ALGEBRA 1 - Scarsdale Public Schools / · PDF file17. A sequence is defined recursively by f(1) =16 and f(n) = f(n – 1) + 2n. ... Jonathan has been on a diet since January 2013

ALGEBRA 1Workbook

Common Core Standards Edition

Published byTOPICAL REVIEW BOOK COMPANY

P. O. Box 328Onsted, MI 49265-0328www.topicalrbc.com

EXAM PAGE

Reference Sheet .................................................................i

Test 1 .................................................................................1

Test 2 .................................................................................9

Test 3 ...............................................................................17

June 2014 ........................................................................25

August 2014 ....................................................................35

January 2015 ...................................................................45

Correlation of Standards .................................................53

ALGEBRA 1Workbook

Common Core StandardsEdition

ALGEBRA 1 Test 1

1

Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the space provided the numeral preceding the word or expression that best completes the statement or answers the question.

1. What are the values of x in the equation x(x – 6) = 4(x + 6)? (1) { –6, 6} (2) {–12, 2} (3) {–2, 12} (4) {–6, 0, 6} 1 _____

2. Which of ordered pairs is not a function?(1) {(0, 9),(9, 0),(1, 2),(3, 4)} (3) {(2, 3),(3, 4),(4, 5),(5, 6)}(2) {(0, 1),(–1, 0),(1, 2),(3, 2)} (4) {(2, 3),(2, 4),(4, 5),(4, 6)} 2 _____

3. If f(x) = |3x – 4| + 2, find f(–10).(1) 28 (2) 34 (3) 36 (4) 38 3 _____

4. What is the value of the 1st quartile in the data set below? Scores on a math quiz: 65, 90, 100, 72, 88, 55, 73(1) 65 (2) 73 (3) 90 (4) 55 4 _____

5. What is the length of the missing side of the quadrilateral shownif the perimeter is 5x2 + 2x + 1?(1) 4x2 – 6x + 2 (3) –4x2 + 8x + 4 (2) –4x2 + 6x + 2 (4) 4x2 + 8x – 4 5 _____ 6. What is the product of (x + 1) and (2x2 + 3x – 1)?(1) 2x2 + 5x2 – x – 1 (3) 2x3 + 3x2 + 3x + 1(2) 2x3 + 5x2 + 2x – 1 (4) 2x3 + 3x2 – 3x – 1 6 _____

7. Which graph is a correct representation of the function f(x) = 3x?

(1) (2) (3) (4) 7 _____

8. A sequence has an initial value of 10 and each term is twice the previous term. Which function models this sequence?(1) a(n) = 10(2)n (3) a(n) = 10 + 2n(2) a(n) = 10(2)n – 1 (4) a(n) = 10 + 2(n – 1) 8 _____

2x2 + x – 1 3x2 – 5x

4x2 ?

2 ALGEBRA 1 Test 1

9. How can b2 + 9b + 14 be re-written?(1) (b + 7) (b – 7) (3) (b + 7) (b – 2) (2) (b – 7) (b – 2) (4) (b + 7) (b + 2) 9 _____

10. The scatter plot to the right Medication

shows the number of milligrams of a medication in a person’s body for first three hours after the medication is given. Which equation best models the relationship where h is hours after medication and m is milligrams of medication in the body?(1) m = –h + 130 (2) m = –h – 130 (3) m = –40h + 130 (4) m = –40h – 130 10 ____

11. Using the equation y = ax2 + bx + c to represent a parabola on a graph, which statement is true?(1) If b is negative, the parabola opens downward.(2) If a is negative, the parabola opens upward.(3) If a is positive, the parabola opens upward.(4) If c is negative, the parabola opens downward. 11 ____

12. If the function h(x) represents the number of full hours that it takes a person to assemble x sets of tires in a factory, which would be an appropriate domain for the function?(1) the set of real numbers (3) the set of integers(2) the set of negative integers (4) the set of non-negative integers 12 ____

13. Given the length of three sides of a triangle, which is a right triangle?(1) 10, 26, 24 (2) 20, 12, 18 (3) 30, 15, 26 (4) 40, 50, 80 13 ____

14. Which equation is represented by the accompanying graph?

(1) y = {–1; x < –2 2; x > –2

(2) y = {–1; x ≤ –2 2; x > –2

(3) y = {–1; x < –2 2; x ≥ –2

(4) y = {–1; x ≤ –2 2; x ≥ –2

14_____

150

130

110

90

70

50

30

10

-100 1 2 3 4

Mill

igra

ms

of M

edic

atio

n in

the

Bod

yHours Since Medicating

ALGEBRA 1 Test 1

3

15. A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t) = 2000(1.05)t. What is the average rate of change in thenumber of mice between the second year and the fifth year, roundedto the nearest whole number?(1) 116 (2) 348 (3) 2205 (4) 2553 15 ____

16. Seven less than the product of twice a number is greater than 5 more than the same number. Which integer satisfies this inequality?(1) 1 (2) 2 (3) 12 (4) 13 16 ____

17. A sequence is defined recursively by f(1) =16 and f(n) = f(n – 1) + 2n. Find f(4).(1) 32 (2) 30 (3) 28 (4) 34 17 ____

18. Which statement is true about the accompanying graph?(1) It is decreasing when –1 < x < 3 and positive when x > 1. (2) It is increasing when x > 1 and negative when x < 0. (3) It is increasing when x > 1 and negative when –1 < x < 3. (4) It is decreasing when –1 < x < 3 and positive when x > 3. 18 ____

19. The two-way table below represents the travel history of the seniors in the local Travel Club.

Travel Club History Gender Total Men Women Aruba 14 19 33 Jamaica 17 18 35 Canada 32 22 54 Spain 4 11 15 Total 67 70 137What is the approximate marginal relative frequency of the number of men and women that have traveled to Canada?(1) 16% (2) 23% (3) 39% (4) 42% 19 ____

20. What is the equation of the line with a slope of – 12

that passes through the point (6, –6)?(1) y = – 1

2x – 3 (2) y = 1

2x – 3 (3) y = – 1

2x + 3 (4) y = –2x – 3 20 ____

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

654321

-1-2-3-4-5-6

y = x2 – 2x – 3

• •

• •

•• •

x

y

4 ALGEBRA 1 Test 1

21. Alex makes ceramic bowls to sell at a monthly craft fair in a nearby city. Every month, she spends $50 on materials for the bowls from a local art store. At the fair, she sells each completed bowl for a total of $25 including tax. Which equation expresses Alex’s profit as a function of the number of bowls that she sells in one month?(1) p(x) = 50x + 25 (3) p(x) = 25x (2) p(x) = 15x + 25 (4) p(x) = 25x – 50 21 ____

22. Which expression is equivalent to x4 – y4?(1) (x2 – y2)(x2 + y2) (3) (2x2)2 – (2y2)2

(2) (x2 – y2)(x2 – y2) (4) (x2y2) – (x2y2) 22 ____

23. A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y = –x2 + 4x + 6. What isthe turning point of the rocket’s path?(1) (1, 5) (2) (2, 10) (3) (–2, –10) (4) (1, –5) 23 ____

24. What is the solution to this system of linear equations: y – x = 4 and y + 2x = 1?

(1) (–1, 3) (2) (0, 4) (3) (1, –1) (4) (–3, 3) 24 ____

Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the space provided. [16]

25. Find the average rate of change of the function shown to the right that represents the amount of money in a savings account in Lender’s Bank?

26. Factor completely, the expression: 2x3 – 2x2 – 12x

Week Balance 1 $128 2 $142 3 $156 4 $170 5 $184

ALGEBRA 1 Test 1

5

27. Find one point that lies in [The use of the grid is optional.]the solution set of the followingsystem of inequalities: y ≤ 1

2x + 6

y > –3x – 1

Justify your answer

28. Solve for x: 2x2 + 4x – 16 = 0

29. The product of 16 and 4 less than a number is 208. Find the number.

30. MaryJo decided to solve the equation 3x – 2 = –x – 6 by entering each of the expressions into her graphing calculator. To solve the equation as a system, she entered y1 = 3x – 2 and y2 = –x – 6. When she used the calculator to find the intersection, she found x = – 1 and y = –5. Show the work to check to see if MaryJo found the correct solution for x to the linear equation.

y

x

6 ALGEBRA 1 Test 1

31. Find f(–2) for the function: f(x) ={ 3x2 – 1, x < 1

x + 2, x ≥ 1

32. Identify the turning point of the function f(x) = x2 – 2x + 8 by writing its equation in vertex form.

Show your work.

