NAME DATE PERIOD 4 Chapter 4 Test, Form 2A · PDF fileChapter 4 57Glencoe Algebra 1 4 SCORE Assessment ... Chapter 4 Test, Form 2A y x O 1. D 2. H 3. D 4. H 5. B 6. G 7. D 8. H 9

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Chapter 4 57 Glencoe Algebra 1

4 SCORE

Ass

essm

entWrite the letter for the correct answer in the blank at the right of each question.

1. What is the slope-intercept form of the equation of a line with a slope of 5 and a y-intercept of -8?

A y = -8x + 5 B y = 8x - 5 C 5x - y = - 8 D y = 5x - 8

2. Which equation is graphed at the right? F 2y - x =10 H 2x - y = 5 G 2x + y = -5 J 2y + x = -5

3. Which is an equation of the line that passes through (2, -5) and (6, 3)?

A y = 1 − 2 x - 6 C y = 2x + 12

B y = 1 − 2 x D y = 2x - 9

4. What is an equation of the line through (0, -3) with slope 2 − 5 ?

F -5x + 2y = 15 H 2x - 5y = 15 G -5x - 2y = -15 J -2x + 5y = 15

5. Which is an equation of the line with slope -3 and a y-intercept of 5? A y = -3(x + 5) B y - 5 = -3x C -3x + y = 5 D y = 5x - 3

6. What is the equation of the line through (-2, -3) with a slope of 0?

F x = -2 G y = -3 H -2x - 3y = 0 J -3x + 2y = 0

7. Find the slope-intercept form of the equation of the line that passes through (-5, 3) and is parallel to 12x - 3y = 10.

A y = -4x - 17 B y = 4x - 13 C y = - 4x + 13 D y = 4x + 23

8. If line q has a slope of - 3 − 8 , what is the slope of any line perpendicular to q?

F - 3 − 8 G 3 −

8 H 8 −

3 J - 8 −

3

9. A line of fit might be defined as A a line that connects all the data points. B a line that might best estimate the data and be used for predicting values. C a vertical line halfway through the data. D a line that has a slope greater than 1.

10. A scatter plot of data comparing the number of years since Holbrook High School introduced a math club and the number of students participating contains the ordered pairs (3, 19) and (8, 42). Which is the slope-intercept form of an equation for the line of fit?

F y = 4.6x + 5.2 G y = 3x + 1 H y = 5.2x + 4.6 J y = 0.22x - 1.13

11. Use the equation from Question 10 to estimate the number of students who will be in the math club during the 15th year.

A 53 B 61 C 65 D 74

Chapter 4 Test, Form 2A

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4

For Questions 12–14, use the scatter plot shown.

12. Which data are shown by the scatter plot? F (1995, 5.5), (1997, 6.1), (2004, 7.6) G (1995, 5.5), (2000, 6.1), (2004, 7.6) H (1995, 5.5), (2000, 6.6), (2005, 8.0) J (1995, 5.5), (1997, 6.6), (2005, 8.0)

13. Which is true about the data? A The slope of a best-fit line would be negative. B There is a positive correlation. C There is no correlation. D There is a negative correlation.

14. Based on the data in the scatter plot, what would you expect the y-value to be for x = 2010?

F between 7 and 8 H between 5 and 7 G higher than 8 J impossible to tell

15. To calculate the charge for a load of bricks, including delivery, the Redstone Brick Co. uses the equation C = 0.42b + 25, where C is the charge and b is the number of bricks. What is the delivery fee per load?

A $42 C $25 B $67 D It depends on the number of bricks

For Questions 16 and 17, use the table shown.

