Prentice Hall Algebra 1 Cumulative Review Chapters 1-8

Name

Class

Date

Cumulative Review  Chapter 1

Multiple Choice For Exercises 1–10, choose the correct letter.

1.  Which property is illustrated by (3 1 5) A.  Additive Identity B.  Associative Property of Addition

1

7

3 1 (5 1 7)? B C. Commutative Property of Addition D. Distributive Property  5

represents the statement “4 more than the 2.  Which algebraic expression represents product of 6 and a number”? I F. 4n 1 6 H. 4 2 6n G. 6 2 4n I. 6n 1 4 3.  What is the value of 29 A. 226 B.

(23 210 1

2

32)? B C.

8

D.

2

4

2

49? G 4.  What is the value of ! 49? F. ! 7

G. 7

H. 14

12, 5.  What is the order of the numbers ! 12, 5 2 12, 23.5, 3, 23 A. ! 12, 5 2 12, 3, 23, 23.5 B. ! 12,

5

I. 49 2

3.5, 3 , 23  from least to greatest? D

2

2

5

3.5, 23, ! 12, 12, 3 2 5 12 D. 23.5, 23, 3, ! 12 C.

2

6.  Which ordered pair is not a solution of  y  5 2 x  1 1? H F. (3, 7) G. (0, 1) H. (21, 1)

I. (23, 25)

7.  Which expression is equivalent to 23.2(2 x  2 2.1)? A A. 26.4 x  1 6.72 C. 6.4 x  1 6.72 B. 26.4 x  2 6.72 D. 26.4 x  1 2.1 8. oby purchased 5 tickets online for a show. T e tickets cost $12 each plus there was a $3.50 service fee for the order order.. How much money did oby spend for the tickets? I F. $15.50 G. $51.50 H. $60 I. $63.50 9.  What is the value of 33 2 (42 A. 21 B. 7

2

23)? C C. 19

)? F  10.  Which expression is equivalent to 4(2 x  1 1) 2 (26 x )? F. 14 x  1 4 G. 8 x  2 2 H. 2 x  1 4

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101

D. 35

I.

14 x  2 4

2

Name

Class

Cumulative Review

Date

(continued)

Chapter 1  11. In the absence of predators, the rabbit population in a forest has grown to 56 over the past 5 years. What is the rabbit population in the forest? 15,625

 12. Cherie is laying square tiles on her square kitchen �oor. She buys the tiles for

$2 per square foot tile. If her total estimated cost for the tiles is $288, what is the length of her �oor in feet? 12 ft  13. Simplify 82

4

4

1

3(6

 14.  What is the value of 3

2

1

3)

1

23 . 33

| x  2 2| for  x  5

 15. Evaluate  x ( y  2 z )2  for  x  5

3? 8

2

1,  y  5 5, and z  5

2

3.

2

64

2

 16.  Write an equation for the sentence: the difference of 6n and 25 is 213. 6n

1

a

5 5 213

 17. Vocabulary  What type of number can be written in the form , where a and b b are integers, and b 2 0? rational number

 18. Simplify ( x 2

1

6)

2

(3 x 2

2

2 x  2 5).

2 x 2

2

1

 19.  What is the solution of the equation 9 x  1 12

2 x  1 11

5

39? 3

 20. Jack is taking his family to the fair. He plans to take $5 for each admission

ticket plus $35 for food. Write an equation that models the amount of money Jack takes to the fair. d  5 5t  1 35

 21.  What is the value of the expression (27)(3)

2

(5)(23)?

6

2

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102

Name

Class

Date

Cumulative Review  Chapters 1-2

Multiple Choice For Exercises 1–10, choose the correct letter.

1.  Which algebraic expression represents 15 less than the product of 7 and a number? B A. 15 2 7n C. 15(7n) B. 7n

2

15

D. 7(n

2

2.  Which of the following is the correct simpli�cation of 7 17 F. 228 G. 2 2 H. 25 3.  What is the value of A.

2

5 8

3m2 2 mn  when 2mn2 1 B. 28

4.  What is the solution of 26 x  1 15 F. 23 G. 22 5.  What is the solution of 4 x  2 6 3 A. 22 B. 21 3 6.  What is the solution of 5 F. 1

5

1 and n

m 5 2

15) ?

