Choose the correct valuesof a, b, and c in the equation
A
B
C
D
E
3. Multiple Choice What are the x-interceptsof the graph of
A B C
D E
4. Multiple Choice Which of the following is asolution of
A 1 B C
D E 2
5. Multiple Choice Which of the following is asolution of
A B C
D E 21235
2253
12
6x2 2 7x 2 5 5 0?
25
522
52
2x2 2 3x 2 5 5 0?
25, 15225, 3
53, 232
52, 35
2, 252
y 5 2x2 2 x 2 15?
c 5 6b 5 21,a 5 5,
c 5 0b 5 21,a 5 5,
c 5 6b 5 0,a 5 5,
c 5 26b 5 21,a 5 25,
c 5 6b 5 1,a 5 5,
5x2 2 x 1 6 5 0.
x 52b±!a2 2 4bc
2a
x 52c±!b2 2 4ac
2b
x 52a±!a2 2 4bc
2a
x 52b±!b2 2 4ac
2a
x 5b±!b2 1 4ac
2a
6. Multiple Choice Which of the following isa solution of
A B 1 C
D E
7. Multiple Choice You drop a rock off abridge 30 feet above the ground into a stream.How long does it take the rock to hit thewater?
A 1.45 sec B 1.88 sec
C 1.50 sec D 2.10 sec
E 1.37 sec
8. Multiple Choice An eagle circling a field ata height of 250 feet sees a rabbit below. Theeagle dives at an initial speed of 110 feet persecond. Estimate the time the rabbit has toescape.
A 1.7 sec B 1.8 sec
C 1.6 sec D 1.9 sec
E 2.0 sec
9. Multi-Step Problem You are on a ski-lift50 feet high. While the lift is stopped to letpeople off, you accidentally knock your keysout of your pocket. They fall off the seattowards the ground.
a. Write a vertical motion model for the pathof the keys.
b. How long will it take for the keys to hitthe ground?
c. Critical Thinking What factors wouldchange the path of the dropped keys?
372
27
72
27
7x2 1 5x 1 8 5 10?
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Standardized Test PracticeFor use with pages 533–538
GA QCC: 1, 2, 35
GHSGT: 4
Algebra 1 67Georgia Standardized Test Practice Workbook
9.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 9
1. Multiple Choice What is the discriminant ofthe equation
A 271 B C 289
D E
2. Multiple Choice What is the discriminant ofthe equation
A 36 B 348 C
D E 252
3. Multiple Choice Use the discriminant todetermine the number of solutions for theequation
A 3 B 1 C 2
D Infinitely many E None
4. Multiple Choice Use the discriminant todetermine the number of solutions for the
equation
A 3 B 1 C 2
D Infinitely many E None
5. Multiple Choice What effect does increas-ing the value of C by 2 have on the number ofsolutions for the graph of
A Increases the number of solutions by 2.
B Decreases the number of solutions by 2.
C Increases the number of solutions by 1.
D Has no effect on the number of solutions.
5x2 2 2x 2 1 5 0?
12 x2 5 8.
3x2 2 7x 2 1 5 0?
2252
2348
23x2 2 12x 1 17 5 8?
22772289
2271
7x2 2 3x 1 10 5 0?6. Multiple Choice What effect does decreas-
ing the value of C by 3 have on the number ofsolutions to the graph of
A Increases the number of solutions by 2
B Decreases the number of solutions by 2
C Increases the number of solutions by 1
D Decreases the number of solutions by 1
E Has no effect on the number of solutions
7. Multiple Choice For the equationthe graph of the equation
would ____? .
A Have one x-intercept
B Have two x-intercepts
C Have no x-intercepts
D Have no y-intercepts
E None of these
Quantitative Comparison In Exercise 8–10,determine the number of solutions for eachequation. Then choose the statement below thatis true about the number of solutions.
A The number of solutions in column Ais greater.
B The number of solutions in column Bis greater.
C The number of solutions is equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
2x2 2 5x 1 6 5 0,
3x2 1 6x 1 3 5 0?
TEST TAKING STRATEGY Spend no more than a few minutes on each question.
Standardized Test PracticeFor use with pages 541–547
Column A Column B
y 5 5x2 2 8x 1 3y 5 x2 2 2x 1 1
y 5 25x2 1 10y 512 x2 2 18
y 5 23x2 1 2x 2 6y 5 3x2 2 2x 2 6
GA QCC: 1, 2, 35
GHSGT: 4
68 Algebra 1Georgia Standardized Test Practice Workbook
9.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 9
1. Multiple Choice Which ordered pair is asolution of the inequality
A B C
D E
2. Multiple Choice Which ordered pair is notsolution of the inequality
A B C
D E
3. Multiple Choice Identify the graph of
A B
C D
E y
x93
3
215
29
y
x93
3
29
y
x93
3
215
29
y
x93
3
29
y
x93
3
215
29
y ≥ 5x2 1 14x 2 3.
s21, 6ds1, 5ds1, 8ds0, 22ds22, 35d
y > 8x2 2 2x 2 3?
(0, 0ds22, 18ds3, 7ds1, 28ds2, 23d
y ≤ 3x2 2 5x 2 6?4. Multiple Choice Choose the inequality
which is represented by the graph.
A
B
C
D
E
5. Multiple Choice A volcano is catapultingrocks from its crater. The rocks traveling thefurthest are following a path along
where x and y aremeasured in feet. To be safe from the fallingrocks, you should be standing in the areadefined by which of the inequalities?
A
B
C
D
E None of these
6. Multi-Step Problem A backhoe is digging atrench. On its first sweep, the shovel followsa path modeled by the equation
where x is the length in feetand y is the depth in feet of the hole.
a. What is the deepest point of the hole?
b. What is the length of the hole?
c. Critical Thinking A water line runsperpendicular to the ditch the backhoeis digging. If the line is buried feetdown, did the backhoe hit it on the firstsweep of the shovel? Explain.
312
y 5 x2 2 2x 2 3
y ≤ 2 x2 1 60x 2 80
y < 2 x2 1 60x 2 80
y ≥ 2 x2 1 60x 2 80
y > 2 x2 1 60x 2 80
y 5 2x2 1 60x 2 80,
y < 22x2 2 x 2 4
y < 2x2 2 x 2 4
y ≤ 2x2 2 x 2 4
y ≥ 2x2 2 x 2 4
y
x31
1
25
23
y > 2x2 2 x 2 4
TEST TAKING STRATEGY If you can, check your answer using a different method
than you used originally to avoid making the same mistake twice.
Standardized Test PracticeFor use with pages 548–553
GA QCC: 1, 2
GHSGT: 4, 12, 13
Algebra 1 69Georgia Standardized Test Practice Workbook
9.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 9
Multiple Choice For Exercises 1–6, name thetype of model suggested by the graph or datacollection using the following.
A Quadratic
B Exponential Growth
C Exponential Decay
D Linear
E None of these
1. 2.
3.
4.
5.
6.
s4, 1ds3, 4d,s1, 22d,s21, 2d,(23, 1d,s25, 3d,
s4, 14ds3, 12d,s2, 10d,s1, 8d,(0, 6d,s21, 4d,
s3, 5.2ds2, 4.3d,s1, 3.5d,s0, 3d,(21, 2.5d,s22, 2d,
y
x3121
3
23
2123
y
x3121
3
23
2123
y
x3121
3
1
23
23
7. Multiple Choice You bought a car for$12,000 in 1996. It has decreased in valueby 14.5 % each year since then. Which modelbest fits the situation, where t is the numberof years since 1996?
A
B
C
D
E 0
8. Multiple Choice Name the model that thegraph of represents.
A Quadratic
B Exponential Growth
C Exponential Decay
D Linear
E None of these
9. Multiple Choice Name the model that thegraph of represents.
A Quadratic
B Exponential Growth
C Exponential Decay
D Linear
E None of these
10. Multi-Step Problem Use the collection ofdata below.
a. Make a graph of the data.
b. Name the type of model that best fits thedata.
c. Write a model that best fits the data.
y 5 2.6s0.7dt
y 515 x2 1 10
y 5 0.145t2 1 12,000
y 5 12,000s0.855dt
y 5 12,000s1.45dt
y 5 12,000 2 0.145t
y 5 0.145t 1 12,000
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 554–560
x 0 1 2y 0 21221521621527
212324
70 Algebra 1Georgia Standardized Test Practice Workbook
10.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
0 Standardized Test PracticeFor use with pages 576–582
GA QCC: 1, 7, 8
GHSGT: 4, 33
1. Multiple Choice Classify the equationby degree and by the
number of terms.
A Quadratic polynomial
B Quadratic binomial
C Cubic binomial
D Cubic trinomial
E Cubic polynomial
2. Multiple Choice Which of the following isequal to
A B C
D E
3. Multiple Choice Which of the following isequal to
A
B
C
D
E
4. Multiple Choice Which of the following isequal to
A B
C D
E
5. Multiple Choice Which of the following isequal to
A
B
C
D
E x3 2 x2 2 9x 1 8
9x3 1 5x2 2 9x 1 1
x3 1 5x2 2 9x 1 1
9x3 2 x2 2 9x 1 8
x3 2 x2 2 5x 2 8
s24x3 1 3x2 1 2x 1 1d?s5x3 1 2x2 2 7x 1 9d 2
7x2 1 18x 1 2
7x2 1 18x 2 14x2 2 2x 2 14
x2 2 2x 1 2x2 1 2x 1 2
s4x2 1 7x 2 6d 2 s3x2 1 9x 2 8d?
5x3 1 6x2 1 17x 1 2
5x3 1 6x2 1 17x 2 14
8x3 1 3x2 1 17x 2 14
8x3 1 10x2 1 10x 1 2
8x3 1 10x2 1 10x 2 14
10x 2 8d?s3x2 1 7x 2 6d 1 s5x3 1 3x2 1
12x4 1 1112x4 2 5
12x212x2 1 512x2 1 11
s7x2 1 3d 1 s5x2 1 8d?
7 1 5x 1 2x3 1 3x26. Multiple Choice You want to fence in a
pool and deck area. Find the expressionwhich correctly determines the amount offencing required to complete the job.
A
B
C
D
E
7. Multi-Step Problem A company is keepingtrack of 3 different divisions. The sales S inthousands of dollars for the first two divisionsand the whole company are modeled below,where t is the number of years since 1998.
Division 1:
Division 2:
Company:
a. Find a model that represents division 3.
b. Predict sales for division 3 in 2000.
c. Critical Thinking Sales are $350,000 oneyear, but division 2 did not contribute.Write an equation in terms of t to modelthis situation.
S 5 34.6t2 1 3.2t 1 213
S 5 13.5t2 2 4.3t 1 75
S 5 12.2t2 1 6.3t 1 65
10x2 1 8x 1 20
5x2 1 6x 1 10
10x2 1 3x 1 10
10x2 1 6x
5x2 1 3x
2x 1 5
2x 2
x 2 10 x 1 102
x 2 102
x 1 52
pool
fence
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
1. Multiple Choice Which of the following isequal to
A
B
C
D
E
2. Multiple Choice Which of the following isequal to
A
B
C
D
E
3. Multiple Choice Which of the following isequal to
A B
C D
E
4. Multiple Choice Which of the following isequal to
A B
C D
E
5. Multiple Choice Find the product of
A
B
C
D
E 3x3 1 17x2 2 9x 1 5
3x3 1 13x2 2 9x 1 5
3x3 1 6x2 2 6x 1 6
3x3 1 13x2 2 10x 1 6
3x3 1 13x2 2 10x 1 5
sx 1 5ds3x2 2 2x 1 1d.
x2 2 17x 1 42
x2 2 11x 2 42x2 2 17x 2 42
x2 2 11x 1 42x2 2 17 2 17
sx 2 14dsx 2 3d?
b2 1 10b 2 16
b2 2 6b 1 6b2 2 6b 2 6
b2 1 6b 2 16b2 2 6b 2 16
sb 2 8dsb 1 2d?