Shots on Goal 22 25 28 29 33

Points Scored 5 7 7 9 8

16. Find the slope of the best-fit line. F -0.561 G 0.283 H 0.631 J 0.794

17. Estimate how many points would be scored if 80 shots were taken on the goal using the best-fit line.

A 18 B 19 C 22 D 24

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}. F {(8, 5), (6, 9), (3, -2), (4, -1)} H {(-1, 4), (-2, 3), (9, 6), (5, 8)} G {(-4, 1), (-3, 2), (-6, -9), (-8, -5)} J {(-1, -2), (9, 5), (4, 3), (6, 8)}

19. If f (x) = 3x - 4, find f -1 (x).

A f -1 (x) = 4x - 3 B f -1 (x) = x + 4 − 3 C f -1 (x) = x - 4 −

3 D f -1 (x) = -4 - 3x

20. If f (x) = 8(5x - 2), find f -1 (x).

F f -1 (x) = 5x + 2 − 8 G f -1 (x) = 5x - 2 −

8 H f -1 (x) = x - 16 −

40 J f -1 (x) = x + 16 −

40

Bonus What is the y-intercept of a line through (2, 7) and

perpendicular to the graph of y = - 3 − 2 x + 6?

Chapter 4 Test, Form 2A (continued)

0

5

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'95 '00 '05 12. F

13. B

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15. C

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SCORE

Write the letter for the correct answer in the blank at the right of each question.

For Questions 1–6, solve each inequality.

1. -51 ≤ x + 38 A {x � x ≤ -13} B {x � x ≤ 89} C {x � x ≥ -89} D {x � x ≥ -13} 1.

2. m - 3 − 8 > 1 −

2

F = {m | | m > 7 − 8 } G {m | | m < 7 −

8 } H {m | | m < 1 −

8 } J {m | | m > 1 −

8 } 2.

3. t − -2

> 4

A {t | t < -8} B {t | t < -2} C {t | t > 2} D {t | t > -8} 3.

4. -3.5z < 42 F {z | z > 12} G {z | z < 12} H {z | z < -12} J {z | z > -12} 4.

5. 4w - 6 > 6w - 20 A {w | w < 7} B {w | w < 2} C {w | w < -7} D {w | w < -2} 5.

6. 8r - (5r + 4) ≥ -31 F {r | r ≤ -9} G {r | r ≥ -9} H {r | r ≥ 9} J {r | r ≤ 9} 6.

7. The sum of two consecutive integers is at most 3. What is the greatest possible value for the greater integer?

A 5 B 1 C 3 D 2 7.

8. Which of the following is the graph of the solution set of y < -3 or y < 1?

F -1-2-3-4 0 1 2 43

H -1-2-3-4 0 1 2 43

G -1-2-3-4 0 1 2 43

J -1-2-3-4 0 1 2 43

8.

9. Which compound inequality has the solution set shown in the graph?

A -1 < n < 2 C n ≥ -1 or n < 2 B -1 ≤ n < 2 D -1 < n ≤ 2 9.

10. Which of the following is the solution set of -4 < 3t + 5 ≤ 20? F {t |-3 < t ≤ 5} H {t | t < -3} G {t | t < -3 and t ≤ 5} J {t | t < -3 or t ≥ 5} 10.

11. Which of the following is the graph of the solution set of t - 4 ≥ 4t + 8 or 3t > 14 - 4t?

A -1-2-3-4-5 0 1 2 3

C -1-2-3-4-5 0 1 2 3

B -1-2-3-4-5 0 1 2 3

D -1-2-3-4-5 0 1 2 3

11. C

-1-2-3-4 0 1 2 43

F

D

H

D

G

A

J

A

F

C

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12. Which inequality corrresponds to the graph shown?

C05-003A-890499

-2 -1 0 1 2 3 4 5 6

F � x - 2 � < 3 H � x - 2 � ≥ 3 G � x - 2 � > 3 J � x - 2 � ≤ 3

13. Which of the following is the solution set of | 2x - 3 | > 4? A {x � x < -0.5 or x > 3.5} C {x � -0.5 < x < 3.5}

B {x � x < -1 or x > 7} D {x � x < 0.5 or x > 3.5}

14. Pete’s grade on a test was within 5 points of his class average of 94. What is his range of grades on the test?F g ≤ 89 or g ≥ 99 H g ≥ 89 or g ≥ 99

G 89 ≤ g ≤ 99 J g < 99 or g < 89

15. Which ordered pair is part of the solution set of the inequality 12 + y ≤ -3x? A (-16, 3) B (1, 4) C (4, -1) D (3, -16)

16. Which inequality is graphed at the right? F y < 2x + 1 H y < 1 −

2 x + 1

G y > 2x + 1 J y > 1 − 2 x + 1

17. Taka bought a new coat and new shoes. He spent $122. Which inequality represents this situation if x represents the cost of a coat and y represents the cost of the shoes he buys?