5

42

4

8

2

12? I I. 2

2? A

1 C. 8

D. 8

H. 3

I. 6

5

3? H

5 2

6

5 2  x  2

4? C 1 C. 5

D. 1

x 

15 ? H

G. 6

H. 9

I. 25

7.  A scale drawing of a building has the scale 0.5 in. : 6 ft. A wall is 30 ft long. How long will the wall be on the drawing? B A. 1.5 in. B. 2.5 in. C. 6 in. D. 360 in. 8.  What is the simpli�ed form of the expression " 225? G F. 225 G. 15 H. 20 9.  Which property is illustrated by 45 1 19 A. Commutative Property of Addition

5

45? A C.  Associative Property of Addition

19

B. Identity Property of Addition

I. does not simplify 

1

D. Zero Property of Addition

 10.  What percent of 86 is 50 to the nearest whole percent? G F. 43% G. 58% H. 59%

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I. 172%

Name

Class

Cumulative Review

Date

(continued)

Chapters 1-2  11.  A store’s cost for a stereo was $27. Te markup was 75%. A customer purchased it on sale at 40% off the marked up price. What was the purchase price of the stereo? $28.35  12. Evaluate each expression for  x  5 3  and  y  5 2 . a.

24 x  1

3 y 

b.

6

2

 x 2 2 y 

4 x 

7 12

 13. Find the percent of decrease for each situation. a. $250 is discounted to $212.50 15% b. $40 is discounted to $32 20%  14. Te school choir has 84 members. Te ratio of girls to boys in the choir is 3 : 4. How many members are girls? 36 girls Find each answer.

 15. Solve: 22(3 x  1 2) 3

 17. Solve: 4

5

 19. Solve: 6n

8  x  2

2

7

1

5

5

2 x  1 6

35 3

5 4

2

16. Simplify: 2" 169 18. Simplify: 14

35 7

20. Solve:

 x  2

1

2

1

5

2

13

2

3

8

 x  1

3

1

2

2

52

1

32 14

5 3

2

 21. Te scale of a map is 0.25 cm : 15 mi. Determine the distance between two cities that are 6.8 cm apart on the map. 408 mi  22. Te price of the car was marked as $14,000. Te end of the month sale has lowered the price to $12,500. What is the percent decrease to the nearest percent? about 11%  23. Four times the sum of a number and 23  is 4 more than twice the number.  Write and solve an equation to �nd the number. 4(n 1 (23)) 5 2n 1 4; 8  24. Jeremy is putting together a model rocket. Te scale is 1 cm : 50 ft. If the height of the actual rocket is 210 feet, how tall is the model? 4.2 cm  25. Writing Describe four different subsets of real numbers. Explain the differences between the various subsets. Give several examples of each subset. The counting numbers are 1, 2, 3 , 4, etc. The whole numbers are the counting numbers plus zero. Integers are the whole numbers and their opposites. Fractions are numbers used to express parts of the integers. Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

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Class

Date

Cumulative Review  Chapters 1–3

Multiple Choice For Exercises 1–9, choose the correct letter.

1.  Which of the following can be represented by this graph? D 2

A. 5

4 ,

b

6

8

,

11

10

12

B. 11

$

b

$

5

C. Z 8

2

b Z

5

8

D. Z b

2

8  Z

5

3

2.  Which inequality can be represented by this graph? H 2

F. 9

4 #

6

b

3. If 7 x  1 3 A. 223

#

5

8

10

4

12

G. b

$

9 or b

.

24, what is the value of 5 B. 27

4 2

H. b

#

4 or b

.

9

I. b

,

4 or b

.