Part III Answer all 4 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16]

33. Graph 2x + y < 7 and state one point in the solution set. y

x

ALGEBRA 1 Test 1

7

34. Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, w, can be modeled by the function w = –3m + 205 where m is the number of months after January 2013.

a) How much did Jonathan weigh at the start of the diet?

b) How much weight has Jonathan been losing each month?

c) How many months did it take Jonathan to lose 45 pounds?

35. Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

a) After how many years will she have 64 rabbits?

b) Write an equation to model this situation. [The use of the grid is optional.]y

x

8 ALGEBRA 1 Test 1

36. Create a box plot for the ages of people listed below: 40, 25, 20, 15, 40, 40, 45, 60, 7, 10, 52, 34, 38

Part IV Answer one question in this part. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the spaces provided. [6]

37. Graph the system of equations: y = –x2 + 3x – 1State the solution to the system. 2y – 1 = x y

x

ALGEBRA 1 Test 2

9

x f(x)1 1002 503 254 12.55 6.25


1. What are the zeros of the function, f(x) = x2 – 2x – 15?(1) {3, 5} (2) {–3, 5} (3) {–5, 3} (4) {–5, –3} 1 _____

2. What is the difference when 2x3 + x – 5 is subtracted from 6x3 – x2 + 4x + 8?(1) 4x3 – x2 + 3x + 13 (3) 8x3 – x2 + 5x + 3(2) 4x3 – x2 – 3x – 13 (4) 8x3 + 3x + 3 2 _____

3. Which system of equations would have the same solution as the system:

x + y = 5 3x + 2y = 10

(1) 3x + 2y = 5 (3) –3x – 3y = 5 x + y = 10 3x + 2y = 10 (2) –3x – 3y = –15 (4) 2x + 2y = 5 3x + 2y = 10 3x + 2y = 10 3 _____ 4. Which situation could be modeled with an exponential function?(1) the amount of money in a savings account where $150 is deducted every month(2) the amount of money in Suzy’s piggy bank which she adds $10 to each week(3) the amount of money in a certificate of deposit that gets 4% interest each year(4) the amount of money in Jaclyn’s wallet which increases and decreases by a different amount each week 4 _____

5. Which function models the relationship shown in the table?

(1) f(x) = 100x

(3) f(x) = 50(2)x

(2) f(x) = 100 12

x

(4) f(x) = 200 12

x

5 _____

6. In the dot plot below, what is the value of the median? x x x xx x x x x xx x x x x

(1) 25 (2) 55 (3) 58 (4) 60 6 _____

10 ALGEBRA 1 Test 2

7. Dale is trying to find the height of a triangular wall. He already knows the area and the base measurement of the wall. Which is the equation of the area of a triangle, written in terms of the height?(1) h A

b= 2 (2) h = 2Ab (3) h b

A=

2 (4) h = 12 bA 7 _____

8. Which graph displays a square root function?

(1) (2) (3) (4) 8 _____ 9. If the function f(x) represents the number of words that Janet can type in x minutes, what is the possible domain for the function?(1) The set of integers (3) The set of non-negative integers(2) The set of real numbers (4) The set of irrational numbers 9 _____

10. What is the dimension of the hypotenuse of the accompanying right triangle?(1) 12 units(2) 18 units (3) 10 units(4) 16 units

10 ____

11. The two-way table below represents the plans for seniors at Grant High School following graduation.

Post-Education Plans Gender Total Boys Girls 2 year college 36 28 64 4 year college 52 67 119 military 12 5 17 career 29 13 42 undecided 7 16 23 Total 136 129 265

What is the conditional joint relative frequency of the number of girls planning to attend a 4 year college?(1) 11% (2) 14% (3) 20% (4) 25% 11 ____

(1, 9)

(9, 3)

y

x

ALGEBRA 1 Test 2

11

12. Which best describes a causal relationship?(1) one variable takes place at the same time as another(2) one variable is causing change in another(3) one variable has a relationship with another(4) one variable increases the possibility of another occurring 12 ____

13. Which is the equation of a line with a slope of –2 that passes through the point (–2, 0)?(1) y + 2x = –4 (2) y – 2x = 4 (3) y + 2 = –2x (4) y – 4x = 2 13 ____

14. To the nearest tenth, what is the length of the hypotenuse of a right triangle if one side measures 4.5 meters and the other side measures 9 meters?(1) 10.1 meters (3) 101.3 meters (2) 20.3 meters (4) 202.6 meters 14 ____

15. Which rule describes the relationship between x and y in the accompanying table?(1) y = | –3x | (3) y = | x | – 3 (2) y = | x – 3 | (4) y = | x | + 3 15 ____

16. Which function described below is quadratic?(1) y = 2x (2) (3) (4)

16 ____

17. Which statement below is true about linear functions?(1) Linear functions grow by equal factors over equal intervals.(2) Linear functions grow by equal differences over equal intervals.(3) Linear functions grow by equal differences over unequal intervals.(4) Linear functions grow by unequal factors over equal intervals. 17 ____

18. Labor at the car repair shop can be represented by the function:

Total charge for repairs {150, 0 < h ≤ 1

150 + 80(h – 1), h > 1

If h represents the number of hours worked, what is the charge for a 3 hour car repair?(1) $150 (2) $230 (3) $310 (4) $390 18 ____

x y 0 –3 –1 –2 –2 –1 –3 0

x y –3 3 –2 2 –1 1 0 0 1 –1

x y –3 8 –2 3 –1 0 0 –1 1 0

y

x

8

6

4

2

6 4 2 2 4 6 8

12 ALGEBRA 1 Test 2

19. If g(x) = x2 + 3x, what is the value of g(–3).(1) 0 (2) 3 (3) 18 (4) 21 19 ____

20. The height of a ball above the ground in feet is defined by the function h(t) = –16t2 + 80t + 3 where t is the number of seconds after the ball is thrown. What is the value of h(t), two seconds after the ball is thrown?(1) 80 feet (2) 99 feet (3) 103 feet (4) 200 feet 20 ____

21. Which function below will result in a downward vertical shift of the graph of the parent function: y = x2?(1) y = 1

2x2 (2) y = 2x2 (3) y = x2 + 2 (4) y = x2 – 1 21 ____

22. Which set of data of temperatures has the largest dispersion as measured by its interquartile range?(1) 15, 17, 19, 21, 21, 22, 28 (3) 10, 19, 22, 23, 23, 29, 44(2) 21, 23, 36, 37, 44, 48, 50 (4) 42, 47, 49, 50, 52, 59, 60 22 ____

23. Which equation illustrates how the expression 1.15t can be rewritten to approximate the equivalent monthly interest rate if the annual rate is 15%?

(1) rt

=

1 15

112

12

. (2) rt

= ( )1 15 144. (3) r t= ( )1 15 12. (4) r t

= ( )12 1 15 12. 23 ____

24. Which point is in the solution set to the system of inequalities: y > 2x – 1 and y ≤ 1

2x + 5?

(1) (–3, 10) (2) (8, 2) (3) (–2, 1) (4) (4, 1) 24 ____

Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16]

25. Transform the equation x – 3y = –15 to express it in slope-intercept form.

ALGEBRA 1 Test 2

13

26. Describe the range of a square root function.

27. Factor completely: 6x2 – 4x – 2

28. Sales in the printing business have doubled for James in each of the last three months. During the last month, he made a profit of $520. If the pattern continues, what will be his three month total profit at the end of the next three months?

29. Find the sum of 32

122

bb b+ +

and and simplify if possible.

30. Find the area of the rectangle with a length of (x2 – 2) and a width of (2x2 – x + 2).

14 ALGEBRA 1 Test 2

31. Given h(x) = –2x2 – x + 2, find h(–2).

32. Rows of chairs are set out for a wedding. There are 6 chairs in the first row, 14 chairs in the second row, and 22 chairs in the third row. The rows continue in the same patterns for a total of 7 rows. How many chairs are set out for the wedding guests?

Part III Answer all 4 questions in this part. The correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16]

33. Jennifer and Kim enjoy making bracelets. At the beginning of this year Jennifer had already made twenty five bracelets. She continues to make eight bracelets every month. Kim just started making bracelets recently, so she had only made eleven at the beginning of the year. Kim is able to work more quickly, so she makes ten more bracelets every month.

a) Write an inequality to model the situation comparing Jennifer and Kim.

b) During what month(s) this year will Kim have made more bracelets than Jennifer?

ALGEBRA 1 Test 2

15

34. Create a scatter plot to demonstrate the relationship between the snow storms this year and the average amount of salt used on the roads in town.

a) Sketch a line or curve of best fit.

b) Determine a function to define it.