24y5 1 10y4 2 12y3
y5 2 7y4 1 4y3
24y6 2 10y4 2 6y3
24y6 1 10y4 2 12y3
4y2 2 10y4 1 12y3
22y3s2y2 2 5y 1 6d?
3x4 1 15x3 1 21x2
23x4 1 15x3 1 21x2
23x4 1 8x3 1 10x2
23x4 1 8x2 1 21x2
8x3 2 3x4 1 21x2
3x2s5x 2 x2 1 7d?6. Multiple Choice Find the product of
A
B
C
D
E
7. Multiple Choice Find the area of theparallelogram by using the formula
A
B
C
D
E
Quantitative Comparison In Exercises 8–10,evaluate the expression for and Then choose the statement below that is trueabout the results.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
8.
9.
10.
y 5 23.x 5 2
x2 1 3x 2 2
x2 1 3x 1 2
x3 1 2x2 2 x 1 3
x3 1 6x2 2 6x 1 3
x3 1 5x2 1 5x 2 3
x 1 2x 2 12
x 1 3
A 5 bh.
8x3 1 24x2 2 32x 1 21
8x3 2 4x 2 21
8x3 2 32x 1 21
8x3 2 12x2 2 20x 1 21
8x3 2 24x2 2 32x 1 21
(2x 2 3d.s4x2 1 6x 2 7d
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
Column A Column B
sy 1 3dsy2 1 2y 1 5ds2x 2 9dsx 2 5ds3y 1 2ds2y 1 5dsx 1 1dsx 2 6d22ys3y2 1 2yd2xsx2 1 3x 1 1d
Algebra 1 71Georgia Standardized Test Practice Workbook
10.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
0
Standardized Test PracticeFor use with pages 584–589
GA QCC: 10
GHSGT: 2, 4, 33
72 Algebra 1Georgia Standardized Test Practice Workbook
10.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
0 Standardized Test PracticeFor use with pages 590–596
GA QCC: 1, 8, 10
GHSGT: 2, 4, 33
1. Multiple Choice Which of the following isequal to
A B
C D
E
2. Multiple Choice Which of the following isequal to
A B
C D
E
3. Multiple Choice Which of the following isequal to the expression
A B
C D
E
4. Multiple Choice Find the area of the circlebelow.
A
B
C
D
E
5. Multiple Choice Which of the following isequal to
A B
C D
E 21x2 1 20x 2 34
21x2 2 3421x2 2 20x 2 34
29x2 2 20x 1 1621x2 2 20x 1 16
s5x 1 3ds5x 2 3d 2 s2x 2 5d2?
A 5 psx2 2 12x 1 36dA 5 psx2 1 12x 1 36dA 5 psx2 2 12x 2 12dA 5 psx2 1 12x 1 12dA 5 psx2 1 6d
x 2 6
sHint: A 5 p r2.d
s5x 2 7ds5x 1 7ds5x 2 7d2(7x 2 5d2
s5x 1 7d2s7x 1 5d2
25x2 2 70x 1 49?
4x2 2 10x 1 9
4x2 2 12x 2 94x2 2 9
4x2 2 12x 1 94x2 1 9
s2x 2 3d2?
x2 1 6x 1 9
x2 2 6x 2 9x2 2 9
x2 2 6x 1 9x2 1 9
(x 1 3d2?6. Multiple Choice Which of the following
represents the area of the figure shown?
A
B
C
D
E
Quantitative Comparison In Exercises 7–9,evaluate the expression for the given values. Thenchoose the statement below that is true about theresults.
A The number in column A is greater.
B The number in column B is greater.
C The two numbers are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
4x 1 8
4x2 1 8x 2 16
4x2 2 16x 1 16
4x2 1 16x 1 16
4x2 2 16
4
4
x
x
x
x
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Column A Column B
whenx 5 3sx 1 2d2 when
y 5 3(y 2 2d2
whenand b 5 24a 5 8
(a 2 bd2 whenand b 5 24a 5 8
(a 1 bd2
when andb 5 24
a 5 5(a 2 bdsa 1 bd when
and b 5 24a 5 5(a2 2 b2d2
1. Multiple Choice Which of the following isone of the solutions of the equation
A B C
D E
2. Multiple Choice Choose the solutions of theequation
A B C
D E
3. Multiple Choice Which of the following aresolutions of the equation
A B C
D E
4. Multiple Choice Choose the solutions of theequation
A B
C D
E
5. Multiple Choice Choose the equationwhose graph is shown.
A
B
C
D
E y 5 sx 2 3dsx 2 2dy 5 sx 2 3d2
y 5 sx 2 3dsx 1 2dy 5 sx 2 2dsx 1 3dy 5 sx 1 2dsx 1 3d
2 626 x
y6
2
3, 26, 227
213, 6, 72
13, 26, 27
2
3, 26, 2713, 6, 72
s3x 2 1dsx 1 6ds2x 1 7d 5 0.
525, 22
5
25
52, 25
252
s2x 2 5d2 5 0?
21, 431, 43
1, 24321, 341, 23
4
s4x 2 3dsx 1 1d 5 0.
338
0238
sx 2 3dsx 1 8d 5 0?
6. Multiple Choice What are the coordinatesof the vertex of the graph of
A B
C D
E
7. Multiple Choice What are the coordinatesof the vertex of the graph of
A B
C D
E
8. Multi-Step Problem A dome tent’s arch ismodeled by where x and y are measured in feet.
a. How wide is the tent at the base?
b. How high is the tent at its highest point?
c. Critical Thinking The base of the tentis a square. Each person requires 18square feet to sleep comfortably. If yourequire an area of 25 square feet to storegear and supplies, how many people cansleep in the tent?
y 5 20.18sx 2 6dsx 1 6d,
(2, 25ds3, 27ds7
4, 918d
s7, 23ds0, 21dy 5 s22x 1 1dsx 2 3d?
s4, 212d
s74, 2101
8ds243, 281
3ds5
3, 2813ds24, 12d
y 5 sx 2 4ds2x 1 1d?
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Algebra 1 73Georgia Standardized Test Practice Workbook
10.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
0
Standardized Test PracticeFor use with pages 597–602
GA QCC: 10
74 Algebra 1Georgia Standardized Test Practice Workbook
10.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
0 Standardized Test PracticeFor use with pages 604–609
GA QCC: 1, 14
GHSGT: 4
1. Multiple Choice Which of the following isa correct factorization of
A B
C D
E Cannot be factored
2. Multiple Choice Which of the following isa correct factorization of
A B
C D
E Cannot be factored
3. Multiple Choice Which of the following isa correct factorization of
A B
C D
E Cannot be factored
4. Multiple Choice Use factoring to solve theequation
A B C
D E Cannot be factored
5. Multiple Choice Use factoring to solve theequation
A B
C D
E Cannot be factored
6. Multiple Choice Use factoring to solve theequation
A B
C D
E Cannot be factored
29, 2429, 4
9, 49, 24
x2 1 13x 1 12 5 224.
24, 124, 212
6, 86, 28
x2 1 2x 2 20 5 28.
7, 23
27, 37, 327, 23
x2 1 4x 5 21.
sx 2 3dsx 2 3dsx 2 9dsx 2 1dsx 1 9dsx 2 1dsx 2 9dsx 1 1d
x2 1 10 2 9?
sx 1 2dsx 1 3dsx 2 2dsx 2 3dsx 1 6dsx 2 1dsx 2 6dsx 2 1d
x2 2 5x 1 6?
sx 2 3dsx 1 4dsx 2 6dsx 1 2dsx 1 6dsx 2 2dsx 1 3dsx 2 4d
x2 1 4x 2 12?7. Multiple Choice The area of a rectangle is
given by Use factoring to findexpressions for the dimensions of the rectangle.
A B
C D
E Cannot be determined
8. Multiple Choice The area of a rectangle is48. If the length is 8 less than its width, whatis its width?
A B C
D E
Quantitative Comparison In Exercises 9–12,solve the equation by factoring and add thesolutions. Then choose the statement that is trueabout the values.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
9.
10.
11.
12.
98
1246
x 2 7, x 1 3x 2 21, x 1 1
x 1 7, x 2 3x 2 7, x 2 3
x2 2 4x 2 21.
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Column A Column B
x2 5 225x2 2 4x 2 12 5 0
x2 2 4x 2 22 5 0x2 2 4x 1 10 5 28
x2 1 5x 2 36 5 0x2 2 2x 2 20 5 28
x2 1 5x 1 6 5 0x2 2 3x 2 14 5 14
1. Multiple Choice Which of the following isa correct factorization of
A
B
C
D
E
2. Multiple Choice Which of the following isa correct factorization of
A
B
C
D
E
3. Multiple Choice Which of the following isa correct factorization of
A
B
C
D
E
4. Multiple Choice Which of the following isa solution of the equation
A B C
D E
5. Multiple Choice Which of the following isa solution of the equation
A B C
D E 214
56
54
45
16
24x2 1 26x 5 5?
1522
27
67
522
52
14x2 2 23x 2 30 5 0?
s9x 2 4ds3x 2 10ds3x 2 4ds9x 2 10ds3x 2 5ds9x 2 8ds9x 2 5ds3x 2 8ds3x 2 5ds9x 1 8d
27x2 2 69x 1 40?
s7x 2 4ds3x 1 1ds7x 2 2ds3x 1 2ds7x 1 2ds3x 2 2ds7x 2 2ds3x 2 2ds21x 2 4dsx 1 1d
21x2 1 8x 2 4?
s10x 1 1dsx 1 6ds10x 1 6dsx 1 1ds5x 2 3ds2x 1 2ds5x 1 2ds2x 1 3ds2x 1 2ds5x 1 3d
10x2 1 19x 1 6?6. Multiple Choice Which one of the follow-
ing equations cannot be solved by factoringwith integer coefficients?
A
B
C
D
E
7. Multiple Choice Multiply each side ofan appropriate
power of ten to obtain integer coefficients.Then solve the equation by factoring.
A B
C D
E
8. Multiple Choice The area of a circle isgiven by Theradius of the circle is ____? .
A B
C D
E
9. Multi-Step Problem A diver jumps off a 20foot high diving board with an initial upwardvelocity of 4 feet per second. Use the verticalmotion model
a. Use the information above to model thevertical motion of the diver.
b. Find the solutions by factoring the modelyou found in part (a).
c. Critical Thinking Explain why only oneof the solutions is reasonable.
n 5 216t2 1 vt 1 s.
22x 1 7
2x 1 77x 1 2
7x 2 22x 2 7
A 5 ps4x2 1 28x 1 49d.
211, 27
3
2211, 7312 7
11, 23
711, 22
3711, 23
0.33x2 1 0.71x 2 0.14 5 0
6x2 1 14 5 31x
15x2 5 12 2 8x
10x2 1 9x 1 3 5 0
16x2 2 26x 5 23
6x2 1 5x 2 6 5 0
TEST TAKING STRATEGY As soon as the test begins, start working. Keep moving
and stay focused on the test.