A 122 ≤ y + x B y ≤ 122 + x C y - x ≥ 122 D y ≤ 122 - x

18. Determine which of the ordered pairs are a part of the solution of y + 1 > 1 −

2 x + 3.

F (2, 3) G (-4, 0) H (1, 2) J (-3, 1)

19. Which inequality has a solution set of {x � x > -3 or x < -4}? A � 2x + 7 � < 1 C � 2x + 7 � > -1 B � 2x + 7 � > 1 D � 2x + 7 � > -1

20. Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for $1.50 each. Which point represents a reasonable number of cards sold?

F (20, 10) G (15, 10) H (18, 20) J (10, 30)

Bonus Solve 6(|n| - 3) - 4 |n| + 5 ≤ 11.

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{n � -12 ≤ n ≤ 12}B:

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SCORE


Use the graph for Questions 1–4.For Questions 1 and 2, determine how many solutions exist for each system of equations.

A no solutionB one solutionC infinitely many solutionsD cannot be determined

1. y = 3x + 3 2. x + 2y = -13x - y = 2 2x + 3y = 0

3. The solution to which system of equations has an x value of 3? F x + 2y = -1 G 3x - y = 2 H y = 3x + 3 J 2x + 3y = 0

y = 3x + 3 x + 2y = -1 2x + 3y = 0 x + 2y = -1

4. The solution to which system of equations has a y value of 0? A x + 2y = -1 B 3x - y = 2 C y = 3x + 3 D 2x + 3y = 0

y = 3x + 3 x + 2y = -1 2x + 3y = 0 x + 2y = -1

5. When solving the system of equations, x + 2y = 15which expression could be substituted 5x + y = 21for x in the second equation?

F 15 - 2y G 21 - 5x H 15 - x − 2 J

21- 2y −

5

6. If x = 2y + 3 and 4x - 5y = 9, what is the value of y? A 2 B 1 C -1 D -2

7. Use elimination to solve the system x + 7y = 16 and 3x - 7y = 4 for x. F 3 G 4 H 5 J -6

8. Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x. A 5 B -3 C 10 D -40

9. Use elimination to solve the system 8x - 7y = 5 and 3x - 5y = 9 for y. F -2 G 8 H -3 J -1

10. Use elimination to solve the system 4x + 6y = 10 and 2x + 5y = 1 for x.

A 11 B 5 1 − 2 C -2 D - 1 −

2

11. The substitution method should be used to solve which system of equations?

F 4x + 3y = 6 G 2x + 5y = 1 H 6x + 2y = 1 J y = 3x + 15x - 3y = 2 2x - 3y = 4 3x + 4y = 7 2x + 4y = 5

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2x + 3y = 0

x + 2y = -1

y = 3x + 3

y = 3x - 2

3x - y = 2

6 Chapter 6 Test, Form 2A

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6 Chapter 6 Test, Form 2A (continued)

12.

13.

14.

15.

16.

17.

12. Use substitution to solve the system x + 2y = 1 and 2x + 5y = 3.A (-1, 1) B (1, -1) C (-5, 3) D (-1, -1)

For Questions 13 and 14, solve the system and find values of y. 13. 3x - 5y = -35 F 4 G 4 −

5 H -4 J - 4 −

5

2x - 5y = -30

14. 3x + 4y = -30 A -6 B 6 C -12 D 12 2x - 5y = 72

15. Coffee Cafe makes 90 pounds of coffee that costs $6 per pound. The types of coffee used to make this mixture cost $7 per pound and $4 per pound. How many pounds of the $7-per-pound coffee should be used in this mixture?

F 30 lb G 40 lb H 50 lb J 60 lb

16. Your teacher is giving a test that has 5 more four-point questions than six-point questions. The test is worth 120 points. Which system represents this information? A x + 5 = y B x + y = 5 C x - y = 5 D x - y = 5

4x + 6y = 120 6x + 4y =120 6x + 4y = 120 4x + 6y = 120

17. What system of inequalities is represented in the graph?

F y < -2x + 1 H y < -2x + 1y ≤ 1 −

5 x - 1 y ≥ 1 −

5 x - 1

G y > -2x + 1 J y > -2x + 1y ≤ 1 −

5 x - 1 y ≥ 1 −

5 x - 1

Bonus Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?