Snow storm Salt (pounds) 1 3 2 4 3 8 4 10 5 15

35. Sketch the graph of the given data on the accompanying coordinate plane.

a) Choose and state an appropriate scale so that all of the points can be plotted.

b) Write a function rule for the data.

y

x

x f(x)0 11 32 93 274 81y

x

16 ALGEBRA 1 Test 2

36. The data chart to the right represents the local Baseball Team shoe order.

a) Write the linear regression equation for the line of best fit for the data in the chart. Round the numbers to the nearest hundredth.

b) State the correlation coefficient to the nearest hundredth.

c) Determine if the correlation is good and explain why or why not.

Part IV Answer one question in this part. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [6]

37. Jonathan makes a weekly allowance of $25. He also makes $9.50 an hour at his job. Because of his age, Jonathan can work no more than 20 hours a week.

a) Write a function for the amount of money he makes each week based on the amount of hours, h, he works.

b) What is the domain of the function for this situation?

c) Sketch the graph of the function over the domain you chose.

y

x

Height in Inches Shoe Size 68 11 60 8 64 10 78 13 74 12.5 78 14 74 11 60 7 70 10 64 9 72 11 74 13 72 12 78 13.5

Baseball Team Shoe Order

ALGEBRA 1 Test 3

17


1. Which expression is equivalent to (x2 + 3x – 4)(x – 5)?(1) x3 + 8x2 – 19x + 20 (3) x3 – 2x2 – 11x + 20(2) x3 – 2x2 – 19x + 20 (4) x3 – 8x2 – 11x + 20 1 _____

2. What are the zeros of (x – 2)(x2 – 9)?(1) {–3, 2, 3} (2) {–3, 3} (3) {–3, 0, –3} (4) {0, 3} 2 _____

3. The formula for converting degrees Celsius to Fahrenheit is F = 95 C + 32. Which expression is correctly written to convert Fahrenheit temperatures into degrees Celsius?

(1) C = 95 F + 32 (3) C =5 160

9F −

(2) C = 59 F – 160 (4) C = 32F + 160 3 _____

4. What are the restrictions of the domain of the function F(x) = 192x − ?

(1) x ≠ 3 (2) x ≠ ± 3 (3) x ≠ 9 (4) x ≠ 0 4 _____

5. What is the value of f(2) when f(x) = {3x2 + x – 1, x ≥ 1

2x, x < 1 (1) 4 (2) 7 (3) 11 (4) 13 5 _____

6. What are the possible values for x in the equation 4x2 = 64? (1) x = 0 (2) x = 4 (3) x = 4, –4 (4) x = 0, 4, –4 6 _____

7. Samuel’s Car Service will charge a flat travel fee of $4.75 for anyone making a trip. They charge an additional set rate of $1.50 per mile that is traveled. What is an equation that represents the charges?(1) y = 1.5x + 1.5 (3) y = 1.5x + 4.75 (2) y = 4.75x + 4.75 (4) y = 4.75x + 1.5 7 _____

8. The accompanying frequency table indicates the grades on the math midterm in Ms. Dennis’ class. In which interval does the median of the data lie?(1) 91-95 (3) 81-85(2) 76-80 (4) 86-90 8 _____

Frequency TableInterval Tally Frequency96-100 IIII 591-95 I 186-90 IIII IIII 981-85 IIII 476-80 II 271-75 IIII 4

18 ALGEBRA 1 Test 3

9. What is the interquartile range of the data set below? Growth in feet of oak trees: 68, 80, 73, 90, 120, 94, 76, 112, 101, 94, 72(1) 22 (2) 28 (3) 52 (4) 73 9 _____

10. A rocket is launched from the ground. The function h(t) = –4.9t2 + 180t models the height of a rocket launched from the ground t seconds after it is launched. If all other factors remain the same, which of the following function models the height of a rocket above the ground after t seconds if it is launched from a platform 100 feet in the air?(1) h(t) = –4.9t2 + 280t (3) h(t) = –4.9t2 + 180t + 100(2) h(t) = –4.9t2 + 180t – 100 (4) h(t) = –4.9t2 + 180(t + 100) 10 ____

11. What is the sum of –2x2 – 5x + 3 and –4x2 + 4x – 6 (1) 6x2 – x – 3 (3) 2x2 + 9x – 3 (2) –6x2 – x – 3 (4) –6x2 + 9x – 3 11 ____

12. Which situation describes a correlation that is not a causal relationship?(1) Car color and number of car accidents(2) Hours spent studying and test score(3) Amount of exercise each week and the time it takes to run a mile(4) Distance to reach a destination and the amount of gasoline used 12 ____

13. Which function has the largest maximum?(1) y = –x2 + 2x – 1 (3) y = –2x2 – 3x + 4 (2) (4)

13 ____

14. Which are the side lengths of a right triangle? (1) 10, 15, 20 (2) 11, 16, 22 (3) 12, 18, 26 (4) 20, 21, 29 14 ____

15. Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which cost $6 each. She writes a function to model the amount of money she will have left from her paycheck after purchasing a certain number of necklaces. She writes the function, f(x) = 150 – 6x.Determine what x and f(x) stand for in the function.(1) x = weeks; f(x) = dollars left (3) x = necklaces; f(x) = dollars left(2) x = dollars left; f(x) = weeks (4) x = dollars left; f(x) = necklaces 15 ____ 16. Maxwell and Jessica went to the candy store. Maxwell bought one chocolate covered cookie and two lollipops for $2.50. Jessica bought one chocolate covered cookie and four lollipops for $3.00. How much does one lollipop cost?(1) $0.25 (2) $0.40 (3) $.50 (4) $1.00 16 ____

x y –3 –2 –2 1 –1 2 0 1 1 –2

y

x

2

-2

-4

-6

-8

4 2 2 4

ALGEBRA 1 Test 3

19

17. If x = ab

2, which situation would always double the value of x?

(1) Doubling the value of a. (3) Doubling the value of b.(2) Halving the value of a. (4) Halving the value of b. 17 ____ 18. Jessica is planning to build a square playing field. She wants to see how long the sides of the field will need to be for different areas. Her results are summarized in the following table. All values are rounded to the nearest hundredth when necessary.

What is the average rate of change in the side length as the area increases from 100 square feet to 900 square feet?(1) .025 (2) 20 (3) 40 (4) 800 18 ____ 19. The selling prices for a group of cars were recorded when the cars were new and for an additional five years. The results are summarized in the tables below. Which car’s price dropped at a constant percent rate each year?(1) (2) (3) (4)

19 ____20. Five friends decided to do an Math Studyexperiment to see how studying impacted their test scores. Each student studied for a different amount of time and recorded his or her test score on a math unit test. The results are shown in the scatter plot to the right. Based on their data, which function best models the relationship between studying and test score on the math unit test?(1) f(x) = 7x + 60 (3) f(x) =60x + 14(2) f(x) =14x + 60 (4) f(x) = 14 x + 60 20 ____

21. Which is the correct solution set for 4x2 + 4x – 3 = 0? (1) {2, –3} (2) { 1

2, –3} (3) {1, 2} (4) { 1

2,– 32

} 21____ 22. In the expression 5x3 – 4x2 + 2x + 3, what is the coefficient of the quadratic term?(1) –5 (2) –4 (3) 3 (4) 4 22 ____

Area Side Length (square feet) (feet) 100 10 200 14.14 300 17.32 400 20 500 22.36 600 24.49 700 26.46 800 28.28 900 30

Year Cost 0 25,000 1 20,000 2 15,000 3 10,000 4 5,000 5 0

Year Cost 0 25,000 1 30,000 2 35,000 3 40,000 4 45,000 5 50,0000

Year Cost 0 25,000 1 20,000 2 16,000 3 12,800 4 10,240 5 8192

Year Cost 0 25,000 1 30,000 2 36,000 3 43,000 4 52,840 5 62,208

100908070605040302010

00 0.5 1 1.5

Test

Sco

re f(

x)

Hours Spent Studying (x)

20 ALGEBRA 1 Test 3

23. The table below displays data collected from the census. What is the linear correlation coefficient between years of education past 8th grade and average yearly salary in the United States to the nearest hundredth?

Years of education past 8th grade Average Yearly Salary 2 years (10th grade) 23,088 4 years (High School Graduate) 32,552 6 years (Associates Degree) 39,884 8 years (Bachelors Degree) 53,976 9 years (Masters Degree) 66,144 11 years (Doctorate) 80,600

(1) .96 (2) .97 (3) .98 (4) .99 23 ____

24. Which function below correctly illustrates the absolute value function?

(1) |a| = {a, if a ≤ 0 (3) |a| = { a , if a ≥ 0 –a, if a > 0 –a, if a < 0

(2) |a| = {a, if a ≥ 0 (4) |a| = {a, if a ≥ 0

–a, if a < 0 – a , if a < 0 24 ____

Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the space provided. [16]

25. Find the 5th term sequence defined as: a(n) = (n + 3)n – 1

26. Solve: 36

12

8 43x x

+ = +

ALGEBRA 1 Test 3

21

27. Simplify: (x2 + 4)(2x2 + x – 1)

28. Find the y-intercept(s), if any for the equation: y = x2 – 16

29. Tim makes wooden salad bowls to sell at a monthly craft fair near his home town. Each month he spends $45 on specialty wood and other materials from his local lumber store. At the craft fair, Tim sells each completed salad bowl set for a total of $22, including tax. Express Tim’s profit as a function of the number of units that he sells.