Algebra 1 75Georgia Standardized Test Practice Workbook
10.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
0
Standardized Test PracticeFor use with pages 611–617
GA QCC: 1, 10, 14
GHSGT: 4
76 Algebra 1Georgia Standardized Test Practice Workbook
10.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
0 Standardized Test PracticeFor use with pages 619–624
GA QCC: 1, 14
GHSGT: 4
1. Multiple Choice Which of the following isa factorization of
A B
C D
E
2. Multiple Choice Which of the following isa factorization of
A B
C D
E
3. Multiple Choice Which of the following isa factorization of
A B
C D
E Cannot be factored
4. Multiple Choice Which of the following isa factorization of
A
B
C
D
E Cannot be factored
5. Multiple Choice Which of the following isa factorization of
A B
C
D
E Cannot be factored
6. Multiple Choice Which of the following isa solution of
A B C
D E Cannot be factored7
12140
2x2 2 98 5 0?
23s5x 1 1d2
s15x 2 3ds25x 2 1d23s5x 2 1d223s5x 1 1ds5x 2 1d
275x2 2 30x 2 3?
5s2x 1 5d2
5s2x 2 5ds2x 1 5d5s2x 2 5d2
5s2x 2 10ds2x 1 10d20x2 2 125?
s6x 2 7d22s9x 1 3ds2x 1 4ds6x 1 7d2s6x 2 7ds6x 1 7d
36x2 1 84x 1 49?
s5x 1 16ds5x 1 1ds5x 1 4d2s5x 2 16ds5x 2 1ds5x 2 4d2s5x 2 4ds5x 1 4d
25x2 2 16?
2sx 1 4dsx 2 4dsx 2 8d22sx 2 4dsx 2 4dsx 1 8d2sx 1 8dsx 2 8d
x2 2 16x 1 64?7. Multiple Choice Which of the following is
a solution of
A B C
D E
8. Multiple Choice An object is propelledfrom the ground with an initial upward veloc-ity of 80 feet per second. How long does ittake to reach a height of 100 feet?A 1.9 sec B 2.6 sec
C 1.8 sec D 2.1 sec
E 2.5 sec
9. Multiple Choice Determine the diameter Dnecessary for a wire rope to lift a 10.24 tonload safely.A 4 inches B 1.6 inches
C 1.8 inches D 2 inches
E 6.4 inches
Quantitative Comparison In Exercises 10–11,solve the equation by factoring and add thesolutions. Then choose the statement that is trueabout the values.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
10.
11.
32
23
223
162
16
4x2 143 x 1
19 5 0?
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
Column A Column BThe solution ofx2 2 16 5 0
The solution of9x2 2 25 5 0
The solution of36x2 2 16 5 0
The solution ofx2 2 10x 1 25 5 0
1. Multiple Choice Which expression showsthe greatest common factor removed from
A
B
C
D
E
2. Multiple Choice Which of the following isthe complete factorization of
A
B
C
D
E
Quantitative Comparison In Exercises 3–5,solve the equation by factoring and add thesolutions. Choose the statement that is true aboutthe given value.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
3.
4.
5.
7y2sy 1 1ds3y 1 2dy2s7y 1 2ds3y 1 7d7y2sy 1 2ds3y 1 1d
7ysy 1 2ds3y2 1 ydy2s7y 1 14ds3y 1 1d
21y4 1 49y3 1 14y2?
6x2s8x2 2 8x 2 10dx2s24x2 2 48x 1 60d12xs2x3 2 4x2 2 5xd12x2s2x2 2 4x 2 5d12s2x4 2 4x3 2 5x2d
24x4 2 48x3 1 60x2?
6. Multiple Choice Which of the following isthe complete factorization of
A
B
C
D
E
7. Multiple Choice The length of a box is5 inches less than twice the width. The heightis 4 inches more than three times the width.The box has a volume of 520 cubic inches.Which of the following equations can beused to find the height of the box?
A
B
C
D
E
8. Multiple Choice Which equation cannot besolved using the factoring method?
A
B
C
D
E 6x3 2 15x2 2 39x 5 0
4x3 2 4x2 2 24x 5 0
90x2 1 15x 2 30 5 0
x3 1 2x2 1 3x 1 6 5 0
4x3 1 4x2 2 x 2 1 5 0
ls5 2 2wds3h 1 4d 5 520
ws2w 2 5ds3w 2 4d 5 520
ws2w 1 5ds3w 2 4d 5 520
ws2w 2 5ds3w 1 4d 5 520
ws2l 2 5ds3h 1 4d 5 520
sx 1 5dsx2 1 3d(x 1 3dsx2 1 5dsx 2 3dsx2 1 5dsx 1 3dsx 1 5dsx 2 1dsx 1 3dsx 2 2dsx 1 3d
x3 1 5x 1 3x2 1 15?
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Column A Column B
5x3 2 5x2 2 30x 5 09x3 2 9x2 2 4x 1 4 5 0
x3 1 5x2 2 9x 2 45 5 02x2 1 2x 1 5x 1 5 5 0
2x3 2 4x2 2 6x 5 05x2 1 15x 1 10 5 0
Algebra 1 77Georgia Standardized Test Practice Workbook
10.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
0
Standardized Test PracticeFor use with pages 625–632
GA QCC: 1, 13, 14
GHSGT: 4
GA QCC: 28
GHSGT: 9, 24, 33, 38, 39
78 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY Some questions involve more than one step. Reading too
quickly might lead to mistaking the answer to a preliminary step for your final
answer.
Standardized Test PracticeFor use with pages 643–648
11.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1
1. Multiple Choice What are the means of theproportion A 5 and 8 B 5 and 16
C 5 and 10 D 8 and 16
E 8 and 10
2. Multiple Choice Which of the following is
the solution of
A B C
D E
3. Multiple Choice Which of the following is
the solution of
A 2 B C 8
D E 9
4. Multiple Choice Which of the following is
the solution of
A 25 B 50 C 4.5
D 10 E 20
5. Multiple Choice Which of the following is
the solution of
A B 6 C
D E 7
6. Multiple Choice Which of the following is a
solution of
A 3 B C 6
D 2 E 4
26
23y 2 3
5y
26?
225
2625
x 2 210
5x
15?
2x5
540x
?
18
12
43x
51421
?
1 11631
2
334
41562
3
516
5x
12?
58 5
1016?
7. Multiple Choice You are looking at a mapto see how much further it is to your destina-tion. The distance on the map is 1.6 inches. If
the map has a scale of 1 mile is of an inch,how much further do you have to go?
A 51.2 miles B 15.6 miles
C 23.4 miles D 20.0 miles
E 57.5 miles
8. Multiple Choice Rangers caught andbanded 50 golden eagles at a wildlife reserve.Later, the researchers caught 200 goldeneagles, 17 of which had bands. Estimate thetotal golden eagle population at the reserve.
A 500 B 526 C 350
D 588 E 376
Quantitative Comparison In Exercises 9–11,solve the proportion. Then choose the statementbelow that is true about the given number.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal
D The relationship cannot be determinedfrom the given information.
9.
10.
11.
132
Column A Column B
3x
51012
2x 1 114
579
x 1 715
5x6
x 1 23
51x
x 1 210
5x
x 1 3x 2 3
x5
62x 1 5
GA QCC: 1, 3, 28
GHSGT: 4, 5, 33
Algebra 1 79Georgia Standardized Test Practice Workbook
1. Multiple Choice What is 12% of 136?
A 11.33 B 16.32 C 15.21
D 14.7 E 27.1
2. Multiple Choice What is 420% of 48?
A 87.5 B 20.16 C 100
D 201.6 E 875
3. Multiple Choice 13 is what percent of 57?
A about 22.8% B about 7.41%
C about 4.38% D about 438.5%
E about 741%
4. Multiple Choice 75 is what percent of 20?
A about 3.75% B about 26.7%
C about 15% D about 267%
E about 375%
5. Multiple Choice 31.5 is 15% of what number?A 200 B 210 C 230
D 473 E 476
6. Multiple Choice 90 is 120% of what number?A 108 B 133 C 75
D 62 E 85
7. Multiple Choice A store has a 50% off salein September on select items. In October, itmarks the sale prices back up by 50%. Whatwould a sweater that originally sold for $100now be selling for?A $100 B $50 C $150
D $25 E $75
Multiple Choice In Exercises 8 and 9, refer tothe graph. In a survey, people were asked if theythink the income tax system is equitable.
8. In the survey, 91 people strongly agreed thatthe income tax system is equitable. Howmany people were surveyed?A 250 B 3185 C 319
D 455 E 260
9. If you asked 550 people, how many wouldyou expect to answer “disagree” or “stronglydisagree”?A 165 B 55 C 220
D 250 E 303
Quantitative Comparison In Exercises 10–13,solve the proportion. Then choose the statementbelow that is true about the given number.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal
D The relationship cannot be determinedfrom the given information.
10.
11.
12.
13.
20%agree
30%stronglydisagree
10%disagree
5%no opinion
35%strongly
agree
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip
questions that are too difficult for you and spend no more than a few minutes on
each question.
Standardized Test PracticeFor use with pages 649–655
11.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1
Column A Column B
57% of 2005 x 110% of 605 x
38% of x 5 540 19% of x 5 270
17100
5x
2823% of x 5 1.2
x% of 72 5 18 20% of 125 5 x
80 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Which of the followedequations models inverse variation?
A B
C D
E
2. Multiple Choice Which of the followingequations models direct variation when and A B
C D
E
3. Multiple Choice The variables x and y varyinversely. When x is 15, y is 40. If x is 5, theny is A 13.3 B 115 C 20
D 120 E 3000
4. Multiple Choice The area of a rectangle is15 square inches. Which equation shows thecorrect relationship of length to width?
A B
C D
E
5. Multiple Choice Which of the followingwould not be an example of inverse variation?A The hours h you must work to earn $500
and your hourly pay p.
B The base b and height h of a triangle ifthe area is 15 square inches.
C The time t it takes to drive 30 miles andyour rate r.
D The rectangle’s length l and the area h ifthe width is 5 inches.
E None of these
y 5 15 1 x
y 515x
y 5 15 2 x
y 5 15xy 5x
15
_____? .
y 5x
147
y 513 xy 5
147x
y 5 23xy 5 3x
y 5 21?x 5 7
xy 5 8
y 5 8 2 xy 5 x 1 8
y 5 8xy 518 x
6. Multiple Choice Choose the type ofvariation and the equation that represents thegraph.
A Inverse;
B Inverse;
C Direct;
D Direct;
E None of these
7. Multiple Choice The variables x and y varyinversely. When x is y is 18. If y is 6,then x is A B 1 C
D 9 E 3
8. Multi-Step Problem You would like to buya new mountain bike that costs $1200.a. Make a table of possible values of the
hours worked h and pay rate p to earn$1200. Sketch a graph.
b. Does the model represent direct orinverse variation? Explain.
c. Critical Thinking Your friend is lookingat a bike that costs $800. How does themodel for this situation relate to themodel for your situation?
2921____? .
23,
y 510x
y 5 10x
y 510x
y 5 10x
2
2
6
10
6 10 x
y
TEST TAKING STRATEGY Think positively during a test. This will help keep up your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 656–662
11.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1GA QCC: 1, 2
GHSGT: 4, 12, 13, 33, 36
Algebra 1 81Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the simplified
form of the expression
A B C
D E
2. Multiple Choice What is the simplified
form of the expression
A B C
D E
3. Multiple Choice What is the simplified
form of the expression
A B C
D E
4. Multiple Choice Which values of the vari-able create an undefined expression for
A 2 B 2, C 3
D E
5. Multiple Choice Which values of thevariable create an undefined expression for
A 5, B C 0,
D 0, 5, E
6. Multiple Choice What is the simplified
form of the expression
A B C
D Ex 2 6
sx 1 6dsx 2 4d21
x 2 2
2x 2 2x 2 4
x 1 2x 2 4
24x 2 12
2x2 2 8x 2 12x2 1 2x 2 24
?