J

J

C

F

A

(-7, -3 1 − 2 )

B: C06-05A-890500

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7 SCORE


1. Simplify (x3)8.

A x24 B x11 C 8x24 D 8x11

2. Simplify (-2hk)4(4h3k5)2.

F 2h24k40 G -64h9k11 H - 256h10k14 J 256h10k14

3. Simplify 36 b 4 c 2 − 9 b -1 c 5

. Assume the denominator is not equal to zero.

A 27 b 4 − c 3

B 4 b 4 − c 3

C 27 b 3 − c 3

D 4 b 5 − c 3

4. Simplify (3 y 4 n 6 ) 2

− ( y 2 n -3 ) 4

. Assume the denominator is not equal to zero.

F 9 − y 16

G 9 − n 24

H 9y16 J 9n24

5. Which monomial represents the number of square units in the area of a circle with radius 4x3 units?

A 16πx6 B 8πx6 C 16πx9 D 8πx5

6. Express 46,100,000 in scientific notation.

F 4.61 × 107 G 4.61 × 106 H 4.61 × 105 J 4.61 × 108

7. Evaluate 7 × 1 0 4 − 1.4 × 1 0 -5

.

A 5 × 109 B 5 × 10-20 C 5 × 10-1 D 5 × 101

8. ATTENDANCE The total attendance for a professional baseball team this season was 3.24 × 1 0 6 and two years ago was 2.43 × 1 0 6 . About how many times as large was this season’s attendance as attendance two years ago?

F 0.8 G 0.9 H 1.1 J 1.3

9. Write 10 y 1 − 2 in radical form.

A √ �� 10y B 10 √ � y C 10 √ �� 10y D y √ �� 10

10. Evaluate 8 1 3 − 4 .

F 3 G 9 H 27 J 243

11. Solve 5 x - 2 = 125.

A 2 B 3 C 4 D 5

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2.

3.

4.

5.

6.

7.

8.

9.

10.

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7

12. Which is the equation for the nth term of the geometric sequence -4, 8, -16, ... ?

F a n = - 4 · 2 n-1 H a n = -4 . (-2) n-1 G a n = -2 . (-4) n-1 J a n = - 2 · 4 n

13. Which equation represents exponential growth? A y = 5( 0.84) x B y = 5x C y = 0.3x3 D y = 5 (1.06) x

14. Which equation corresponds to the graph shown? F y = ( 3) x + 1 H y = 2( 3 x ) G y = 2( 3 x + 1) J y = (2 . 3) x + 1

15. A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.0 5) x , where x represents the number of training cycles completed. How much will she lift after 4 training cycles?

A 365 lb B 383 lb C 378 lb D 402 lb

16. BIOLOGY A certain fast-growing bacteria increases 6% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later?

F 172 G 201 H 48 J 190

17. POPULATION A city’s population is about 954,000 and is decreasing at an annual rate of 0.1%. Predict the population in 50 years.

A 577,176 B 906,300 C 1,002,888 D 907,450

18. Find the third term of the sequence in which a 1 = 7 and a n = -2 a n - 1 + 11, if n ≥ 2.

F -23 G -3 H 5 J 17

19. Find an explicit formula for a 1 = -4, a n = a n - 1 + 9, n ≥ 2. A a n = 9n - 13 C a n = 9n - 4 B a n = n + 9 D a n = -4n + 9

20. Find a recursive formula for the arithmetic sequence 24, 32, 40, 48, ... . F a 1 = 24, a n = 8 a n - 1 , n ≥ 2 H a 1 = 24, a n = 4 −

3 a n - 1 , n ≥ 2

G a 1 = 24, a n = 1 − 2 a n - 1 + 20, n ≥ 2 J a 1 = 24, a n = a n - 1 + 8, n ≥ 2

Bonus Simplify 7 x - 3 − 7 3x - 1

.

H


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B: 7-2x - 2

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8 SCORE

Write the letter for the correct answer in the blank at the right of each question. 1. Write 4x3 - 6x + 2x5 + 3 in standard form.