30. The Rockford’s have a square play area that is built around a center sandbox that is in the shape of a circle. The sides of the play area are tangent to the circle. They want to determine the amount of grass seed to buy for the spring. If the diameter of the circular sandbox is represented by d use function notation to write a function to represent the play area only.

22 ALGEBRA 1 Test 3

31. Explain the steps necessary for solving the following equation. x2 – 8x – 20 = 0

32. The following data is the set of quiz scores from Ms. Jones’ algebra class: 56, 82, 78, 90, 99, 73, 85, 95, 76, 88, 100

a) Create a box plot for the data.

b) Find the median grade for the class.


33. A teacher surveyed a small senior class to find out how many hours they worked last week and their wages. The information from each student is summarized in the table.

a) Find the linear regression equation for the data in the table. Round all coefficients to the nearest hundredth.

b) Using your regression, how much money would someone make if he or she worked 25 hours last week? Round to the nearest cent.

Hours Wages 20 250 15 180 14 200 32 350 0 0 5 100 40 380 12 100

ALGEBRA 1 Test 3

23

34. Sketch the graph of the function: y = |x| + 3

35. Sketch the graph of the function h(x) = –x2 – 6x – 5. Label all intercepts. Label the vertex and state if it is a maximum or minimum point.

y

x

y

x

24 ALGEBRA 1 Test 3

36. The cost of operating Jelly’s Doughnuts is $1600 per week plus $.10 to make each doughnut.

a) Write a function, C(d), to model the company’s weekly costs for producing d doughnuts.

b) What is the total weekly cost if the company produces 4,000 doughnuts?

c) Jelly’s Doughnuts makes a gross profit of $.60 for each doughnut they sell. If they sold all 4000 doughnuts they made, would they make money or lose money for the week? How much?

Part IV Answer one question in this part. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the spaces provided. [12]

37. Sketch the graph of all of the solutions to the equation y = 1

4(2)x

where 0 ≤ x ≤ 5.

Find the average rate of change between f(2) and f(5).

y

x

ALGEBRA 1 June 2014

25

Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each statement or question, choose the word or expression that, of those given, best completes the statement or answers the question. Record your answers in the space provided. [48]

1. When solving the equation 4(3x2 + 2) – 9 = 8x2 + 7, Emily wrote 4(3x2 + 2) = 8x2 + 16 as her first step. Which property justifies Emily’s first step?(1) addition property of equality(2) commutative property of addition(3) multiplication property of equality(4) distributive property of multiplication over addition 1 _____

2. Officials in a town use a function, C, to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate domain for the function?(1) {… –2, –1, 0, 1, 2, 3, …} (3) {0, 1

2, 1, 1 1

2, 2, 2 1

2}

(2) { –2, –1, 0, 1, 2, 3} (4) {0, 1, 2, 3, …} 2 _____

3. If A = 3x2 + 5x – 6 and B = –2x2 – 6x + 7, then A – B equals(1) –5x2 – 11x + 13 (2) 5x2 + 11x – 13 (3) –5x2 – x + 1 (4) 5x2 – x + 1 3 _____

4. Given: y + x > 2 y ≤ 3x – 2Which graph shows the solution of the given set of inequalities?

(1) (2) (3) (4) 4 _____

5. Which value of x satisfies the equation 73

928

20x+

= ?

(1) 8.25 (2) 8.89 (3) 19.25 (4) 44.92 5 _____

6. The accompanying table shows the average yearly balance in a savings account where interest is compounded annually. No money is deposited or withdrawn after the initial amount is deposited.Which type of function best models the given data?(1) linear function with a negative rate of change(2) linear function with a positive rate of change(3) exponential decay function(4) exponential growth function 6 _____

Algebra I (Common Core) – June ’14 [4]

Use this space forcomputations.4 Given: y � x � 2

y � 3x � 2

Which graph shows the solution of the given set of inequalities?

5 Which value of x satisfies the equation 7__3 (x �9___

28 ) � 20?

(1) 8.25 (3) 19.25

(2) 8.89 (4) 44.92

(1) (3)

(2) (4)

y

x

y

x

y

x

y

x



y � 3x � 2



28 ) � 20?

(1) 8.25 (3) 19.25

(2) 8.89 (4) 44.92

(1) (3)

(2) (4)

y

x

y

x

y

x

y

x



y � 3x � 2



28 ) � 20?

(1) 8.25 (3) 19.25

(2) 8.89 (4) 44.92

(1) (3)

(2) (4)

y

x

y

x

y

x

y

x



y � 3x � 2



28 ) � 20?

(1) 8.25 (3) 19.25

(2) 8.89 (4) 44.92

(1) (3)

(2) (4)

y

x

y

x

y

x

y

x

Algebra I (Common Core) – June ’14 [5] [OVER]

Use this space forcomputations.6 The table below shows the average yearly balance in a savings

account where interest is compounded annually. No money isdeposited or withdrawn after the initial amount is deposited.

Which type of function best models the given data?

(1) linear function with a negative rate of change

(2) linear function with a positive rate of change

(3) exponential decay function

(4) exponential growth function

7 A company that manufactures radios first pays a start-up cost, andthen spends a certain amount of money to manufacture each radio.If the cost of manufacturing r radios is given by the functionc(r) � 5.25r � 125, then the value 5.25 best represents

(1) the start-up cost

(2) the profit earned from the sale of one radio

(3) the amount spent to manufacture each radio

(4) the average number of radios manufactured

8 Which equation has the same solution as x2 � 6x � 12 � 0?

(1) (x � 3)2 � 21 (3) (x � 3)2 � 3

(2) (x � 3)2 � 21 (4) (x � 3)2 � 3

Year Balance, in Dollars

0 380.00

10 562.49

20 832.63

30 1232.49

40 1824.39

50 2700.54

26 ALGEBRA 1 June 2014


Use this space forcomputations.9 A ball is thrown into the air from the edge of a 48-foot-high cliff so

that it eventually lands on the ground. The graph below shows theheight, y, of the ball from the ground after x seconds.

For which interval is the ball’s height always decreasing?

(1) 0 � x � 2.5 (3) 2.5 � x � 5.5

(2) 0 � x � 5.5 (4) x � 2

10 What are the roots of the equation x2 � 4x � 16 � 0?

(1) (3)

(2) (4)� �2 2 5 � �2 54

2 2 5� 2 5� 4

1

48

32

192

6

16

y

x5432

64

80

176

96

112

128

144

160

7. A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents(1) the start-up cost(2) the profit earned from the sale of one radio(3) the amount spent to manufacture each radio(4) the average number of radios manufactured 7 _____

8. Which equation has the same solution as x2 – 6x – 12 = 0?(1) (x + 3)2 = 21 (2) (x – 3)2 = 21 (3) (x + 3)2 = 3 (4) (x – 3)2 = 3 8 _____

9. A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The accompanying graph shows the height, y, of the ball from the ground after x seconds.For which interval is the ball’s height always decreasing?(1) 0 ≤ x ≤ 2.5 (3) 2.5 < x < 5.5(2) 0 < x < 5.5 (4) x ≥ 2 9 _____

10. What are the roots of the equation x2 + 4x – 16 = 0?(1) 2 ± 2 5 (2) –2 ± 2 5 (3) 2 ± 4 5 (4) –2 ± 4 5 10 ____

11. What is the correlation coefficient of the linear fit of the data shown to the right, to the nearest hundredth?(1) 1.00 (3) –0.93(2) 0.93 (4) –1.00

11 ____

12. Keith determines the zeros of the function f(x) to be –6 and 5.What could be Keith’s function?(1) f(x) = (x + 5)(x + 6) (3) f(x) = (x – 5)(x + 6)(2) f(x) = (x + 5)(x – 6) (4) f(x) = (x – 5)(x – 6) 12 ____

13. Given: L = 2 M = 3 3 N = 16 P = 9Which expression results in a rational number?(1) L + M (2) M + N (3) N + P (4) P + L 13 ____


Use this space forcomputations.11 What is the correlation coefficient of the linear fit of the data shown

below, to the nearest hundredth?