0, 25, 12212
2525, 12212
2x 1 12x3 2 9x2 2 5x
?
2222, 3
23
12x2 2 x 2 6
?
x2 1 42sx 1 2dsx 2 2d
x2
12x3 2 2
12
xx 1 2
2x3 1 8x4x3 2 16x
?
x 2 1sx 1 6ds2x 1 3d
3s2x 1 3dx 1 6
3sx 2 1dx 1 6
x 2 1x 1 6
x 2 315x 1 18
6x2 1 3x 2 96x2 1 45x 1 54
?
x 1 3sx 1 7dsx 1 2d
3xx 1 7
3x 1 2
x 1 2x 1 7
3x 1 7
3x2 1 6xx2 1 9x 1 14
?
7. Multiple Choice Which ratio represents theratio of the smaller rectangle to the larger rectangle?
A B
C D
E
8. Multiple Choice A coin is thrown onto thelarger rectangle shown in Exercise 7. If it isequally likely to land anywhere in therectangle, what is the probability that it willland on the small rectangle when
A B C
D E
Quantitative Comparison In Exercises 9–11,simplify the expression and evaluate it for
Then choose the statementbelow that is true about the given values.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal
D The relationship cannot be determinedfrom the given information.
9.
10.
11.
x 5 3 and y 5 22.
1348
548
1363
15
118
x 5 5?
xsx 1 3dsx 1 1d
x 1 33xsx 1 1d
x2
x2 1 4x 1 3
13sx 1 1d
xx 1 1
xx 1 3 3x
x2 1 4x 1 3
TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of
your choices so you can make an educated guess.
Standardized Test PracticeFor use with pages 664–669
11.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1GA QCC: 25
GHSGT: 33
Column A Column B
5xx2 1 6x
7y2
14y 2 7y2
x2 2 4x2 1 4x 1 4
y2 1 9y2 1 6y 1 9
2x 2 6x2 2 x 2 6
y3 1 2y2
y4 2 3y3 2 2y2
82 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the simplified
form of the expression
A B C
D E
2. Multiple Choice Which product equals the
quotient
A
B
C
D
E
3. Multiple Choice What is the simplifiedform of the expression
A B
C D
E
4. Multiple Choice What is the simplified
form of the expression
A B
C D
E6x2 2 1
x2 1 5x 2 1
x 1 17sx 1 6d
x 1 67sx 1 1d
7xsx 1 1dx 1 6
x 2 17xsx 1 6d
x2 2 1x2 1 6x
4x 2 1
7x2 ?
x 1 3sx 2 2ds2x 1 6d
2x 1 52sx 1 3d
x 1 32sx 2 2d
12x 1 5
12sx 2 2d
x 1 32x2 1 x 2 10
?2x 1 52x 1 6
?
5x2 2 1x 2 1
?x2 1 4x 2 1
1s5x 2 1d ?
x 1 1x2 1 4
s5x 2 1d1
?x2 1 4x 2 1
s5x 2 1d1
?x 2 1x2 1 4
1s5x 2 1d ?
x2 1 4x 1 1
s5x 2 1d 4x2 1 4x 2 1
?
3x2
43x3
4x
x3
4x2
23x3
4
5x3
7x2 ?21x2
20x?
5. Multiple Choice What is the simplifiedform of the expression
A B
C D
E
6. Multiple Choice What is the simplifiedform of the expression
A B
C D
E
7. Multi-Step Problem A local truckingcompany kept data on its company from1995–1998 and developed the followingmodels, where t is the number of yearssince 1995.
Number of miles driven:
Number of employees:
a. Find a model for the average number ofmiles driven per employee.
b. Use the model to predict the averagenumber of miles driven in 2002. Roundyour answer to the nearest hundred miles.
c. Use the model to predict the averagenumber miles driven in 2004. Round youranswer to the nearest hundred miles.
d. Writing Compare the answers to parts (b)and (c). What is the trend? Can thiscontinue indefinitely?
E 520 1 5t
1 1 0.02t
M 52,000,000 1 23,000t
1 2 0.03t
x 1 13x2
2s5x 1 1d3x2
2sx 1 1d3x2
2x3s5x 1 1d
xsx 1 1d5x 1 1
1 x2
5x 1 1?
sx 1 1d3x3 2 4
x10x 1 2
?
sx 1 6ds5x 2 7d2
x 1 7
x 1 6x 1 7
5x 2 7x 1 6
x 1 7x 1 6
x 1 7sx 1 6ds5x 2 7d
5x2 1 23x 2 42x 1 7
4 s5x 2 7d?
TEST TAKING STRATEGY Go back and check as much of your work as you can.
Standardized Test PracticeFor use with pages 670–675
11.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1GA QCC: 10, 26
GHSGT: 3, 33
Algebra 1 83Georgia Standardized Test Practice Workbook
1. Multiple Choice Simplify the expression
A B C
D E
2. Multiple Choice Find the LCD of
and
A B
C D
E
3. Multiple Choice Simplify the expression
A B
C D
E
4. Multiple Choice Simplify the expression
A B
C D
E2x 1 1
sx 1 5dsx 2 1d
2x2 2 2x 1 16sx 1 5dsx 2 1d
3x2 1 15x 2 1x 1 5
2x2 1 17x 2 1sx 1 5dsx 2 1d
3x2 1 15xx 1 5
3xx 2 1
2x 2 1x 1 5
.
8x 1 17
sx 1 2d2sx 1 3d2
8x 1 17sx 1 2dsx 1 3d
x 1 8x 1 3
x 1 8sx 1 2dsx 1 3d
7x 1 7sx 1 2dsx 1 3d
2x 1 2
15
x 1 31
x 1 1x2 1 5x 1 6
.
sx 1 2dsx 2 3d2
sx 2 2ds3x 1 1dxs3x 1 1d
sx 2 3dsx 2 3dsx 1 2dsx 2 3d
3x 1 1x2 2 6x 1 9
.x
x2 2 x 2 6
42x2 1 12x4x 1 3
13x 1 24x 1 3
13x 1 28x 1 6
x 1 24x 1 3
x 1 2
7x 1 24x 1 3
16x
4x 1 3.
5. Multiple Choice Which expressionrepresents the perimeter of the triangle?
A
B
C
D
E
6. Multi-Step Problem A plane is traveling1200 miles between two cities. Its speed withno wind is represented by x miles per hour.On a trip, traveling with the wind, the windspeed is 25 miles per hour. On the return trip,traveling against the wind, the wind speedincreases to 30 miles per hour.
a. Write an expression for the total time forthe round trip.
b. Simplify the expression from part (a).
c. How long will the trip take, both ways, ifthe plane travels 200 miles per hour?
d. Critical Thinking A smaller plane canonly travel 100 miles per hour. Comparethe travel time of the planes. Did you getthe result you expected? Explain.
4x2 1 42x 1 68s3x 2 2d2sx 1 7d
13x2 1 44x 1 70sx 1 7ds3x 2 2d
13x2 1 14x 1 25s3x 2 2dsx 1 7d
4x2 1 42x 1 68s3x 2 2dsx 1 7d
13x2 1 32x 1 70s3x 2 2dsx 1 7d
2x 1 53x 2 2
3xx 1 7
2x 1 53x 2 2
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 676–682
11.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1GA QCC: 1, 25, 26
GHSGT: 3, 4, 33
84 Algebra 1Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 684–689
11.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
1GA QCC: 26
1. Multiple Choice What is divided by
A B
C D
E
2. Multiple Choice What is divided by
A
B
C
D
E
3. Multiple Choice In the equation
the
represents the
A dividend B quotient
C remainder D divisor
E product
4. Multiple Choice What is divided by
A
B
C
D
E 3x 2 5 17
5x 2 2
3x 2 1 128
5x 2 2
3x 2 3 12x 2 65x 2 2
3x 2 3 122x 2 65x 2 2
3x 2 1 124
5x 2 2
5x 2 2?15x2 2 11x 2 6
_____? .
x 1 25x2 1 2x 1 3
x 1 25 5x 2 8 1
19x 1 2
,
14x 1 10 125
7x 1 1
3x 1 2 123
7x 1 1
3x 1 3 122x 1 57x 1 1
3x 1 2 127
7x 1 1
3x 1 3 12x 2 57x 1 1
7x 1 1?21x2 1 17x 2 5
26x 2 2 17
22x
6x 1 2 172x
26x 1 2 17
22x
6x 2 2 172x
26x 1 2 172x
22x?12x2 2 4x 1 7 5. Multiple Choice The area of a rectangle is
One side is Choosethe expression for the missing data.
A
B
C
D
E
6. Multiple Choice Jane is twice as old asMitch. Write and simplify using long divisiona ratio comparing Jane’s age in 6 years toMitch’s age in 6 years.
A B
C D
E
Quantitative Comparison In Exercises 7–9,use long division to divide the polynomials. Thenevaluate the expression when Choose the statement below that is true about thegiven values.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
x 5 2 and y 5 3.
2x 1 6
2 218
x 1 62 1
6x 1 6
2 26
x 1 62 1
18x 1 6
5x 2 7
5x 1 6 1252
3x 1 4
5x 2 7 11
3x 1 4
5x 1 7
5x 1 6 124
3x 1 4
3x 1 4.15x2 2 x 2 28.
Column A Column B
s12x3 1 4x2d 4 4x3ys18y3 2 9y2 2 3d 4
s2x 2 4ds10x2 2 5x 2 7d 4
sy 1 3ds5y2 1 8y 1 1d 4
s2x 1 3ds6x2 1 7x 2 3d 4
s5y 1 2ds15y2 1 16y 1 4d 4
1. Multiple Choice What is the solution of
A B C 3
D E
2. Multiple Choice What is a solution of
A about 7.1 B about 5.6
C about D about
E about 2.9
3. Multiple Choice You have a batting averageof 0.200 after 90 times at bat. You would liketo raise your average to 0.250. Whichequation would you use to calculate thenumber of consecutive hits you need toachieve your goal?
A B
C D
E
4. Multiple Choice Two hoses are filling aswimming pool. The first hose can fill thepool in 30 minutes, the second in 45 minutes.If both hoses are used, how long will it taketo fill the pool?A 15 minutes B 16 minutes
C 18 minutes D 20 minutes
E 22 minutes
5. Multiple Choice Which value is not in the
domain of
A B C 0
D 6 E 5
2625
y 51
x 2 51 6?
0.05 5x
18
0.20 5x 2 18
900.20 5
18 1 x90 1 x
0.25 518 1 x
900.25 5
18 1 x90 1 x
24.425.6
12x 1 2
1 2 53x
x2 2 3x 2 10?
35
215
23235
x 1 15
52x15
?
6. Multiple Choice Which function representsthe graph?
A B
C D
E
7. Multiple Choice Choose the equation of thevertical asymptote of the hyperbola
A B
C D
E
Quantitative Comparison In Exercises 8–10,find the center of the hyperbola, then choose thestatement below that is true about the givenstatement.
A The value of h is greater than k.
B The value of k is greater than h.
C The values of h and k are equal.
D The relationship cannot be determinedfrom the information given.
8.
9.