A 3 - 6x + 4x3 + 2x5 C 2x5 + 4x3 - 6x + 3

B 4x3 + 3 + 2x5 - 6x D -6x + 4x3 + 3 + 2x5

2. Find (9t2 + 4t - 6) - (t2 - 2t + 4).

F 8t2 + 6t - 10 G 8t2 + 2t - 2 H 9t2 + 6t - 2 J 9t2 + 6t - 10

3. Simplify 2a2(5a - 6) - 5a(a2 - 3a + 4) - 7(a - 5).

A 5a3 + 3a2 - 27a + 35 C 5a3 - 27a2 + 13a - 35

B 5a3 - 10a - 7 D none of these

4. Factor 24x2y - 66xy2 + 54x2y2 completely.

F 2xy(12x - 33y + 27xy) H (4x2 + 6y)(6x - 9y2)

G 6x2y2(4y - 11x + 9) J 6xy(4x - 11y + 9xy)

5. Each side of a square x units long is decreased by 9 units. Which expressionrepresents the area of the new square in square units?

A x2 - 81 C x2 - 18x + 81

B x2 - 18x + 18 D 2x - 18

6. Solve (3w + 4)(2w - 7) = 0.

F {- 3 − 4 , 2 −

7 } G { 3 −

4 , - 2 −

7 } H {- 4 −

3 , 7 −

2 } J { 4 −

3 , - 7 −

2 }

7. Factor x2 - 10x + 9.

A (x - 1)(x - 9) C (x - 1)(x + 9)

B (x + 1)(x + 9) D (x + 1)(x - 9)

8. Find (3y - 4)(2y2 + y - 1).

F 6y3 - 5y2 - 7y - 4 H 6y3 - 5y2 - 7y + 4

G 6y3 - 7y2 - 7y + 4 J 6y3 - 5y2 + 7y + 4

9. Solve y2 = 13y - 42.

A {-6, -7} B {6, 7} C {-6, 7} D {6, -7}

10. Find (4a2 + b)2.

F 16a4 + b2 H 8a4 + b2

G 16a4 + 8a2b + b2 J 4a4 + 8a2b + b2

11. Factor 5x2 - 13x + 6. A (x + 3)(5x - 2) C (x + 2)(5x + 3) B (x - 2)(5x - 3) D (x - 3)(5x + 2)


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8

12. Solve 7x2 - 20x = 3.

F {- 1 − 7 , 3} G { 1 −

7 , -3} H {- 1 −

7 , -3} J { 1 −

7 , 3}

13. Factor 121r2 - 64t2.

A (11r + 8t)(11r - 8t) C (11r + 8t)(11r + 8t)

B (11r - 8t)(11r - 8t) D prime

14. Solve 6(n - 11) = 12 + 4(2n - 3).

F -11 G 11 H -33 J 33

15. Solve 5x2 - 3x = (7x2 + 5x) - (2x2 + 16).

A 2 B -2 C 8 D -8

16. Which binomial is a factor of 6x2 + 48x + 96?

F x + 4 G 3x + 8 H 3x + 16 J 6x + 16

17. If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the length x of a side of the square.

A 16 − 9 in. B 4 −

3 in. C 3 −

4 in. D 8 −

3 in.

18. SOCCER Julian kicked a soccer ball into the air with an initial upward velocity of 40 feet per second. The height h in feet of the ball above the ground can be modeled by h = -16t2 + 40t, where t is the time in seconds after Julian kicked the ball. Find the time it takes the ball to reach 25 feet above the ground.

F 2 1 − 2 s G 15 −

16 s H 1 1 −

3 s J 1 1 −

4 s

19. The product of two consecutive odd integers is 143. Find their sum.

A -20 or 20 B -28 or 28 C -26 or 26 D -24 or 24

20. The length of a rectangle is twice the width. The area is 72 square centimeters. What is the length?

F 48 cm G 24 cm H 12 cm J 6 cm

Bonus Find the value of c that will make 9x2 + 30x + c a perfect square trinomial.


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NAME _____________________________________________ DATE ____________________________ PERIOD _____________


Chapter 9 Test, Form 2A SCORE ______________


1. Consider the equation y = 𝑥2 + 5x – 6. Determine whether the function has a maximum

or minimum value. State the maximum of minimum value. What are the domain and

range of the function?