(1) 1.00 (3) �0.93

(2) 0.93 (4) �1.00

12 Keith determines the zeros of the function f(x) to be �6 and 5. What could be Keith’s function?

(1) f(x) � (x � 5)(x � 6) (3) f(x) � (x � 5)(x � 6)

(2) f(x) � (x � 5)(x � 6) (4) f(x) � (x � 5)(x � 6)

13 Given: L �

M �

N �

P �

Which expression results in a rational number?

(1) L � M (3) N � P

(2) M � N (4) P � L

9

16

3 3

2

2 4 6 8

2

4

6

8

y

x

ALGEBRA 1 June 2014

27


Use this space forcomputations.14 Which system of equations has the same solution as the system

below?2x � 2y � 16

3x � y � 4

(1) 2x � 2y � 16 (3) x � y � 166x � 2y � 4 3x � y � 4

(2) 2x � 2y � 16 (4) 6x � 6y � 486x � 2y � 8 6x � 2y � 8

15 The table below represents the function F.

The equation that represents this function is

(1) F(x) � 3x (3) F(x) � 2x � 1

(2) F(x) � 3x (4) F(x) � 2x � 3

16 John has four more nickels than dimes in his pocket, for a total of$1.25. Which equation could be used to determine the number ofdimes, x, in his pocket?

(1) 0.10(x � 4) � 0.05(x) � $1.25

(2) 0.05(x � 4) � 0.10(x) � $1.25

(3) 0.10(4x) � 0.05(x) � $1.25

(4) 0.05(4x) � 0.10(x) � $1.25

17 If f(x) � 1__3 x � 9, which statement is always true?

(1) f(x) � 0 (3) If x � 0, then f(x) � 0.

(2) f(x) � 0 (4) If x � 0, then f(x) � 0.

x 3 4 6 7 8

F(x) 9 17 65 129 257


Use this space forcomputations.18 The Jamison family kept a log of the distance they traveled during a

trip, as represented by the graph below.

During which interval was their average speed the greatest?

(1) the first hour to the second hour

(2) the second hour to the fourth hour

(3) the sixth hour to the eighth hour

(4) the eighth hour to the tenth hour

19 Christopher looked at his quiz scores shown below for the first andsecond semester of his Algebra class.

Semester 1: 78, 91, 88, 83, 94Semester 2: 91, 96, 80, 77, 88, 85, 92

Which statement about Christopher’s performance is correct?

(1) The interquartile range for semester 1 is greater than theinterquartile range for semester 2.

(2) The median score for semester 1 is greater than the medianscore for semester 2.

(3) The mean score for semester 2 is greater than the mean scorefor semester 1.

(4) The third quartile for semester 2 is greater than the third quartile for semester 1.

(1,40)

(2,110)

(4,180)

(6,230)

(8,350)(10,390)

Elapsed Time (hours)

Dis

tan

ce T

rave

led

(m

iles)

14. Which system of equations has the same solution as the system below? 2x + 2y = 16 3x – y = 4(1) 2x + 2y = 16 (2) 2x + 2y = 16 (3) x + y = 16 (4) 6x + 6y = 48 6x – 2y = 4 6x – 2y = 8 3x – y = 4 6x + 2y = 8 14 ____

15. The table below represents the function F.

The equation that represents this function is(1) F(x) = 3x (2) F(x) = 3x (3) F(x) = 2x + 1 (4) F(x) = 2x + 3 15 ____

16. John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?(1) 0.10(x + 4) + 0.05(x) = $1.25 (3) 0.10(4x) + 0.05(x) = $1.25(2) 0.05(x + 4) + 0.10(x) = $1.25 (4) 0.05(4x) + 0.10(x) = $1.25 16 ____

17. If f(x) = 13x + 9, which statement is always true?(1) f(x) < 0 (3) If x < 0, then f(x) < 0.(2) f(x) > 0 (4) If x > 0, then f(x) > 0. 17 ____

18. The Jamison family kept a log of the distance they traveled during a trip, as represented by the accompanying graph. During which interval was their average speed the greatest?(1) the first hour to the second hour(2) the second hour to the fourth hour(3) the sixth hour to the eighth hour(4) the eighth hour to the tenth hour 18 ____

19. Christopher looked at his quiz scores shown below for the first andsecond semester of his Algebra class. Semester 1: 78, 91, 88, 83, 94 Semester 2: 91, 96, 80, 77, 88, 85, 92Which statement about Christopher’s performance is correct?(1) The interquartile range for semester 1 is greater than theinterquartile range for semester 2.(2) The median score for semester 1 is greater than the median score for semester 2.(3) The mean score for semester 2 is greater than the mean score for semester 1.(4) The third quartile for semester 2 is greater than the thirdquartile for semester 1. 19 ____


20. The graph of y = f(x) is shown to the right.Which point could be used to find f(2)?(1) A (3) C(2) B (4) D

20 ____

21. A sunflower is 3 inches tall at week 0 and grows 2 inches each week.Which function(s) shown below can be used to determine the height, f(n), of the sunflower in n weeks? I. f(n) = 2n + 3 II. f(n) = 2n + 3(n – 1) III. f(n) = f(n – 1) + 2 where f(0) = 3(1) I and II (2) II, only (3) III, only (4) I and III 21 ____

22. A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user’s monthly bill?(1) c = 60 – 0.05d (3) c = 60d – 0.05(2) c = 60.05d (4) c = 60 + 0.05d 22 ____

23. The formula for the volume of a cone is V = 13πr2h. The radius, r,of the cone may be expressed as

(1) 3Vh≠

(2) Vh3≠

(3) 3 Vh≠

(4) 13

Vh≠

23 ____

24. The diagrams below represent the first three terms of a sequence.

Assuming the pattern continues, which formula determines an ,the number of shaded squares in the nth term?(1) an = 4n + 12 (2) an = 4n + 8 (3) an = 4n + 4 (4) an = 4n + 2 24 ____


Use this space forcomputations.20 The graph of y � f(x) is shown below.

Which point could be used to find f(2)?

(1) A (3) C

(2) B (4) D

21 A sunflower is 3 inches tall at week 0 and grows 2 inches each week.Which function(s) shown below can be used to determine theheight, f(n), of the sunflower in n weeks?

I. f(n) � 2n � 3

II. f(n) � 2n � 3(n � 1)

III. f(n) � f(n � 1) � 2 where f(0) � 3

(1) I and II (3) III, only

(2) II, only (4) I and III

y

xC

D

B

A


Use this space forcomputations.22 A cell phone company charges $60.00 a month for up to 1 gigabyte

of data. The cost of additional data is $0.05 per megabyte. If drepresents the number of additional megabytes used and crepresents the total charges at the end of the month, which linearequation can be used to determine a user’s monthly bill?

(1) c � 60 � 0.05d (3) c � 60d � 0.05

(2) c � 60.05d (4) c � 60 � 0.05d

23 The formula for the volume of a cone is V �1__3 πr2h. The radius, r,

of the cone may be expressed as

(1) (3)

(2) (4)

24 The diagrams below represent the first three terms of a sequence.

Assuming the pattern continues, which formula determines an, the number of shaded squares in the nth term?

(1) an � 4n � 12 (3) an � 4n � 4

(2) an � 4n � 8 (4) an � 4n � 2

Term 3Term 2Term 1

Vh3π

13

Vhπ

3Vhπ

3 Vhπ

π π π π

ALGEBRA 1 June 2014

29

Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings,which should be done in pencil. [16]

25. Draw the graph of y = x – 1 on the set of axes below.

26. The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(0.5)t, where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.

27. Given 2x + ax – 7 > – 12, determine the largest integer value of a when x = – 1.

y

x


28. The vertex of the parabola represented by f(x) = x2 – 4x + 3 has coordinates (2, –1). Find the coordinates of the vertex of the parabola defined by g(x) = f(x – 2). Explain how you arrived at your answer. [The use of the set of axes below is optional.]

29. On the set of axes below, draw the graph of the equation y = – 34 x + 3.

Is the point (3, 2) a solution to the equation? Explain your answer based on the graph drawn.

y

x

y

x

ALGEBRA 1 June 2014

31

32 Robin collected data on the number of hours she watched television on Sunday through Thursdaynights for a period of 3 weeks. The data are shown in the table below.

Using an appropriate scale on the number line below, construct a box plot for the 15 values.

Sun Mon Tues Wed Thurs

Week 1 4 3 3.5 2 2

Week 2 4.5 5 2.5 3 1.5

Week 3 4 3 1 1.5 2.5


32 Robin collected data on the number of hours she watched television on Sunday through Thursdaynights for a period of 3 weeks. The data are shown in the table below.