10. y 58x 2 35
x 2 5
y 55x 1 2x 2 1
y 527
x 1 32 4
x 5 5
x 5 23x 5 3
y 5 25y 5 5
y 524
x 2 51 3.
y 51
x 2 32 1
y 521
x 1 22 3y 5
21x 1 2
1 3
y 51
x 1 22 3y 5
1x 1 2
1 3
y
x31
1
21
23
25
23
Algebra 1 85Georgia Standardized Test Practice Workbook
TEST TAKING STRATEGY As soon as the testing begins, start working. Keep moving
and stay focused on the test.
Standardized Test PracticeFor use with pages 690–697
11.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
1GA QCC: 1, 2, 26, 27
GHSGT: 4
GA QCC: 1, 31
GHSGT: 4, 34
86 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the domain of thefunction A B C
D E
2. Multiple Choice Which quadrants of thecoordinate plane will contain the graph of
A Quadrant I B Quadrant III
C Quadrant IV D Quadrant I and IV
E Quadrant III and IV
3. Multiple Choice What are the domain andthe range of the function A Domain: Range:
B Domain: Range:
C Domain: Range:
D Domain: Range:
E Domain: Range:
4. Multiple Choice What is the equation of thegraph of the function shown?
A B
C D
E y 5 !x 2 2
y 5 !2x 2 2y 5 !x 1 2
y 5 !x 2 2y 5 !2x 2 2
y
x3 521
3
1
21
23
y ≥ 5x ≥ 2
y ≥ 0x ≥ 22
y ≥ 22x ≥ 5
y ≥ 25x ≥ 2
y ≥ 0x ≥ 0y 5 !x 2 2 2 5?
y 5 !2x 2 4?
x ≥ 0x ≤ 6
x ≥ 6x ≤ 26x ≥ 26y 5 5 1 !x 1 6?
5. Multiple Choice What is the walking speedof an animal with a leg length of 3 feet. Thewalking speed model is where
A about 4.8 B about 3.3
C about 9.8 D about 5.9
E about 6.6
6. Multiple Choice What is the radius of acylindrical container with a volume of 196.25cubic inches. The height is 10 inches.
A about 2.2 inchesB about 10.3 inches
C about 2.5 inchesD about 13.5 inches
E about 12.8 inches
Quantitive Comparison In Exercises 7–9,evaluate each the square root function for thegiven values of x, then choose the statement thatis true about the given numbers.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
sHint: V 5 pr2h.d
ftysec
ftysecftysec
ftysecftysec
g 5 32 ftysec2s 5 !gL,
TEST TAKING STRATEGY If you can, check your answer using a different method
than you used originally, to avoid making the same mistake twice.
Standardized Test PracticeFor use with pages 709–714
12.1LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
2C
hap
ter
12
Column A Column BWhen
When
When x 5 5
x 5 22
x 5 3
x 5
y 513!3x 2 1 y 5 !6 2 2x
y 5 !6 2 5x y 5 !4x2 1 9
y 5!x4
2 1 y 5!x3
1 1
GA QCC: 31
GHSGT: 3, 33
Algebra 1 87Georgia Standardized Test Practice Workbook
1. Multiple Choice Simplify the expression
A B C
D E 20
2. Multiple Choice The conjugate of is
A B
C D
E
3. Multiple Choice Simplify the expression
A B
C D
E
4. Multiple Choice Solve the quadraticequation
A B
C D
E5 ± !31
2
25 ± !172
5 ± !172
5 ± !332
25 ± !332
x2 2 5x 2 2 5 0.
8 1 2!7
72 2 18!79
72 2 18!79
72 2 18!772 1 18!7
184 2 !7
.
25 1 !3
25 2 !35 1 !23
5 2 !35 1 !3
____? .5 2 !3
8!5
20!55!812!2
!500 2 !180 1 !80.5. Multiple Choice Find the area of the triangle
below.
A
B
C
D
E
6. Multiple Choice The area of a rectangle isIf the length of one side is
what is the length of the other side?
A B
C D
E
Quantitative Comparison In Exercises 7–9,simplify the expression. Then choose the state-ment below that is true about the given number.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
7.
8.
9.
7 2 3!3
7 1 3!313 2 3!3
7 1 7!313 1 3!3
2 1 !3,5 1 !3.
24!4 1 3!28 1 11!21 1 33
2!39 1 11!21 1 7!6 1 33
14!3 1 11!21 1 6!7 1 33
7!6 1 11!21 1 6!7 1 33
14!3 1 17!7 1 33
21 1 3
28 1 11
TEST TAKING STRATEGY Work as fast as you can through the easier problems, but
not so fast that you are careless.
Standardized Test PracticeFor use with pages 716–721
12.2LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
2
Column A Column B
s2 1 !6ds2 2 !6d 2!3 ? !12
!75 2 !27 !72 2 !18
3!5
?2!15
3
!123
?!18!2
88 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice Which of the following isa solution of A 15 B 30 C 5.5
D 225 E 230
2. Multiple Choice Which of the following isa solution of A 118 B 62 C 59
D 32 E 31
3. Multiple Choice Which of the following isa solution of
A B C
D E
4. Multiple Choice Which of the following isa solution of A 8 B 4 C
D 8, 4 E 8,
5. Multiple Choice Which of the following isa solution of A 6 B 8 C
D E
6. Multiple Choice The geometric mean of xand 27 is 18. What is the value of x?A 22 B 13 C 12
D 21 E 16
7. Multiple Choice The geometric mean of 12and y is 42. What is the value of y?A 42 B 22.4 C 3.4
D 3.5 E 147
2826
224x 5 !2x 1 48?
24
24x 5 !4x 1 32?
32
53
35
52
25
3 2 !2x 2 1 5 5?
!2x 1 3 2 3 5 8?
!x 2 5 5 10?8. Multiple Choice What is the value of x in
the triangle below whose area is 26?A 1
B 2
C 3
D 4
E 5
9. Multiple Choice Two numbers have ageometric mean of 6. One number is 9 lessthan other. What are the numbers?A 3 and 12, and
B 2 and 11, and
C 4 and 13, and
D 1 and 10, and
E None of these
Quantitative Comparison In Exercises 10–13,choose the statement below that is true about thegiven quantities.
A The quantity in column A is greater.
B The quantity in column B is greater.
C The two quantity are equal.
D The relationship cannot be determinedfrom the given information.
10.
11.
12.
13.
21021
21324
21122
21223
2x 1 8
13
TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such
as the types of questions and the topics that the test will cover.
Standardized Test PracticeFor use with pages 722–728
12.3LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
2GA QCC: 31, 32, 33, 34
GHSGT: 33
Column A Column B
The geometric meanof 4 and 9.
The geometric meanof 2 and 18.
The solution of!x 1 5 5 3.
The solution of!x 1 5 5 3.
The geometric meanof 3 and 75.
The geometric mean of 12 and 27.
The geometric meanof and 216.24
The solution of!2x 1 7 5 4.
Algebra 1 89Georgia Standardized Test Practice Workbook
1. Multiple Choice What term should beadded to so that the result is aperfect square trinomial?A 9 B 162 C 42
D 81 E 36
2. Multiple Choice What term should beadded to so that the result is a perfectsquare trinomial?
A B C
D E
3. Multiple Choice Solve bycompleting the square, then choose the solution.
A B
C D
E None of these
4. Multiple Choice Solve by completing the square.
A B
C D
E
5. Multiple Choice Solve using the most appropriate method.
A B C
D E
6. Multiple Choice Solve the equationusing the most
appropriate method.
A B C
D E 210, 5310, 53
25, 3225, 23223, 5
5 03x2 1 13x 2 10
0, 231, 13
0, 130, 30, 213
15x 2 45x2 5 0
12 ± !43
7 ± !426 ± !42
6 ± !437 ± !43
x2 2 12x 2 7 5 0
218
±!129
814
±!129
8
18
±!129
818
±!130
8
4x2 2 x 2 8 5 0
235
125
925
14425
35
x2 265 x
x2 1 18x7. Multiple Choice The area of a triangle is 90
square inches. The base is 8 inches less than3 times the height. What is the measurementof the height?A 6.5 inches B 7.0 inches
C 8.2 inches D 9.2 inches
E 4.3 inches
8. Multiple Choice Solve using the most appropriate method.
A B
C D
E
Quantitative Comparison In Exercises 9–11,find the term that should be added to theexpression to create a perfect square trinomial.Then choose the statement below that is trueabout the added term.
A The added term in column A is greater.
B The added term in column B is greater.
C The two added terms are equal.
D The relationship cannot be determinedfrom the given information.
9.
10.
11.
7 ± 2!15
27 ± 3!527 ± 2!5
27 ± 3!107 ± 6!10
x2 2 14x 2 11 5 0
TEST TAKING STRATEGY Avoid spending too much time on one question. Skip
questions that are too difficult for you, and spend no more than a few minutes on
each question.
Standardized Test PracticeFor use with pages 730–736
12.4LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
2GA QCC: 35
Column A Column B
x2 1 13x x2 2 13x
x2 135 x x2 2
47 x
x2 1 3.2x x2 1175 x
90 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the length of themissing side of the triangle?
A B
C D
E
2. Multiple Choice What is the length of themissing side of the triangle?
A B
C D
E
3. Multiple Choice A right triangle has oneleg that is 5 inches longer than the other leg.The hypotenuse is 25. Find the length of theshorter leg.A 10 B 15 C 17
D 20 E 13
4. Multiple Choice A right triangle has oneleg that is twice the other leg. If thehypotenuse is find the length of thelonger leg.A 8 B 16 C 4
D 32 E 12
8!5,
5!11
3!511!5
7!25!3
5 7
10
x
3!4
4!33!6
3 2
6x
18!26!3
5. Multiple Choice Which lengths belowwould form a right triangle?A 1, 3, 5 B 1.2, 2.4, 6.1
C 6, 9, 10 D
E None of these
6. Multiple Choice A rectangular pool is13 feet by 25 feet. What is the diagonallength from corner to corner?A about 29.5 B about 27 ft
C about 27.5 D about 28.5
E about 28 ft
7. Multiple Choice The area of a square is 64 square feet. What is the length of its diagonal?
A 8 feet B feet
C feet D feet
E feet
8. Multiple Choice The diagonal of a square isfeet. What is its area?
A 5 B
C D
E
9. Multi-Step Problem Two planes leave fromPhiladelphia airport at the same time. Oneflies due south. The other flies southwest at arate that is 30 miles per hour less than twicethe rate of the plane headed south. After onehour, measuring east to west, the planes are200 miles apart.
a. Let x represent the plane headed South.Write an expression for each plane’sdistance after one hour.
b. Draw a diagram of the situation.
c. Use the Pythagorean theorem to find thespeed of each plane.
d. Writing Which method did you use tosolve the quadratic equation? Why?
50 ft2
25 ft215 ft2
10 ft2ft2
5!2
5!6
8!29!2
8!3
2!5, 4, 6
TEST TAKING STRATEGY Be aware of how much time you have left, but keep
focused on your work.