A min.; (0, 0) C min.; (–2.5, –12.25)

D: {all real numbers} D: {all real numbers}

R: {all real numbers} R: {y | y ≥ –12.25}

B max.; (0, 0) D max.; (2.5, –12.25)

D: {all real numbers} D: x | x ≤ 2.5

R: {y | y ≤ 0} R: {all real numbers}

2. Which equation corresponds to the graph shown?

F y = 𝑥2 + 7x – 12 H y = 𝑥2 + 5x + 12

G y = 𝑥2 – x – 12 J y = 𝑥2 + 12x – 1

3. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of

y = 2𝑥2 – 12x + 6.

A x = –3; (–3, 60) C x = –3; (–3, 78)

B x = 3; (3, –12) D x = 3; (3, 6)

4. Find the coordinates of the vertex of the graph of y = –2𝑥2 – 8. Identify the vertex as a

maximum or a minimum.

F (–2, –16); minimum H (2, –16); maximum

G (–2, 8); maximum J (0, –8); maximum

5. What are the root(s) of the quadratic equation whose

related function is graphed at the right?

A 2 C 0, 4

B 3 D –4, 0

6. One root of the quadratic equation whose related

function is graphed lies between which two

consecutive integers?

F –3 and –2 H –2 and –1

G 2 and 3 J 1 and 2

7. How is the graph of g(x) = 𝑥2 – 3 related to the graph of f(x) = 𝑥2?

A translated down 3 units C translated right 3 units

B translated up 3 units D translated left 3 units

8. Find the value of c that makes 𝑥2 + 10x + c a perfect square trinomial.

F –25 G –5 H 10 J 25

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9. What value of c makes 3𝑥2 + 24x + c contain a perfect square trinomial?

A 144 B 16 C 64 D 48

10. Which step is not performed in the process of solving 𝑛2 – 12n – 10 = 0 by completing

the square?

F Add 10 to each side. H Factor 𝑛2 – 12n – 10 = 0.

G Add 36 to each side. J Take the square root of each side.

11. Which equation is equivalent to 2𝑥2 – 24x – 14 = 0?

A (𝑥 – 6)2 = 50 B (𝑥 – 3)2 = 13 C (𝑥 – 3)2= 20 D (𝑥 – 6)2 = 43

12. State the value of the discriminant of 3𝑥2 + 8x = 2.

F 3 G 40 H 88 J 100

Solve each equation by using the Quadratic Formula. Round to the nearest tenth if

necessary.

13. 4𝑥2 + 11x – 3 = 0

A –2.4, –0.3 B – 1

4 , 3 C 0.3, 2.4 D –3,

1

4

14. 𝑦2 + 8y = 2

F –8.2, 0.2 G 8.2, –0.2 H 0.3, 7.7 J –7.7, –0.3

15. Determine the number of real solutions of 7𝑥2 – 18x + 12 = 0.

A 2 B infinitely many C none D 1

16. Look for a pattern in the table of values to

determine which model best describes the data.

F linear G exponential H quadratic J none of these

17. Which function best models the data in Question 16?

A y = 7x B y = 7𝑥2 C y = 7𝑥 D y = 7𝑥 + 1

18. If f (x) = ⟦𝑥 + 2⟧, find f (1.5).

F 0.5 G 3 H 3.5 J 4

19. Which is not true about the graph of f (x) = ⎪3x + 2⎥ ?

A The range includes all real numbers.

B It includes the point (–3, 7).

C The domain includes all real numbers.

D The graph is “V-shaped.”

20. Which point is located on the graph of f (x) = {

1

3 𝑥 + 2 if 𝑥 ≤ 1

1

2 𝑥 + 1 if 𝑥 > 1

?

F (–3, 1) G (0, 1) H (2, 0) J (3, 3)

Bonus What is the equation of the axis of symmetry of a parabola if its x–intercepts are –3 and 5?