Sun Mon Tues Wed Thurs

Week 1 4 3 3.5 2 2

Week 2 4.5 5 2.5 3 1.5

Week 3 4 3 1 1.5 2.5


30. The function f has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}.Could f be represented by {(1, 2), (3, 4), (5, 6), (7, 2)}? Justify your answer.

31. Factor the expression x4 + 6x2 – 7 completely.

32. Robin collected data on the number of hours she watched television on Sunday through Thursday nights for a period of 3 weeks. The data are shown in the table below.




33. Write an equation that defines m(x) as a trinomial where m(x) = (3x – 1)(3 – x) + 4x2 + 19.

Solve for x when m(x) = 0.

34. A rectangular garden measuring12 meters by 16 meters is to have a walkway installed around it with a width of x meters, as shown in the accompanying diagram. Together, the walkway and the garden have an area of 396 square meters.

Write an equation that can be used to find x, the width of the walkway.

Describe how your equation models the situation.

Determine and state the width of the walkway, in meters.


34 A rectangular garden measuring 12 meters by 16 meters is to have a walkway installed around itwith a width of x meters, as shown in the diagram below. Together, the walkway and the gardenhave an area of 396 square meters.

Write an equation that can be used to find x, the width of the walkway.

Describe how your equation models the situation.

Determine and state the width of the walkway, in meters.

16 mx

x

x x

12 mGarden

Walkway

ALGEBRA 1 June 2014

33

35. Caitlin has a movie rental card worth $175. After she rents the first movie, the card’s value is $172.25. After she rents the second movie, its value is $169.50. After she rents the third movie, the card is worth $166.75.

Assuming the pattern continues, write an equation to define A(n), the amount of money on the rental card after n rentals.

Caitlin rents a movie every Friday night. How many weeks in a row can she afford to rent a movie, using her rental card only? Explain how you arrived at your answer.

36. An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday.

Write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday.

Pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are Pat’s numbers possible? Use your equation to justify your answer.

Later, Pat found a record showing that there were a total of 22 cats and dogs at the shelter on Wednesday. How many cats were at the shelter on Wednesday?



37 A company is considering building a manufacturing plant. They determine the weekly productioncost at site A to be A(x) � 3x2 while the production cost at site B is B(x) � 8x � 3, where xrepresents the number of products, in hundreds, and A(x) and B(x) are the production costs, inhundreds of dollars.

Graph the production cost functions on the set of axes below and label them site A and site B.

y

x

Number of Products(hundreds)

Co

st (

hund

reds

of d

olla

rs)

1 2 3 4

10

20

30

40

50

Part IV

Answer the question in this part. A correct answer will receive 6 credits. Clearly indicatethe necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.A correct numerical answer with no work shown will receive only 1 credit. The answer shouldbe written in pen. [6]

Question 37 is continued on the next page.

Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. The answer should be written in pen. [6]

37. A company is considering building a manufacturing plant. They determine the weekly production cost at site A to be A(x) = 3x2 while the production cost at site B is B(x) = 8x + 3, where x represents the number of products, in hundreds, and A(x) and B(x) are the production costs, in hundreds of dollars.

Graph the production cost functions on the accompanyingset of axes and label them site A and site B.

State the positive value(s) of x for which the production costs at the two sites are equal. Explain how you determined your answer.

If the company plans on manufacturing 200 products per week, which site should they use? Justify your answer

ALGEBRA 1 August 2014

35


1. Which statement is not always true?(1) The product of two irrational numbers is irrational.(2) The product of two rational numbers is rational.(3) The sum of two rational numbers is rational.(4) The sum of a rational number and an irrational number is irrational. 1 _____

2. A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 40 + 90x. Which statement represents the meaning of each part of the function?(1) y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.(3) x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.(4) x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month. 2 _____

3. If 4x2 – 100 = 0, the roots of the equation are(1) –25 and 25 (2) –25, only (3) –5 and 5 (4) –5, only 3 _____

4. Isaiah collects data from two different companies, each with four employees. The results of the study, based on each worker’s age and salary, are listed in the accompanying tables.

Which statement is true about these data?(1) The median salaries in both companies are greater than $37,000.(2) The mean salary in company 1 is greater than the mean salary in company 2.(3) The salary range in company 2 is greater than the salary range in company 1.(4) The mean age of workers at company 1 is greater than the meanage of workers at company 2. 4 _____

5. Which point is not on the graph represented by y = x2 + 3x – 6?(1) (–6, 12) (2) (–4, –2) (3) (2, 4) (4) (3, –6) 5 _____

36 ALGEBRA 1 August 2014

6. A company produces x units of a product per month, where C(x) represents the total cost and R(x) represents the total revenue for the month. The functions are modeled by C(x) = 300x + 250 and R(x) = –0.5x2 + 800x – 100. The profit is the difference between revenue and cost where P(x) = R(x) – C(x). What is the total profit, P(x), for the month?(1) P(x) = –0.5x2 + 500x – 150 (3) P(x) = –0.5x2 – 500x + 350(2) P(x) = –0.5x2 + 500x – 350 (4) P(x) = –0.5x2 + 500x + 350 6 _____

7. What is one point that lies in the solution set of the system of inequalities graphed?(1) (7, 0)(2) (3, 0)(3) (0, 7)(4) (–3, 5) 7 _____

8. The value of the x-intercept for the graph of 4x – 5y = 40 is

(1) 10 (2) 45 (3) – 45 (4) –8 8 _____

9. Sam and Jeremy have ages that are consecutive odd integers.The product of their ages is 783. Which equation could be used tofind Jeremy’s age, j, if he is the younger man?(1) j 2 + 2 = 783 (2) j 2 – 2 = 783 (3) j 2 + 2j = 783 (4) j 2 – 2j = 783 9 _____

10. A population that initially has 20 birds approximately doubles every10 years. Which graph represents this population growth?

(1) (2) (3) (4) 10 ____

11. Let f be a function such that f(x) = 2x – 4 is defined on the domain2 ≤ x ≤ 6. The range of this function is(1) 0 ≤ y ≤ 8 (2) 0 ≤ y < ∞ (3) 2 ≤ y ≤ 6 (4) –∞ < y < ∞ 11 ____

12. Which situation could be modeled by using a linear function?(1) a bank account balance that grows at a rate of 5% per year, compounded annually(2) a population of bacteria that doubles every 4.5 hours(3) the cost of cell phone service that charges a base amount plus20 cents per minute(4) the concentration of medicine in a person’s body that decays bya factor of one-third every hour 12 ____


37

13. Which graph shows a line where each value of y is three more thanhalf of x?

(1) (2) (3) (4) 13 ____

14. The accompanying table shows the average diameter of a pupil in a person’seye as he or she grows older.What is the average rate of change, in millimeters per year, of a person’s pupil diameter from age 20 to age 80?(1) 2.4 (3) –2.4(2) 0.04 (4) –0.04 14 ____

15. Which expression is equivalent to x4 – 12x2 + 36?(1) (x2 – 6)(x2 – 6) (3) (6 – x2)(6 + x2)(2) (x2 + 6)(x2 + 6) (4) (x2 + 6)(x2 – 6) 15 ____

16. The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1, which is an equation for the nth term of thissequence?(1) an = 8n + 10 (3) an = 16n + 10(2) an = 8n – 14 (4) an = 16n – 38 16 ____

17. The graph of the equation y = ax2 is shown.If a is multiplied by – 1

2, the

graph of the new equation is(1) wider and opens downward(2) wider and opens upward(3) narrower and opens downward(4) narrower and opens upward

17 ____

18. The zeros of the function f(x) = (x + 2)2 – 25 are(1) –2 and 5 (2) –3 and 7 (3) –5 and 2 (4) –7 and 3 18 ____


19. During the 2010 season, football player McGee’s earnings, m, were0.005 million dollars more than those of his teammate Fitzpatrick’s earnings, f. The two players earned a total of 3.95 million dollars. Which system of equations could be used to determine the amount each player earned, in millions of dollars?(1) m + f = 3.95 (3) f – 3.95 = m m + 0.005 = f m + 0.005 = f(2) m – 3.95 = f (4) m + f = 3.95 f + 0.005 = m f + 0.005 = m 19 ____

20. What is the value of x in the equation x− + =23

16

56

?