Standardized Test PracticeFor use with pages 738–744
12.5LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
2GA QCC: 32, 33
GHSGT: 19, 29, 30, 31,32, 35
Algebra 1 91Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the distancebetween and
A B C
D E
2. Multiple Choice What is the distancebetween and
A B 13 C
D 5 E
3. Multiple Choice What is the distancebetween between points A and B?
A B 3 C
D E
4. Multiple Choice Use the graph in Exercise3. Find the midpoint between points A and B.
A B
C D
E
5. Multiple Choice The vertices of a righttriangle are and Whatis the length of the hypotenuse?
A 8 B 4 C
D E 5
6. Multiple Choice The vertices of a righttriangle are and What is the length of the hypotenuse?
A 4 B 7 C
D E 3!5!13
!65
s3, 25d.s21, 25d, s3, 2d,
!41
!89
s0, 22d.s5, 22d, s0, 6d,
s12, 0d
s12, 1ds21
2, 0ds23
4, 23ds0, 12d
!53!10
!103!5
y
x3121
3
1
21
23
23
A(21, 3)
B(2, 23)
!265
!109!29
s8, 27d?s3, 5d
!8!26
!34!2!74
s24, 3d?s23, 22d7. Multiple Choice What is the midpoint
between and
A B C
D E
8. Multiple Choice Which set of points belowform a right triangle?
A
B
C
D
E None of these
9. Multiple Choice Two fish are stocked into alake from a boat. The first swims 1 mile northand 2 miles east. The second swims 3 mileswest then 2 miles north. How many milesapart are the fish?A 5.8 B 4 C 4.5
D 5.1 E 5.6
10. Multiple Choice The distance between twopoints is 7, and the points are and Find x.A 12.3 B C
D A and B E B and C
Quantitative Comparison In Exercises 11–13,find the distance between the two points. Thenchoose the statement below that is true about thegiven number.
A The value in column A is greater.
B The value in column B is greater.
C The two values added term are equal.
D The relationship cannot be determinedfrom the given information.
11.
12.
13.
23.222.3
sx, 4d.s5, 2d
s25, 23d, s4, 23d, s25, 4ds21, 2d, s1, 2d, s6, 21ds22, 1d, s4, 8d, s6, 1ds3, 2d, s5, 7d, s21, 7d
s22, 212ds22, 25
2ds8, 21
2ds2, 52ds8, 212d
s26, 2d?s10, 3d
TEST TAKING STRATEGY Think positively during a test. This will help keep your
confidence and enable you to focus on each question.
Standardized Test PracticeFor use with pages 745–750
12.6LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
2GA QCC: 30, 31
GHSGT: 35
Column A Column B
and s2, 1ds5, 8d and s3, 2ds24, 2dand
s25, 213ds22, 22d and s7, 9ds4, 22d
and s2, 23ds12, 6d and s3, 21
2ds54, 22d
92 Algebra 1Georgia Standardized Test Practice Workbook
1. Multiple Choice What is the sine of inthe triangle?
A
B
C
D
E
2. Multiple Choice Use the figure in Exercise1. What is the cosine of in the triangle?
A B C
D E
3. Multiple Choice Use the figure in Exercise1. What is the tangent of in the triangle?
A B C
D E
4. Multiple Choice What is the length of sidea in the triangle?A 12.5
B 14.4
C 20.0
D 21.65
E 34.64
5. Multiple Choice Use the figure in Exercise4. What is the length of side c in the triangle?A 12.5 B 14.4 C 20.0
D 34.64 E 21.65
25308
A
ac
B
C
512
1312
1213
125
513
/A
1312
512
125
513
1213
/B
125
1312
513
512
12
13 5
A
B
C
1213
/A 6. Multiple Choice Use the figure in Exercise7. What is the length of the hypotenuse in thetriangle?A 9.58
B 13.27
C 15.92
D 7.22
E 24
7. Multiple Choice What is the length of sideb in the triangle?A 24.26 B 27 C 24
D 9 E 20.78
8. Multi-Step Problem Global positioningsystems are devices that can pin-point alocation on Earth by use of satellite systemsand triangulation. By bouncing your signaloff of two satellites with known coordinates,you can always find your position.
A satellite is 1500 miles directly above youand a second is 700 miles from the firstsatellite. If you are facing due east, thesecond satellite is at an angle of from thehorizon. Assume the two satellites and yourposition form a right triangle.
a. Draw a diagram of the situation.
b. Find the distance between you and thesecond satellite.
c. Critical Thinking Can you always use thePythagorean theorem to solve a globalpositioning problem? Explain.
608
12
308A
b c
BC
TEST TAKING STRATEGY Read all of the answer choices before deciding which is the
correct one.
Standardized Test PracticeFor use with pages 752–757
12.7LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apte
r 1
2GA QCC: 30, 31
GHSGT: 19, 22, 23, 24,40
Algebra 1 93Georgia Standardized Test Practice Workbook
1. Multiple Choice The basic axiom of algebra
represented by where x is any real
number not equal to zero is
A commutative property of multiplication
B associative property of multiplication
C identity property of multiplication
D inverse property of multiplication
E substitution property of equality
2. Multiple Choice The basic axiom of algebrarepresented by where xand y are real numbers, is A closure property of multiplication
B commutative property of multiplication
C associative property of multiplication
D distributive property of multiplication
E associative property of addition
3. Multiple Choice The basic axiom of algebrarepresented by where x andy are real numbers, is A closure property of multiplication
B commutative property of multiplication
C associative property of multiplication
D distributive property of multiplication
E identity property of multiplication
4. Multiple Choice The basic axiom of algebrarepresented by is
A closure property of addition
B inverse property of addition
C identity property of addition
D commutative property of addition
E associative property of addition
____? .s1 1 2d 1 3 5 1 1 s2 1 3d
____? .s12xdy 5 12sxyd,
____? .7sx 1 yd 5 7x 1 7y,
____? .
x11x2 5 1
Multiple Choice In Exercises 5–10, list thecorrect axiom for the problem below using thechoices A–E. You may use a choice more thanonce.
A Definition of subtraction
B Distributive property of multiplication
C Distributive property of addition
D Associative property of multiplication
E Substitution property of equality
For all real numbers x and y, and where then
Prove:
5.
6.
7.
8.
9.
10.
11. Multi-Step Problem Use the basic axiomsof algebra to prove that if then
Use the two column format shown.
Statement Reason
1. Given
2. _________
3. _________
4. _________
5. _________
6. _________
7. _________
8. _________
9. _________x 5 3
x 5 6 ? 12
1sxd 5 6 ? 12
12 ? 2x 5 6 ? 1
2
2x 5 6
2x 5 11 1 s25d
2x 1 0 5 11 1 s25d
2x 1 5 1 s25d 5 11 1 s25d
2x 1 5 5 11
x 5 3.2x 1 5 5 11,
5 4x 2 5y
5 5x 2 5y 2 x
5 5x 1 s25yd 2 x
5 5x 1 5s2yd 2 x
5 5fx 1 s2ydg 2 x
5sx 2 yd 2 z 5 5sx 2 yd 2 x
5sx 2 yd 2 z 5 4x 2 5y
5sx 2 yd 2 z 5 4x 2 5y.z 5 x,
TEST TAKING STRATEGY As soon as the testing begins, start working. Keep moving
and stay focused on the test.
Standardized Test PracticeFor use with pages 758–764
12.8LESSON
Copyright © McDougal Littell Inc. All rights reserved.
Ch
apter 1
2GHSGT: 3
94 Algebra 1Georgia Standardized Test Practice Workbook
Georgia End-of-Course Practice TestFor use after Chapters 1–12
Copyright © McDougal Littell Inc. All rights reserved.
9. Multiple Choice Find the slope of the linepassing through the points and
A 0 B C
D E
10. Multiple Choice What is an equation of aline perpendicular to
A B
C D
E
11. Multiple Choice What is the standard formof an equation that passes through the points
and
A
B
C
D
E
12. Multiple Choice What is the mean of theset of numbers: 5, 8, 11, 3, 14, 1, 2?
A 6.3 B 5.8 C 7.3
D 8.1 E 9.3
13. Multiple Choice What is the solution of theinequality
A B
C D
E
14. Multiple Choice If andthen ____? .
A 1 B 3 C 10
D 0 E 5
x 57x 2 2y 5 1y 5 4x 2 2
2103 ≤ x ≤ 2
73
2103 ≥ x ≥ 2
733 ≥ x ≥ 4
23 ≥ x ≥ 2423 ≤ x ≤ 24
8 ≤ 23x 1 1 ≤ 11?
11y 1 3x 5 130
11y 2 3x 5 2118
11y 1 3x 5 2130
11y 2 3x 5 130
11y 1 3x 5 118
(3, 11d?s14, 8d
y 5 213 x 1 5
y 5 23x 2 8y 5 213 x 1 2
y 513 x 1
15y 5 3x 1 6
y 513 x 2 5?
232
32
223
23
(11, 2d.s5, 22d
1. Multiple Choice Evaluate the expressionwhen and
A 12 B 0 C
D 24 E
2. Multiple Choice Simplify
A B
C D
E
Quantitative Comparison In Exercises 3–6,choose the statement below that is true about thegiven quantities.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the given information.
3.
4.
5.
6.
7. Multiple Choice There are 5 yellow golfballs, 3 red golf balls, and 10 white golf ballsin a bag. What are the odds of randomlychoosing a yellow golf ball?
A B C
D E
8. Multiple Choice What is the length of arectangular container if its volume is 336cubic inches? Its height is 6 inches and itswidth is 8 inches.
A 6 in. B 8 in. C 5 in.
D 7 in. E 3 in.
sHint: V 5 lwhd
185
135
318
518
513
4x2 2 8x
4x2 1 8x4x2 2 2x 2 2
4x2 2 4x2x2 2 8x
3xsx 2 2d 2 2x 1 x2.
224
212
y 5 22.x 5 2x2 2 3y2 1 8
Column A Column B2x 2 5 5 3x 2 812x 2 3 5 4
15 x 5 215215 5
x5
The slope of The y-intercept ofy 5
12 x 2
12y 5
12 x 2
12
7x 1 2s2x 1 6d 5 312 x 1 |23| 5 7
Algebra 1 95Georgia Standardized Test Practice Workbook
Georgia End-of-Course Practice TestFor use after Chapters 1–12
Copyright © McDougal Littell Inc. All rights reserved.
15. Multiple Choice Use the substitutionmethod to solve the system of linear equations.
A B
C D E
16. Multiple Choice Solve the system of linearequations using linear combinations.
A B C
D E
17. Multiple Choice Choose the system oflinear inequalities represented by the graph.
A B
C D
E None of the above
18. Multiple Choice Simplify the equation
A B C
D Ey3
4x44y3x4
y4x4
y3
4x2
x2y3
4
5x2y23
8x3y?
4x22y3
10xy24 .
y ≤ 232 x 2 1y ≥ 2
32 x 2 1
y ≥ 12 x 1 2y ≥ 1
2 x 1 2
y ≤ 232 x 2 1y ≥ 2
32 x 2 1
y ≤ 12 x 1 2y ≤ 1
2 x 1 2
y
x3121
3
1
21
23
23
s0, 4ds4, 22ds2, 4ds7, 3ds22, 4d
3x 1 2y 5 8
5x 2 3y 5 26
s23, 3ds2, 2ds22, 5d
s4, 210ds21, 8d
y 5 252 x
3x 1 4y 5 14
Quantitative Comparison In Exercises 19–21,choose the statement that is true about the givenquantity.
A The value of column A is greater.
B The value of column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the information given.
19.
20.
21.
22. Multiple Choice You deposit $1200 into asavings account that pays 7% interestcompounded yearly. How much money is inthe account after 8 years assuming you madeno additional investments or withdrawals?(Hint:
A $1872 B $2056.59
C $2117.86 D $2061.82
E $8370.91
23. Multiple Choice Which is the simplified
form of
A B
C D
E220!2
4
212!324
215!24
2!102
25!12
2!45 ? !1524!6
?