9. _______________

10. _______________

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12. _______________

13. _______________

14. _______________

15. _______________

16. _______________

17. _______________

18. _______________

19. _______________

20. _______________

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x 0 1 2 3

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SCORE


1. How does the graph of y = √ �� x + 3 compare to the parent graph?

A translated up 3 C translated right 3 B translated down 3 D translated left 3

2. Which expression has a domain of {x | x ≥ 2} ?

F y = √ � x + 2 G y = √ � x - 2 H y = √ �� x + 2 J y = √ �� x - 2

For Questions 3–7, simplify each expression.

3. 5 √ � 3 · 2 √ �� 21

A 70 √ � 3 B 10 √ �� 63 C 49 √ � 3 D 30 √ � 7

4. √ �� x 2 − 12

F x 2 − 2 √ � 3

G |x| √ � 3

− 6 H x −

6 J

|x| −

√ �� 12

5. 5 − √ �� 11 - √ � 6

B 5 √ �� 66 −

66 C √ �� 11 + √ � 6 D 5 √ �� 11 + 5 √ � 6

− 17

6. √ �� 18 - √ �� 54 + 2 √ �� 50

F 13 √ � 2 - 3 √ � 6 G -4 √ � 3 + 4 √ � 5 H -4 √ � 3 - 4 √ � 5 J 8 √ � 2 - 3 √ � 6

7. ( √ �� 14 + √ � 3 ) ( √ � 6 - √ � 7 )

A 2 √ � 5 - √ �� 21 + 3 - √ �� 10 C √ �� 21

B √ �� 21 - 4 √ � 2 D √ �� 21 + √ � 2

8. Solve √ �� 3x - 2 + 4 = 8.

F 12 G 6 H 2 − 3 J 3 −

2

9. Solve √ �� 7a + 32 = a + 2.

A -4 B 7 C -4, 7 D -7, 4

10. A right triangle has one leg that is 7 centimeters. The hypotenuse is 25 centimeters. Find the length of the other leg.

F 15 cm G √ �� 674 cm H 24 cm J 5 √ � 7 cm

11. Determine which side measures form a right triangle.

A 3, 8, 12 B 5, 9, 11 C 11, 13, 16 D 6, 8, 10

12. Find m∠B to the nearest tenth if sin B = 1 − 3 .

F 0.5° G 18.4° H 19.5° J 70.5°

Chapter 10 Test, Form 2A 10

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13. Determine which set of measures can be the lengths of the sides of a right triangle.

A 3, 6, 9 B 1, 1, √ � 2 C 3, 3, 4 D 1, 3, 7

14. What is the equation of the graph?

F y = √ �� x + 1 - 1 H y = √ �� x + 1 + 1

G y = √ �� x - 1 - 1 J y = √ �� x - 1 + 1

15. Simplify 2 √ � y • 5 √ � y • 2 √ � y .

A 20 y √ � y B 20 √ � y C 20 y 2 √ � y D 20 y 3

16. What is the length of a diagonal of a rectangle with a length of 9 inches and a width of 3 inches?

F 3.5 in. G 9.5 in. H 18 in. J 90 in.

17. Determine which side measures form a right triangle. A 1, 2, 3 B 2, 3, 4 C 3, 4, 5 D 4, 5, 6

18. LADDERS A 16 foot ladder leans against a wall. The base of the ladder is 6 feet from where the wall meets the ground. How far up the wall does the ladder reach?

F 14.8 ft G 12.9 ft H 144 ft J 220 ft

For Questions 19 and 20, the leg opposite to ∠ A in a right trianglemeasures 12 units, and the hypotenuse measures 19 units.

19. What is sin A?

A 12 − 19

B 19 − 12

C 0.775 D 0.815

20. What is m∠ A? F 0.01° G 32° H 39° J 51°

Bonus Find the length of a diagonal of a square if its area is 72 square meters.


B: 12 m

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11 SCORE


1. Identify the inverse variation that is graphed.

A xy = 30 C y = -30x B xy = -30 D y = 30x

2. If y varies inversely as x and y = 0.8 when x = 1.8, find y when x = 4.8.

F 0.1 G 0.3 H 2.13 J 10.8

3. State the excluded value(s) of n 2 - 3n - 28 − n 2 + 3n - 4

.

A -4, 7 B -4, 1, 7 C 1 D -4, 1

4. Simplify k2 - 8k + 16 −

k2 - 16 .