(1) 4 (2) 6 (3) 8 (4) 11 20 ____

21. The accompanying table shows the number of grams of carbohydrates, x, and the number of Calories, y, of six different foods.Which equation best represents the line of best fit for this set of data?(1) y = 15x (3) y = 0.1x – 0.4(2) y = 0.07x (4) y = 14.1x + 5.8 21 ____

22. A function is graphed on the set of axes to the right.Which function is related to the graph?

(1) (3)

(2) (4) 22 ____

23. The function h(t) = –16t2 + 144 represents the height, h(t), in feet, ofan object from the ground at t seconds after it is dropped. A realisticdomain for this function is(1) –3 ≤ t ≤ 3 (3) 0 ≤ h(t) ≤ 144(2) 0 ≤ t ≤ 3 (4) all real numbers 23 ____

24. If f(1) = 3 and f(n) = –2f(n – 1) + 1, then f(5) =(1) –5 (2) 11 (3) 21 (4) 43 24 ____


39


25. In the equation x2 + 10x + 24 = (x + a) (x + b), b is an integer. Find algebraically all possible values of b.

26. Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. Write an equation that can be used to find B, her account balance after t years.

27. Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the value of x, in dollars, that will make their weekly pay the same.

28. Express the product of 2x2 + 7x – 10 and x + 5 in standard form.


29. Let f be the function represented by the accompanying graph.

Let g be a function such that g(x) = – 1

2x2 + 4x + 3.

Determine which function has the larger maximum value.

Justify your answer.

30. Solve the inequality below to determine and state the smallest possible value for x in the solution set.

3(x + 3) ≤ 5x – 3


41

31. The table below represents the residuals for a line of best fit.

Plot these residuals on the set of axes below.Using the plot, assess the fit of the line for these residuals and justify your answer.

32. A student was given the equation x2 + 6x – 13 = 0 to solve by completing the square. The first step that was written is shown below.

x2 + 6x = 13

The next step in the student’s process was x2 + 6x + c = 13 + c.

State the value of c that creates a perfect square trinomial.

Explain how the value of c is determined.


Part IIIAnswer all 4 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16]

33. On the axes, graph f(x) = |3x|.

If g(x) = f(x) – 2, how is the graph of f(x) translated to form the graph of g(x)?

If h(x) = f(x – 4), how is the graph of f(x) translated to form the graph of h(x)?

34. The formula for the area of a trapezoid is A = 12

h(b1 + b2). Express b1 in terms of A, h, and b2.

The area of a trapezoid is 60 square feet, its height is 6 ft, and one base is 12 ft. Find the number of feet in the other base.

y

x


43

35. Let f(x) = –2x2 and g(x) = 2x – 4. On the set of axes below, draw the graphs of y = f(x) and y = g(x).

Using this graph, determine and state all values of x for which f(x) = g(x).

36. A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer field must be 40 yards longer than its width. Determine algebraically the dimensions of the soccer field, in yards.

y

x


Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be written in pencil. [6]

37. Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs. She is able to work no more than 15 hours a week, due to school commitments. Edith wants to earn at least $80 a week, working a combination of both jobs.

Write a system of inequalities that can be used to represent the situation.

Graph these inequalities on the set of axes below.

Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours.

ALGEBRA 1 January 2015

45


1. The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 – 22x. In this function, x represents the number of(1) computers repaired per week (3) customers served per week(2) hours worked per week (4) days worked per week 1 _____

2. Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds.He converts his speed into miles per hour, as shown below.

404 5

31

52801

601

601

yd ftyd

ftmi

secmin

minhr. sec

Which ratio is incorrectly written to convert his speed?

(1) 31ftyd

(2) 52801

ftmi

(3) 601secmin

(4) 601minhr

2 _____

3. Which equation has the same solutions as 2x2 + x – 3 = 0?(1) (2x – 1)(x + 3) = 0 (3) (2x – 3)(x + 1) = 0(2) (2x + 1)(x – 3) = 0 (4) (2x + 3)(x – 1) = 0 3 _____

4. Krystal was given $3000 when she turned 2 years old. Her parentsinvested it at a 2% interest rate compounded annually. No deposits orwithdrawals were made. Which expression can be used to determinehow much money Krystal had in the account when she turned 18?(1) 3000(1 + 0.02)16 (3) 3000(1 + 0.02)18

(2) 3000(1 – 0.02)16 (4) 3000(1 – 0.02)18 4 _____

5. Which table of values represents a linear relationship?

(1) (2) (3) (4) 5 _____

6. Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?(1) integers (3) irrational numbers(2) whole numbers (4) rational numbers 6 _____

x f(x) –1 –3 0 –2 1 1 2 6 3 13

x f(x) –1 1

2 0 1 1 2 2 4 3 8

x f(x) –1 –3 0 –1 1 1 2 3 3 5

x f(x) –1 –1 0 0 1 1 2 8 3 27

• • • •

46 ALGEBRA 1 January 2015

7. The inequality 7 – 23

x < x – 8 is equivalent to

(1) x > 9 (2) x > – 35

(3) x < 9 (4) x < – 35

7 _____

8. The value in dollars, v(x), of a certain car after x years is representedby the equation v(x) = 25,000(0.86)x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?(1) 2589 (2) 6510 (3) 15,901 (4) 18,490 8 _____

9. Which function has the same y-intercept as the accompanying graph?

(1) yx= −12 6

4

(2) 27 + 3y = 6x

(3) 6y + x = 18

(4) y + 3 = 6x 9 _____

10. Fred is given a rectangular piece of paper. If the length of Fred’spiece of paper is represented by 2x – 6 and the width is representedby 3x – 5, then the paper has a total area represented by(1) 5x – 11 (2) 6x2 – 28x + 30 (3) 10x – 22 (4) 6x2 – 6x – 11 10 ____

11. The graph of a linear equation contains the points ( 3, 11) and (–2, 1).Which point also lies on the graph?(1) (2, 1) (2) (2, 4) (3) (2, 6) (4) (2, 9) 11 ____

12. How does the graph of f(x) = 3(x – 2)2 + 1 compare to the graphof g(x) = x2?(1) The graph of f(x) is wider than the graph of g(x), and its vertex is moved to the left 2 units and up 1 unit.(2) The graph of f(x) is narrower than the graph of g(x), and its vertex is moved to the right 2 units and up 1 unit.(3) The graph of f(x)) is narrower than the graph of g(x), and its vertex is moved to the left 2 units and up 1 unit.(4) The graph of f(x) is wider than the graph of g(x), and its vertex is moved to the right 2 units and up 1 unit. 12 ____

13. Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?(1) 0.79 + 4.50r ≤ 16.00; 3 rides (3) 4.50 + 0.79r ≤ 16.00; 14 rides(2) 0.79 + 4.50r ≤ 16.00; 4 rides (4) 4.50 + 0.79r ≤ 16.00; 15 rides 13 ____

y

x


47

πππ

14. Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination. She would like to choose a destination with a high median temperature and a small interquartile range. She constructed box plots shown in the diagram below.

Which destination has a median temperature above 80 degrees andthe smallest interquartile range?(1) Ocean Beach (3) Serene Shores(2) Whispering Palms (4) Pelican Beach 14 ____

15. Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000(0.98)x represents the value, y, of one account that was left inactive for a period of x years.What is the y-intercept of this equation and what does it represent?(1) 0.98, the percent of money in the account initially(2) 0.98, the percent of money in the account after x years(3) 5000, the amount of money in the account initially(4) 5000, the amount of money in the account after x years 15 ____

16. The equation for the volume of a cylinder is V = πr2h. The positivevalue of r, in terms of h and V, is

(1) r Vh

= (2) r V h= (3) r = 2Vπh (4) r V=2 16 ____

17. Which equation has the same solutions as x2 + 6x – 7 = 0?(1) (x + 3)2 = 2 (2) (x – 3)2 = 2 (3) (x – 3)2 = 16 (4) (x + 3)2 = 16 17 ____

18. Two functions, y = |x – 3| and 3x + 3y = 27, are graphed on the same set of axes. Which statement is true about the solution to the system of equations?(1) (3, 0) is the solution to the system because it satisfies the equation y = |x – 3|.(2) (9, 0) is the solution to the system because it satisfies the equation 3x + 3y = 27.(3) (6, 3) is the solution to the system because it satisfies both equations.(4) (3, 0), (9, 0), and (6, 3) are the solutions to the system of equationsbecause they all satisfy at least one of the equations. 18 ____

19. Miriam and Jessica are growing bacteria in a laboratory. Miriam uses the growth function f(t) = n2t while Jessica uses the function g(t) = n4t, where n represents the initial number of bacteria and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start with to achieve the same growth over time?(1) 32 (2) 16 (3) 8 (4) 4 19 ____


20. If a sequence is defined recursively by f(0) = 2 and f(n + 1) = –2f(n) + 3 for n ≥ 0, then f(2) is equal to(1) 1 (2) –11 (3) 5 (4) 17 20 ____

21. An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?(1) 12 (2) 20 (3) 60 (4) 80 21 ____

22.When factored completely, the expression p4 – 81 is equivalent to(1) (p2 + 9)(p2 – 9) (3) (p2 + 9)(p + 3)(p – 3)(2) (p2 – 9)(p2 – 9) (4) (p + 3)(p – 3)(p + 3)(p – 3) 22 ____

23. In 2013, the United States Postal Service charged $0.46 to mail a letter weighing up to 1 oz. and $0.20 per ounce for each additional ounce. Which function would determine the cost, in dollars, c(z), of mailing a letter weighing z ounces where z is an integer greater than 1?(1) c(z) = 0.46z + 0.20 (3) c(z) = 0.46(z – 1) + 0.20(2) c(z) = 0.20z + 0.46 (4) c(z) = 0.20(z – 1) + 0.46 23 ____

24. A polynomial function contains the factors x, x – 2, and x + 5.Which graph(s) below could represent the graph of this function?