I 5 Prtd
Column A Column B
when x 5 2s2xd2sx2d3
when x 5 2s7x3d2
s32d23 s1
2d2s13d22
when t 5 2y 5 14s9
7dt
when t 5 2y 5 6s1.5dt
Quantitative Comparison In Exercises 31 and32, add the solutions of the equations. Choose thestatement below that is true about the givennumber.
A The solution of column A is greater.
B The solution of column B is greater.
C The solutions are equal.
D The relationship cannot be determinedfrom the information given.
31.
32.
33. Multiple Choice Which of the following isthe complete factorization of
A
B
C
D
E
Quantitative Comparison In Exercises 34–36,choose the statement below that is true about thegiven number.
A The value in column A is greater.
B The value in column B is greater.
C The two values are equal.
D The relationship cannot be determinedfrom the information given.
34.
35.
36.
s3x 1 3ds2x2 2 7xd3xs2x 1 1dsx 2 7d3xs2x 1 7dsx 2 1d3xsx 1 7ds2x 2 1ds3x2 1 7ds2x 2 3d
6x3 1 39x2 2 21x?
Column A Column B
3x5
5174
59
52x25
15% of 120 is x 85 of 290% is x
x 1 218
5x8
2x 2 315
5x 1 6
12
Column A Column B
9x2 2 36 5 0x2 223 x 1
19 5 0
x2 1 24 5 210xx2 2 8x 2 24 5 20
96 Algebra 1Georgia Standardized Test Practice Workbook
Georgia End-of-Course Practice TestFor use after Chapters 1–12
Copyright © McDougal Littell Inc. All rights reserved.
24. Multiple Choice Evaluate when
A B
C D
E undefined
25. Multiple Choice What is the vertex of thegraph of the equation
A B
C D
E
26. Multiple Choice What are the solutions of
A B 2, 25
C D
E
27. Multiple Choice Use the quadratic formulato find a solution for
A B 6 C
D E
28. Multiple Choice Use the discriminant todetermine the number of solutions of theequation
A 1 B 2 C 3
D Infinitely Many E None
29. Multiple Choice Which ordered pair is asolution of the inequality
A B C
D E
30. Multiple Choice Which of the following isequal to
A B
C D
E x2 2 4x 2 21
x2 2 10x 1 4x2 1 10x 2 21
x2 1 10 2 21x2 1 4x 2 21
sx 1 7dsx 2 3d?
s22, 4ds0, 222ds2, 6ds23, 17ds21, 29d
y > 2x2 2 9x 2 18?
3x2 2 2x 1 8 5 0.
322
32
263
22x2 2 3x 1 9 5 0.
25, 10
5, 21025, 210
225, 2
y 5 x2 2 5x 2 50?
s2, 0ds12, 22ds0, 212ds22, 216ds24, 218dy 5 x2 1 4x 2 12?
2!232!43
!972!51
c 5 26.b 5 22,a 5 7,!b2 2 4ac
Algebra 1 97Georgia Standardized Test Practice Workbook
Georgia End-of-Course Practice TestFor use after Chapters 1–12
Copyright © McDougal Littell Inc. All rights reserved.
37. Multiple Choice The variables x and y varyinversely. When x is 10,y is 7. If x is 5, then yis
A 21 B 3.5 C 350
D E 14
38. Multiple Choice Simplify the expression.
A B
C D
E
39. Multiple Choice What is divided by
A
B
C
D
E
40. Multiple Choice What is the domain of thefunction
A B
C D
E
41. Multiple Choice The geometric mean of xand 4 is 12. What is the value of x?
A 36 B 38 C 7
D 3 E 9
x ≤ 3
x ≥ 3x ≥ 23
x ≤ 6x ≥ 6
y 5 6 2 !x 2 3?
7x 1 2 15x 2 47x 2 1
7x 1 1
2x 1 2 124
7x 2 1
2x 1 2 128
7x 2 1
2x 1 1 13x 2 67x 2 1
7x 2 1?14x2 1 12x 2 6
30x2 1 2x 2 4xsx 1 2dsx 2 2d
x 1 1x2
30x3 1 2x 1 415x3
15x2 1 x 1 115x3
30x2 1 2x 1 2xsx 1 2d2
1 30x2
x 1 21
2xx22 4
15x3 2 30x2
x2 2 4
27
? .
42. Multiple Choice Simplify
A B
C D
E
43. Multiple Choice What term should beadded to so that the result is a perfectsquare trinomial?
A B C
D E
44. Multiple Choice What is the length of themissing side of the triangle?
A 4
B 8
C 16
D 5
E 24
45. Multiple Choice What is the distancebetween and
A 6.1 B 9.2 C 8.1
D 9.5 E 10.6
46. Multiple Choice What is the length of sidea in the triangle?
A 45
B 6
C 7
D 8
E 9
a
458
7 2
s21, 4d?s7, 23d
x
16 8 5
13
19
219
43
49
x2 223 x
18 1 !3
32 2 16!318!3 1 3
11
32 1 16!311
32 1 16!3
162 2 !3
ANSWERS
Algebra 1 A1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
Chapter 1Lesson 1.1 1. D 2. C 3. A 4. E 5. E
6. C 7. A 8. B 9. B 10. B 11. D
12. A 13. B
Lesson 1.2 1. E 2. B 3. B 4. A 5. E
6. D 7. D 8. C 9. C 10. a.
b. 89.76 gallons c. 67.32 gallons d. Yes
Lesson 1.3 1. E 2. D 3. C 4. A 5. E
6. B 7. B 8. B 9. E 10. A 11. C
12. B
Lesson 1.4 1. B 2. C 3. B 4. A 5. D
6. C 7. E 8. A 9. D 10. B
11. a. b. is constantsavings c. 17.5 weeks d. 23.3 weeks
Lesson 1.5 1. D 2. B 3. B 4. A 5. E
6. C 7. E 8. C 9. D 10. B 11. A
Lesson 1.6 1. A 2. D 3. C 4. C 5. E
6. B 7. A 8. C
Lesson 1.7 1. A 2. C 3. C 4. E 5. B
6. a. b. c. 860
d. 950
Chapter 2Lesson 2.1 1. B 2. D 3. E 4. E 5. A
6. E 7. A 8. D 9. C 10. B 11. C
12. D
Lesson 2.2 1. C 2. D 3. C 4. A 5. C
6. D 7. E 8. D 9. B 10. B 11. A
12. C
Lesson 2.3 1. B 2. C 3. D 4. B 5. D
6. D 7. A 8. E 9. B 10. C
11. a. b. a decrease in birdsspotted c. an increase in birds spotted
22, 11, 22, 211
1.25x 2 75 5 p1.25x 5 p
15020w 1 150 5 500
12 ft3
Lesson 2.4 1. C 2. B 3. C 4. A 5. C
6. A 7. B 8. A 9. A
Lesson 2.5 1. A 2. D 3. B 4. A 5. A
6. A 7. C 8. E 9. C
10. a. b. $39 c. 25 hours
Lesson 2.6 1. B 2. A 3. E 4. D 5. D
6. C 7. B 8. B 9. a. C b. 5.2 hours
Lesson 2.7 1. B 2. C 3. A 4. B 5. D
6. D 7. A 8. B 9. A 10. B 11. A
12. A 13. A
Lesson 2.8 1. C 2. B 3. C 4. D 5. A
6. C 7. E 8. C 9. B 10. B
Chapter 3Lesson 3.1 1. B 2. B 3. C 4. D 5. A
6. E 7. D 8. C 9. A 10. B 11. A
12. B 13. D 14. A
Lesson 3.2 1. C 2. D 3. C 4. A 5. A
6. B 7. E 8. D 9. A 10. C 11. A
Lesson 3.3 1. B 2. C 3. A 4. A 5. D
6. E 7. D 8. B 9. C 10. C 11. B
12. A 13. D
Lesson 3.4 1. C 2. B 3. A 4. E 5. B
6. B 7. C 8. D 9. D 10. A 11. C
12. A
Lesson 3.5 1. A 2. B 3. C 4. E 5. D
6. D 7. a.
b. 6.2 mi/hr c. 20 miles d. 6.7 mi/hr
Lesson 3.6 1. C 2. E 3. E 4. D 5. B
6. A 7. B 8. B 9. C
Skier 1
Skier 2
2.5 hours
3.25 hoursSki lodge
75 2 3h 5 m
An
swers
Chapter 3 continued
10. a. b. 82.7
c. 52.7
Lesson 3.7 1. E 2. B 3. A 4. C 5. C
6. E 7. D 8. B 9. B 10. C 11. A
Lesson 3.8 1. D 2. B 3. B 4. C 5. D
6. A 7. D 8. E
9. a.
b. 40 c. reject
Chapter 4Lesson 4.1 1. B 2. A 3. E 4. C 5. B
6. D 7. B
8.
a. b. slightly increasing
c. rapidly increasing
Lesson 4.2 1. D 2. B 3. C 4. A 5. C
6. C 7. A 8. E 9. a.
b.
c. d. 28
Lesson 4.3 1. B 2. E 3. E 4. C 5. B
6. E 7. B 8. D 9. B 10. A
Lesson 4.4 1. C 2. D 3. A 4. B 5. A
6. E 7. C 8. B 9. C 10. B 11. A
005
10152025
3035
42 8 106 12 14 16 18
Hours on phone with freinds
Ho
urs
usin
g In
tern
et
x
y
Phone useage
y 5 22x 1 36
00
2
46
810
12
1 2 3 4 5Years since 1992
Nu
mb
er
of
cu
sto
mers
(th
ou
san
ds)
Snowboarders vs.
Skiers
Snowboarders
Skiers
x
y
Brown in SampleTotal Sample
5Brown in Ship.
Total Ship.
29.95 1 0.32sx 2 30d 5 46.82
12. D
Lesson 4.5 1. A 2. B 3. D 4. E 5. D
6. C 7. C 8. B 9. A 10. C
Lesson 4.6 1. C 2. B 3. C 4. D 5. C
6. D 7. C 8. E 9. B 10. C 11. A
Lesson 4.7 1. D 2. E 3. D 4. C 5. B
6. A 7. a. Model 1:
b. Model 2:
Lesson 4.8 1. C 2. A 3. D 4. D 5. E
6. B 7. C 8. B 9. A 10. A
Chapter 5Lesson 5.1 1. B 2. E 3. A 4. C 5. B
6. B 7. B 8. C 9. A
Lesson 5.2 1. C 2. B 3. D 4. C 5. B
6. E 7. A 8. B 9. A
Lesson 5.3 1. D 2. A 3. C 4. E 5. B
6. C 7. B
8. a.
b. and perpendicular slopes
Lesson 5.4 1. E 2. C 3. B 4. A 5. D
6. C
7.
a. b. Answers may vary.Sample answer:
c. about $18.80 perpound
Lesson 5.5 1. D 2. B 3. A 4. B 5. E
6. C 7. B 8. A 9. B
Lesson 5.6 1. D 2. E 3. B 4. C 5. A
6. C 7. B 8. A 9. B 10. D
y 565 x 1 8
008
910
11
12131415
16
1 2 3 4 5 6 x
y
Years since 1992
Large Gulf Shrimp
Pri
ce p
er
po
un
d (
do
llars
)
BC;AB
y 552 x 1
112 ; y 5 2
25 x 1
135 ; y 5
37 x 2
57
350,000 5 24,750x 1 220,000
350,000 5 13,850x 1 220,000
A2 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
An
swer
s
x 5 10 15y 26 16 6
Copyright © McDougal Littell Inc. All rights reserved.