4 x ? B C. 1

D. 17

4.  Which of the following sentences is represented by this graph? I 28 26 24 22

0

2

F. Te value of t  is greater than 25 or less than 1. G. Te value of t is between 25 and 1. H. Te value of t is greater than 25 and less than 1. I. Te value of t is less than or equal to 1 and greater than 25. 5. In which quadrant would the point (22, 4) be located? B A. I B. II C. III 6.  Which is not a subset of the set 5 1, 2, 3, 5 6 ? I F. 5 16 G. 5 1, 3, 5 6 H. ; 3 7.  What is the solution of 2.5 A. 90

5

D. IV 

I. 5 06

d  75  ? A

B. 62.5

C. 74.5

8.  What is the simpli�ed form of 23( x  1 4)? G F. 23 x  1 12 G. 23 x  2 12 H.

3 x  1 4

2

9.  What is the simpli�ed form of 5 2 4 y  1 2 x  2 3 y  2 2 1 5 x ? A A. 3 2 7 y  1 7 x  B. 3 1 7 y  1 7 x  C. 7 1 7 y  1 7 x  Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

91

D. 225

I.

3 x  1 1

2

D. 3

2  y  1

7 x 

9

Name

Class

Cumulative Review

Date

(continued)

Chapters 1–3 27.

 10. Evaluate each expression for  x  5 a. Z x  2 3 Z 10

b. Z x  1 3 Z 4

 11. Complete the table. n

5

2

n

3

5

n

4

5

5n   6

16

21

26

2n   15

19

21

23

 12. Evaluate b2  13. Simplify 4

2

2

4ac  for a

3(22

2

5 21, b 5 25,

 and c  5 2. 33

5). 7

 14. Javier is on a diet. He is supposed to eat at least 1500 but not more than

1800 calories per day. Before his last meal of the day, he had consumed 1150 calories. According to Javier’s diet plan, what number of calories may he consume at his last meal of the day? 350 K  x  K 650  15. Find three consecutive even integers whose sum is 66. 20, 22, 24 16. Translate the following sentence into an equation and then s olve. Four less than �ve times a number is 21. 5 x  2 4 5 21; n 5 5  17.  What is the intersection of the sets  A

5

5 2, 4, 6, 8, 10 6  and  B

5

5 1, 2, 3, 4, 5 6 ? 5 2, 46

Solve each equation.  18. n

1

 21. 2p

4

5

5 28

62 24

 24. Solve the inequality Z 9

2

 25. Solve and graph 15c  2 4 0

1

2

19. 3t  1 3

5 212 25

22. Z 4a

2 Z

3 g  Z

#

1

4b

5

21 K

12.

g

10 3 or K

22

7

4 5

1

2

d 

2c 

 for c . c  5 23ad  224bd  1

1

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92

5

20 3

23. 5k  1 6 5 5(k  1 1) no solution

12c  1 5  on the number line. c  K 3

3

 26. Solve the equation 3a

#

2

20. 2(3d  1 1)

Name

Class

Date

Cumulative Review  Chapters 1–4

Multiple Choice For Exercises 1–8, choose the correct letter.

1.  Which statement is equivalent to 4 x  2 6 y  1 8 y  2 6 x  2 12 y ? C A. 10 x  2 26 y  C. 22 x  2 10 y  B. 12 x  2 18 y  D. 212 y  4 2. Jacob scored 5 points more than 5  of Sarai’s test score. Which equation

represents the relationship between Jacob’s test score, J , and Sarai’s test score, S ? G 4 F. 5 J  1 5 5 S  4 G. 5 S  1 5 5  J 

4 H. 5  J  2 5 5 S  4 I. 5 S  2 5 5  J 

3. Te height of the �agpole, F , and the length of its shadow, S , are proportional

to Harry’s height, h, and the length of his shadow, l . Which proportion represents the relationship? A l  5 h S  B. 5 h

A.

S  F  l  F 

S  F  5 l  h h S  D. F  5 l 

C.