(1) I, only (2) II, only (3) I and III (4) I, II, and III 24 ____


25. Ms. Fox asked her class “Is the sum of 4.2 and 2 rational or irrational?” Patrick answered that the sum would be irrational.State whether Patrick is correct or incorrect. Justify your reasoning.


49

26. The school newspaper surveyed the student body for an article about club membership. The accompanying table shows the number of students in each grade level who belong to one or more clubs.

If there are 180 students in ninth grade, what percentage of the ninth grade students belong to more than one club?

27. A function is shown in the accompanying table. If included in the table, which ordered pair, (–4, 1) or (1, –4), would result in a relation that is no longer a function? Explain your answer.

28. Subtract 5x2 + 2x – 11 from 3x2 + 8x – 7. Express the result as a trinomial.

29. Solve the equation 4x2 – 12x = 7 algebraically for x.

x f(x) –4 2 –1 –4 0 –2 3 16


30. Graph the following function on the set of accompanying axes.

f(x) = { |x|, –3 ≤ x < 1 4, 1 ≤ x ≤ 8

31. A gardener is planting two types of trees: Type A is three feet tall and grows at a rate of 15 inches per year. Type B is four feet tall and grows at a rate of 10 inches per year.Algebraically determine exactly how many years it will take for these trees to be the same height.

32. Write an exponential equation for the graph shown to the right.

Explain how you determined the equation.

f(x)

x


51


33. Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.

34. The graph of an inequality is shown to the right.a) Write the inequality represented by the graph.

b) On the same set of axes, graph the inequality x + 2y < 4.

c) The two inequalities graphed on the set of axes form a system. Oscar thinks that the point (2, 1) is in the solution set for this system of inequalities. Determine and state whether you agree with Oscar. Explain your reasoning.


35. A nutritionist collected information about different brands of beef hot dogs. She made a table showing the number of Calories and theamount of sodium in each hot dog. a) Write the correlation coefficient for the line of best fit. Round your answer to the nearest hundredth.

b) Explain what the correlation coefficient suggests in the context of this problem.

36. a) Given the function f(x) = –x2 + 8x + 9, state whether the vertex represents a maximum or minimum point for the function. Explain your answer.

b) Rewrite f(x) in vertex form by completing the square.

Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be written in pencil. [6]

37. New Clarendon Park is undergoing renovations to its gardens. One garden that was originally a square is being adjusted so that one side is doubled in length, while the other side is decreased by three meters.

The new rectangular garden will have an area that is 25% more than the original square garden. Write an equation that could be used to determine the length of a side of the original square garden.

Explain how your equation models the situation.

Determine the area, in square meters, of the new rectangular garden.

ALGEBRA 1Correlation

ofStandards

54 Correlation of Standards

QUESTION STANDARD

TEST 1 TEST 2 TEST 3

1 A.REI.3 A.SSE.3 A.APR.1

2 F.IF.1 A.APR.1 A.REI.4

3 F.IF.2 A.REI.4 A.CED.4

4 S.ID.2 F.LE.1 A.CED.3

5 A.APR.1 F.LE.2 F.IF.2

6 A.APR.1 S.ID.2 A.REI.4

7 F.IF.7 A.CED.4 F.IF.5

8 F.LE.2 F.IF.7 S.ID.2

9 A.SSE.2 F.IF.5 S.ID.5

10 S.ID.6 8.G.B.7 F.BF.1

11 F.IF.4 S.ID.9 A.PRR.1

12 F.IF.5 S.ID.5 S.ID.9

13 8.GB.6 A.REI.10 F.IF.9

14 F.IF.7 F.IF.6 8.G.B.6

15 F.IF.6 F.IF.7 N.Q.2

16 A.SSE.1 F.LE.3 A.CED.2

17 F.IF.3 F.LE.1 A.APR.1

18 F.IF.4 A.CED.2 F.IF.6

19 S.ID.5 F.1F.2 F.LE.1

20 A.REI.10 A.REI.4 S.ID.6

21 A.CED.2 F.BF.3 A.REI.4

22 A.SSE.2 S.ID.2 A.SSE.1

23 F.IF.4 A.SSE.3 S.ID.8

24 A.REI.11 A.REI.12 A.REI.3

Correlation of Standards 55

QUESTION STANDARD

TEST 1 TEST 2 TEST 3

25 F.IF.6 A.SSE.3 F.IF.3

26 A.SSE.3 F.IF.7 F.BF.3

27 A.REI.12 A.SSE.3 A.REI.5

28 A.REI.4 F.IF.2 A.CED.3

29 A.CED.1 8.G.B.7 F.IF.7

30 A.REI.11 A.SSE.2 N.RN.3

31 F.IF.2 A.APR.1 F.BF.1

32 F.IF.8 F.IF.2 F.BF.1

33 A.REI.12 F.IF.3 A.REI.1

34 N.Q.1 A.CED.1 S.ID.1

35 F.IF.7 S.ID.6 S.ID.6

36 S.ID.1 F.IF.8 F.IF.7

37 A.REI.6 F.IF.7 F.IF.7

56 Correlation of Standards

QUESTION STANDARD

JUNE 2014 AUGUST 2014 JANUARY 2015

1 A-REI.A N-RN.B A-SSE.A

2 F-IF.B F-LE.B N-Q.A

3 A-APR.A A-REI.B A-SSE.B

4 A-REI.D S-ID.A F-BF.A

5 A-REI.B A-REI.D F-LE.A

6 F-LE.A A-APR.A F-IF.B

7 F-LE.B A-REI.D A-REI.B

8 A-REI.B F-IF.C F-IF.A

9 F-IF.B A-CED.A F-IF.C

10 A-REI.B F-LE.A A-APR.A

11 S-ID.C F-IF.A A-REI.D

12 A-SSE.B F-LE.A F-BF.B

13 N-RN.B A-CED.A A-CED.A

14 A-REI.C F-IF.B S-ID.A

15 F-LE.A A-SSE.A F-IF.B

16 A-CED.A F-LE.A A-CED.A

17 F-IF.A F-BF.B A-REI.B

18 F-IF.B F-IF.C A-REI.D

19 S.ID.A A-CED.A A-SSE.B

20 F.IF.A A-REI.B F-IF.A

21 F.IF.A S-ID.B F-IF.B

22 A.CED.A F-IF.C A.SSE.A

23 A.CED.A F-IF.B A-CED.A

24 F.LE.A F-IF.A A-APR.B

Correlation of Standards 57

QUESTION STANDARD

JUNE 2014 AUGUST 2014 JANUARY 2015

25 F.IF.C A-SSE.B N-RN.B

26 F.LE.B F-BF.A S-ID.B

27 A.REI.B A-REI.C F-IF.A

28 F.BF.B A-APR.A A-APR.A

29 A.REI.D F-IF.C A-REI.B

30 F.IF.A A-REI.B F-IF.C

31 A.SSE.A S-ID.B A-CED.A

32 S.ID.A A-REI.B F-LE.A

33 A.REI.B F-BF.B A-CED.A

34 A.CED.A A-CED.A A-REI.D

35 F.BF.A A-REI.D S-ID.C

36 A.CED.A A-CED.A F-IF.C

37 A.REI.D A-CED.A A-CED.A

A quick reference guide for the

NEW COMMON CORE STANDARDS of ALGEBRA 1

• Loaded with lots of examples

• ISBN #978-1-929099-32-0

WEBSITE: www.topicalrbc.com E-MAIL: [email protected]

PRODUCING TEST REVIEW MATERIAL SINCE 1936.

AVAILABLE ONLY AT THE

TOPICAL REVIEW BOOK COMPANY

Written by:MaryAnn Casey

Topical Review Book Company

ALGEBRA 1MADE EASYCommon Core Standards

Edition

Documents

ALGEBRA 1 - Scarsdale Public Schools / · PDF file17. A sequence is defined recursively by f(1) =16 and f(n) = f(n – 1) + 2n. ... Jonathan has been on a diet since January 2013