Chapter 5 continued
Lesson 5.7 1. D 2. B 3. C 4. D
5. a. b.
c. d. 15.75 hrs;extrapolation e. 16.25 hrs; interpolation
Chapter 6Lesson 6.1 1. B 2. C 3. C 4. C 5. D
6. E 7. A 8. B 9. A 10. C
Lesson 6.2 1. B 2. A 3. A 4. D 5. C
6. C 7. a. b. c.
Lesson 6.3 1. A 2. D 3. C 4. D 5. B
6. B 7. A 8. D 9. C
Lesson 6.4 1. B 2. D 3. A 4. A 5. E
6. C 7. D 8. B 9. A 10. C
Lesson 6.5 1. D 2. A 3. B 4. C 5. B
6. E 7. a.
b. c. 30 or less
d. No, you can’t orderfractional parts of ameal.
Lesson 6.6 1. C 2. E 3. C 4. C 5. D
6. E 7. B 8. A 9. C 10. B 11. D
Lesson 6.7 1. B 2. A 3. A 4. C 5. E
6. A 7. C 8. a.
b. c. 22; 15.59 10.5 15.5 18.5 22
16 19 22 25.5 27
00
10
2030
4050
10 20 30 40 50 60 x
y
Fish dinners
Ste
ak d
inn
ers
Dinners Purchased
8.5x 1 10.5y ≤ 485
x ≥ 7x ≥ 165x ≥ 660
y 5 234 t 1 20; y 5
54 t 1 2
003
69
12
15
2 4 6 8 t
y
Years since 1990
Internet
Ho
urs
00
12
1416
18
20
2 4 6 8 t
y
Years since 1990
Television
Ho
urs
d. Juice purchases average between 16 and 27units, and milk between 9 and 22. The range forjuice is 11, and for milk it is 13. Juice sold morethan 19 units 75% of days while milk sold lessthan 18.5 units 75% of the days.
Cumulative ReviewChapters 1–6 1. B 2. C 3. A 4. E 5. B
6. A 7. A 8. D 9. C 10. D 11. B
12. E 13. D 14. C 15. C 16. B 17. C
18. B 19. A 20. A 21. E
22. a. b. 3 c. Divide the totalby 1.06 to get the price before tax.23. D
24. E 25. A 26. B 27. D 28. D 29. B
30. C 31. D 32. E 33. B 34. A 35. C
36. A 37. A 38. D 39. B 40. B
41.
a. b.
c. $7.27; interpolation
d. $9.60
42. B 43. C 44. B 45. A 46. C 47. D
48. E 49. A
Chapter 7Lesson 7.1 1. E 2. C 3. B 4. C 5. D
6. D 7. B 8. A 9. D 10. A
Lesson 7.2 1. B 2. C 3. E 4. B 5. A
6. D 7. C 8. A 9. C 10. B
Lesson 7.3 1. B 2. D 3. E 4. C 5. A
6. a. b. 5 mi/h c. 1 mi/h
d. No, not without additional information.
Lesson 7.4 1. B 2. C 3. C 4. E 5. D
6. D 7. A 8. C 9. B
5 2 c 5 45 1 c 5 6
y 513 x 1 5.60
x
y
0 1 2 3 4 5 6 7 80
5.0
5.5
6.0
6.5
7.0
7.5
8.0
8.5
Average Cost of a Large,
One Item Pizza
Years since 1990
Co
st
(do
llars
)
32 1 12sx 2 1d
Algebra 1 A3Georgia Standardized Test Practice Workbook
An
swers
Chapter 7 continued
Lesson 7.5 1. D 2. B 3. A 4. B 5. D
6. B 7. A 8. C 9. B
Lesson 7.6 1. A 2. D 3. B 4. D 5. E6. a. b.
c. Answers may vary.Sample answer: 15 hoursat first job and 10 hours at second job.
Chapter 8Lesson 8.1 1. B 2. C 3. D 4. E 5. A
6. B 7. C 8. D 9. D 10. C 11. B
12. A
Lesson 8.2 1. C 2. B 3. B 4. A 5. E
6. B 7. D 8. D 9. D 10. a. $367.51
b. $500 c. $583.20
Lesson 8.3 1. B 2. E 3. C 4. D 5. A
6. E 7. D 8. D 9. E 10. B 11. A
12. C 13. A
Lesson 8.4 1. A 2. D 3. B 4. D 5. E
6. C 7. B 8. C 9. A 10. A 11. B
12. B
Lesson 8.5 1. C 2. D 3. B 4. B 5. C
6. D 7. a. b. 133,000
c. 37,807 d. Answers may vary. Sampleanswer:It will probably continue to increase, butnot as rapidly.
Lesson 8.6 1. E 2. C 3. C 4. A 5. C
6. D 7. A 8. C 9. A
Chapter 9Lesson 9.1 1. D 2. E 3. D 4. D 5. E
6. A 7. B 8. C 9. A 10. C 11. D
12. B 13. B
y 5 50,000s1.15dt
y ≥ 0x ≥ 05x 1 8y ≥ 150
x
y
00
5
10
15
20
25
30
35
5 10 15 20 25 30 35
x 1 y ≤ 25
Lesson 9.2 1. D 2. C 3. E 4. A 5. D
6. B 7. D 8. D 9. B 10. C 11. A
Lesson 9.3 1. D 2. B 3. B 4. C 5. E
6. C 7. D 8. A 9. A 10. C 11. B
Lesson 9.4 1. D 2. A 3. C 4. B 5. B
6. A 7. C 8. A 9. C 10. E 11. D
Lesson 9.5 1. B 2. E 3. B 4. C 5. B
6. A 7. E 8. B 9. a.
b. about 1.77 sec c. Sample answer: The speedof the ski lift if it is moving when the keys aredropped, the angle that the keys are dropped, andthe wind and weather conditions.
Lesson 9.6 1. B 2. E 3. C 4. C 5. B
6. C 7. C 8. A 9. C 10. B
Lesson 9.7 1. B 2. E 3. A 4. D 5. A
6. a. 4 feet b. 4 feet c. Not if it layed outside of
Lesson 9.8 1. A 2. C 3. B 4. B 5. D
6. E 7. D 8. A 9. C
10. a. b. quadratic
c.
Chapter 10Lesson 10.1 1. E 2. A 3. D 4. B 5. B
6. B 7. a.
b. $111,000 c.
Lesson 10.2 1. D 2. E 3. A 4. E 5. D
6. C 7. A 8. B 9. B 10. A
Lesson 10.3 1. E 2. B 3. D 4. E 5. E
6. B 7. A 8. A 9. B
Lesson 10.4 1. E 2. B 3. A 4. C 5. C
6. D 7. C 8. a. 12 feet b. 6.5 feet
c. 6 people
350 5 21.t2 1 7.5t 1 138
S 5 8.9t2 1 1.2t 1 73
y 5 x2 2 16
y
x93
3
2329
y ≤ x2 2 2x 2 3.
n 5 216t2 1 50
A4 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
An
swer
s
Copyright © McDougal Littell Inc. All rights reserved.
Chapter 10 continued
Lesson 10.5 1. B 2. C 3. E 4. C 5. A
6. D 7. D 8. C 9. A 10. A 11. D
12. A
Lesson 10.6 1. B 2. D 3. C 4. B 5. A
6. C 7. E 8. D
9. a. b. and
c. The correct answer is 1.25 seconds. Time cannot be negative for this problem.
Lesson 10.7 1. D 2. A 3. B 4. C 5. D
6. D 7. A 8. E 9. B 10. B 11. C
Lesson 10.8 1. B 2. C 3. B 4. A 5. C
6. D 7. B 8. E
Chapter 11Lesson 11.1 1. E 2. C 3. A 4. D 5. B
6. C 7. A 8. D 9. B 10. A 11. D
Lesson 11.2 1. B 2. D 3. A 4. E 5. B
6. C 7. E 8. E 9. C 10. A 11. C
12. B 13. C
Lesson 11.3 1. E 2. A 3. D 4. D 5. D
6. B 7. C
8. a.
b. inverse;
c. The first bike is oneand a half times moreexpensive than the second. x and y wouldrelate similarly.
Lesson 11.4 1. D 2. B 3. E 4. D 5. D
6. C 7. B 8. A 9. A 10. B 11. D
Lesson 11.5 1. E 2. B 3. A 4. B 5. D
6. C 7. a.
b. about 56,700 c. about 54,900
200s2000 1 23tds1 1 0.02tds1 2 0.03tds4 1 td
y 51200
xh
p00
100
200
300
400
500
600
2 4 6 8 10 12 14Pay rate
Ho
urs
2154s24t 1 5ds4t 1 4d 5 0
d. The miles driven per person is decreasing; thiscan’t continue indefinitely.
Lesson 11.6 1. D 2. E 3. D 4. B 5. A
6. a.
b. c. about 12.4 hours
d. The smaller plane is traveling at half the speedof the larger plane. At first glance, the trip mightseem to be exactly twice as long, but due to windforce the trip actually takes about 26.7 hours.
Lesson 11.7 1. C 2. B 3. D 4. D 5. B
6. B 7. D 8. B 9. E
Lesson 11.8 1. B 2. B 3. A 4. C 5. E
6. B 7. E 8. A 9. B 10. B
Chapter 12Lesson 12.1 1. A 2. A 3. B 4. A 5. C
6. C 7. C 8. B 9. B
Lesson 12.2 1. D 2. A 3. E 4. B 5. C
6. E 7. B 8. B 9. C
Lesson 12.3 1. D 2. C 3. B 4. A 5. B
6. C 7. E 8. D 9. A 10. C 11. D
12. B 13. A
Lesson 12.4 1. D 2. C 3. B 4. B 5. C
6. B 7. D 8. E 9. C 10. A 11. B
Lesson 12.5 1. C 2. A 3. B 4. B 5. D
6. E 7. D 8. D 9. a.
b.
c. 135.9 mi/h, 241.8 mi/h d. Answers may vary.Sample Answer:The quadratic formula was used.Although this is factorable, there are manycombinations to check.
Lesson 12.6 1. D 2. B 3. A 4. E 5. C
6. C 7. B 8. D 9. D 10. D 11. A
12. C 13. A
2x 2 30
200
x
x, 2x 2 30
2400x 2 6000sx 1 25dsx 2 30d
1200sx 1 25d 1
1200sx 2 30d
Algebra 1 A5Georgia Standardized Test Practice Workbook
An
swers
h 240 120 100
r 5.00 10.00 12.00
Chapter 12 continued
Lesson 12.7 1. C 2. B 3. E 4. D 5. A
6. E 7. E
8. a. b. about 1655
c. No, the triangles will notalways be right triangles.
Lesson 12.8 1. D 2. D 3. C 4. E 5. E
6. A 7. B 8. D 9. A 10. A
11. Reason
1. Given
2. Addition Property of Equality
3. Inverse Property of Addition
4. Identity Property of Addition
5. Substitution
6. Multiplication Property of Equality
7. Inverse Property of multiplication
8. Identity Property of multiplication
9. Substitution
Georgia End-of-Course Practice Test1. B 2. E 3. B 4. A 5. A 6. C
7. A 8. D 9. B 10. D 11. E 12. A
13. E 14. B 15. C 16. D 17. A 18. E
19. B 20. B 21. A 22. D 23. C 24. C
25. B 26. E 27. E 28. E 29. C 30. A
31. A 32. A 33. B 34. A 35. B 36. B
37. E 38. C 39. C 40. D 41. A 42. A
43. D 44. B 45. E 46. C
700
608
1500
A6 Algebra 1Georgia Standardized Test Practice Workbook
Copyright © McDougal Littell Inc. All rights reserved.
An
swer
s