4.  Which ordered pair is a solution of  y  5 F. (0.5, 24) G. (2, 219) 5.  What is the value of 15 2 (62 A. 2104 B. 274

2

6 x  2 7? G H. (22, 25)

2

I. (3, 11)

52)? D C. 74

D. 4

6.  Which values of x  and y  will make the expression 3( 22 x  2  y )2  equal to 3? H F.  x  5 22 and  y  5 1 H.  x  5 21 and  y  5 3 G.  x  5 22 and  y  5 23 I.  x  5 21 and  y  5 23 7. Te sum of two consecutive integers is 153. Which equation can be used to �nd the �rst integer n? A A. 2n 1 1 5 153 C. n 1 1 5 153 B. 2n 5 153 D. 2n 1 2 5 153 8.  Which property is illustrated by a(b 1 c ) F.  Associative Property of Addition G.  Associative Property of Multiplication

5

ac ? I H. Commutative Property of Addition I. Distributive Property 

ab

1

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Cumulative Review

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(continued)

Chapters 1–4 9. Simplify 3(25 x  2 7) 221 x  2 21

2

(6 x ).

 10.  Admission to the movie is $7.50 for adults and $3.50 for students. Te theater’s

goal is to receive $1500 in revenue for the evening. Write an equation that models this relationship. 7.5a

1

3.5 s 5 1500

 11. Evaluate

3a(2b

2

2

4c ) for a

3, b

5 2

5

2, and c  5

7.

2

288  12. Te pro�t of a company is modeled by P  5 4t  1 15,500, where P  is the pro�t and t  is the time in months. What is the dependent variable? P  13. Use words to describe the relationship modeled by the equation  y  5 28 x  1 17.  y  is equal to 17 more than 28 times  x .  14. Simplify 93 88

4

33

2

5(8

2

4)

1

92 .

 15. Vocabulary  What is the term for a relation in which each input value

corresponds to exactly one output value? function  16. Simplify (ab2 2 25ab

2ab

1

1 1

10

a) a12 1

2

(6ab2

2

2ab

1

8).

 17.  What is the function rule that represents the relationship found in the

following ordered pairs? (25, 22), (10, 223), (4, 25), (27, 28), (6, 211)  A(n)

3n

5 2

1

7

 18.  What is the value of the expression (28)(6) 250

2

(24)(25)

1

(23)(26)?

 19.  A student wrote a number pattern such that each number is 3 more than 4

times the previous number. What is the sixth term in the pattern if the �rst term is 6? 7167  20. One lap around a track measures 400 meters. Kelvin runs 8 laps around the

track for a race. How many kilometers did he run? 3.2 km

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Cumulative Review  Chapters 1-5

Multiple Choice For Exercises 1–11, choose the correct letter.

1.  What is true about the graphs of y  5 A. Tey are parallel. B. Tey have the same slope.

24 x  1

1

6 and y  5 4 x  1 6? C C. Tey are perpendicular. D. Tey do not intersect.

2.  A mail order company sells boxes of �shing lures for $26.95 per box. A charge

of $8.95 is added to orders, regardless of the order size. Which of the following equations models the relationship between the number of boxes ordered and the total cost of the order? I F. c  5 26.95w ; w  $ 1 H. c  5 (26.95 1 8.95)w ; w  $ 1 G. 8.95c  5 26.95w ; w  $ 1 I. c  5 26.95w  1 8.95; w  $ 1 3.  Which of the following is the correct simplication of the expression

62

1

A. 63

15

4

3

1

4

3

3?

B

B. 53

C. 29

4.  Which is not  a solution of 3 x  2 5 F. 24 G. 5

,

D. 21

17? I H. 7

I. 12

5.  Which of the following statements is not  true for the graph of the equation 5 x  1 3 y  5 12? B A. Te y -intercept is 4. C. Te x -intercept is 2.4 2 D. Te line contains the point 2, 3 .

Q R

B. Te line has a positive slope.

6.  What is the constant of variation for 3 y  5 6 x ? G 1 F. 2 G. 2 H. 3 7.  What is  f  (24) when  f  ( x ) A. 24 B. 8

2

5 2 x  2

I. 6

2 x ? C C.