F k - 4 G -1 H k - 4 − k + 4

J k + 4 − k - 4

5. Find 3 a 2 b − 6 b 2 c 3

· 12 bc 2 − 15a

.

A ab − 3c

B 2 a 2 b − 5c

C 2a − 5c

D a 2 − 3 c 2

6. Find y 2 + 4y + 4

− y · 9y −

y 2 - 4 .

F 9(y + 2)

− y - 2

G -9 − y + 2

H 9 − y - 2

J -9 − 8(y - 2)

7. Find n 2 + 3n - 10 − n 2 + 6n + 8

÷ n - 2 − n 2 + 2n

.

A n(n + 5) −

n + 4 B (n + 5)(n - 2 ) 2

− (n + 3 ) 3

C n + 5 − n + 2

D n(n - 5) −

(n - 2 ) 2

8. Identify the asymptotes of y = 4 − x - 1.

F x = 4, y = -1 G x = 0, y = -1 H x = 0, y = 1 J x = -1, y = 0

9. Find 10 x 3 + 15 x 2 - 8x - 12 −− 2x + 3

.

A 5 x 2 + 15x + 37 − 2 C 5 x 2 + 5x - 13 −

2

B 5x2 - 4 D 5 x 2 - 4 - 15 − 2x + 3

10. Find 3t - 2 − 3t - 1

+ 5t + 4 − 3t - 1

.

F 8t + 2 − 6t - 2

G 8t + 2 − 3t - 1

H 8t - 8 − 3t - 1

J 10t − 4t


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11

11. Find 2x + 3 − (x - 4 ) 2

+ x + 4 − 4 - x

.

A x 2 + 2x - 13 − (x - 4 ) 2

B x - 1 − x - 4

C x - 1 − (x - 4 ) 2

D - x 2 + 2x + 19 − (x - 4 ) 2

12. Find 6x − x - 5

- 4 − x - 5

.

F 2x − x - 5

G 6x - 4 − x - 5

H 6x - 4 − 5 J 6x - 4 −

2x - 10

13. Find 10 − a - b

- 6b − a 2 - b 2

.

A 4 − a - b

B 10a - 6b − a 2 - b 2

C 4b − a - b

D 10a + 4b − a 2 - b 2

14. Write x + x + 1 − x + 8

as a rational expression.

F x 2 + 9x + 1 − x + 8

G 2x + 1 H 2x + 1 − x + 8

J x 2 + x + 1 − x + 8

15. Simplify r 2 + 2r - 3 − r

− r 2 + 3r − r 2 - r

.

A -1(r - 1) B (r - 1 ) 2 − r C (r + 3 ) 2

− r D 3(r + 3)

16. Solve 5x − 3x + 1

- 10 − 9x + 3

= 7 − 6 .

F 3 G - 27 − 11

H 67 − 9 J 7 −

3

17. Which value is an extraneous solution of x − x + 1

- 6 − x 2 - 4x - 5

= 1?

A 5 B 0 C -1 D 6

18. Find 60 miles − 1 hour

· 5280 feet − 1 mile

· 1 hour − 60 minutes

· 1 minute − 60 seconds

.

F 22 ft − 15 s

G 68 ft/s H 5280 mi/min J 88 ft/s

19. ART Vanesa is sculpting statues which require about 2 − 9 cubic foot of clay.

If she has 2 cubic yards of clay, how many statues can Vanesa make?

A 9 B 243 C 27 D 729

20. PHYSICS The formula 1 − R T

= 1 − R 1

+ 1 − R 2

+ 1 − R 3

represents the total resistance

of a circuit. What is R1 if RT = 2.5 ohms, R2 = 10 ohms, and R3 = 5 ohms?

F 17.5 ohms G 2.5 ohms H 10 ohms J 7 ohms

Bonus Find the value of k so that x + 1 is a factor of 3x3 - 2x2 + x + k.


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Documents

NAME DATE PERIOD 4 Chapter 4 Test, Form 2A · PDF fileChapter 4 57Glencoe Algebra 1 4 SCORE Assessment ... Chapter 4 Test, Form 2A y x O 1. D 2. H 3. D 4. H 5. B 6. G 7. D 8. H 9