28

D.

224

8. Te Girl Scouts hoped to raise $1000 selling cookies. Instead, they raised $1050. What percent of their goal did they achieve? G F. 115% G. 105% H. 100% I. 95% 9.  Which of the following is the solution of 3(5 x  2 6) A. 23 B. 5 C. 3

5 263?

A

8 x  1 3 y 2  10.  What is 4 y  2 3 x   when x  5 2 and y  5 3? I F. 222 G. 28 H. 7.5

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D. 15

43 I. 6

Name

Class

Cumulative Review

Date

(continued)

Chapters 1-5  11.  What is an equation of the graph at the right? A A.  y  5 25 x  1 4 C  y  5 22 x  1 8 B.  y  5 27 x  1 1 D.  y  5  x  1 4

4 2

 x 

 12. Evaluate each expression. a.  x 2  for  x  5

 y 

5 25

b.

2

2  for  x  5

2 x 

5

2

b. 50% of x  is 150. 300  14.  What are the coordinates of the vertex of the graph of  y  5 u x  1 2 u

2

4

2

225

 13. Find x . a. 20% of 150 is x . 30

O

4 2

4 2

4? (22, 24)

 15. Find the y -intercept of the graph of each equation. a. 7 y  2 3 x  5 4 4 b. 2 x  1 4 y  5 3 3 7

4

 16. Find the slope of each line. a. Te line containing points (3, 26) and (4, 25) 1 b. Te line described by the equation 12 x  1 5 y  5 9

2 12 5

 17. Find the slope of each line. a. Te line that is perpendicular to the graph 2 x  1 3 y  5 6 3 2 b. Te line that is parallel to the graph 22 x  2 6 y  5 8 2 1 3 Find each answer.

 18.  A long-distance company charges $26.95 per month plus $.14 per minute for

all in-state long distance calls. Calculate the cost in dollars to make 225 minutes of in-state long distance calls over one month. $58.45  19. Te ratio of black walnut to red oak trees at a tree farm is 4 : 5. Te tree farm

has 1200 black walnut trees. How many black walnut and red oak trees does the tree farm have altogether? 2700 trees  20.  A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr? 487.5 mi  21.  You invest $175.00 in advertising yourself as a math tutor. You charge $25/hr. How many hours do you have to tutor before you break even? 7 h  22. Line A passes through points (6, 8) and (1, 27). Line B is perpendicular to Line A. Line C is perpendicular to Line B. What is the slope of Line C ? 3  23. Open-Ended Make up a problem that could be solved using a rate of change. Answers may vary. Sample: A water tank contains 60 gallons of water. You use 8 gallons per week to water the garden during a dry spell. How much water remains in the water tank after 4 weeks?  24.  What is the y -intercept of the graph of the equation 17 x  1 2 y  5 42? 21

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Name

Class

Date

Cumulative Review  Chapters 1–6

Multiple Choice For Exercises 1–10 choose the correct letter.

1.  A train moving at a constant speed travels 180 mi in 4 h. How far does the train travel in 7 h? B A. 360 mi B. 315 mi C. 280 mi D. 420 mi 2.  Which is a solution of 28 x  1 5 1 F. 22 G. 3

$

11? I H. 0.25

I.

21

3.  Which two quadrants contain all of the solutions to the following system? A  y  . 4 x  2

2

 y  . 23 x  1

5

A. I and II

B. II and III

C. III and IV

D. I and IV 

4.  Which of the following equations represents a horizontal line through (5, 23)? H F.

 x  5 23

G.

 y  5

5

H.

 y  5 23

I.

5. Te graphs of the two lines 4 x  5 3 y  1 23 and 4 y  1 3 x  5

219

 x  5

5

D

A. do not intersect.

C. intersect at (22, 5).

B. are identical.

D. are perpendicular.

6.  What is the slope of the line with equation 4 x  1 2 y  5 8? F F.

22

G.

20.5

H. 0.5

7.  Which of the following is the solution of 24(5 A. 3.5

B. 2.5

2

C.

2 x )

I. 2 5

8? A

24

D. 1.5

8. o solve the following system of equations by elimination, which operation  would you perform �rst? H

234 x  1 65 y  5 219 1225 x  1 65 y  5 F. addition

2427

G. subtraction

H. multiplication

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I. division

Name

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Cumulative Review

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(continued)

Chapters 1–6 9.  Which of the following points are not solutions of 2 y  2 5 x  . 6? C 5 3 I. (23, 4) II. (5, 23) III. (4 , 5) A. I and II

B. III only

IV. (2.6, 5)

C. II and IV

D. III and IV 

 10. Find the slope of each line. 1 a.  A line that is parallel to the graph of  y  5 2 x  1 7. 12 1 b.  A line that is perpendicular to the graph of  y  5 22 x  2 3. 2

 11. Find the  x -intercept of the graph of each equation. a. 3 x  1 2 y  5 7 7 b. 2 x  1 3 y  5 7

3 7 2

 12. Find the number of solutions to each system. a. 4 x  2  y  1 1

5

4 x  2  y  1 3

5

b. 2 x  2  y  1 4

0 no solution 0

4 x  2 2 y  1

0 infinitely many 8 5 0 solutions 5

 13. Open-Ended  Write a question that can be solved using a system of linear

equations. Answers may vary. Sample: Six daffodil bulbs and 4 iris bulbs cost $24. Five daffodil bulbs and 6 iris bulbs cost $28. How much does each bulb cost?  14. Solve the following system of equations by graphing. (22, 1)  y  5  x  1

3

 y  5 22 x  2

3

 15. Suppose your offi ce gives you $200 to buy binders. Small binders cost $7 each.

Large binders cost $8 each. Write the inequality that describes how many of each kind of binder you can buy. 7 s 1 8l  K 200  16.  Write the set of inequalities that de�nes the trapezoid shown at the right.  y  K 7,  x  L 0,  y  L 3,  y  L  x 

 y  6

 17.  Write an equation of the line with a  y -intercept of 24 that is parallel to 6 x  2 2 y  5 13.  y  5 3 x  2 4

5

 18.  A company’s sales of garden tractors increased about 106%

2

from 2007 to 2008. Te number of tractors sold in 2007 was 347. How many tractors were sold in 2008? about 715

1

4 3

O

 19. Southside Bowling Alley charges $3 for the �rst game and

$.50 for each additional game. Eastside Bowling Alley charges $1 per game. How many games would you have to bowl to make Southside the less expensive choice? 6 games

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 x  1

2

3

4

5

6

7

Name

Class

Date

Cumulative Review  Chapters 1–7

Multiple Choice For Exercises 1–10, choose the correct letter.

1.  Which values of a and b are a solution to the inequality u 5 A. a

6, b

5

2

4, b

B. a

5 2

5 2

3

5

C. a

2.  What is the value of the function y  5 2 x 2 F. 3

1

G. 35

5

3, b

2

2a u

2

1

b

#

4? C 3, b

D. a

5 2

5 2

5

6 x  2 5 when  x  5 4? F H. 5

I.

3

2

1 2

3.  Which equation represents a line with slope 2  that passes through (23, 4)? D

1  x  1 4 2

A.  y  5

B. 4 y  1 3 x  5

2

2

C. 2 y  5  x  1 8

2

4.  Which value of x  is a solution of both 2( x  2 8) F. 3

G.

4

,

5 and 24(2

D. 2 y  1  x  5 5

)

2  x  $

H. 0

2

1? F I. 2

5.  What is the y -intercept of the line with equation 2 x  1 4 y  5 6? B A.

0.5

B. 1.5

2

C. 4

6.  Which product is greatest? F F. (4.2 3 1023)(6.9 3 109) G. (5.1

3

103)(5.1

3

H. (3.7

3

105)(4.8

I. (7.3

3

1010)(2.5

103)

7.  Which expression has the greatest value? D A. |1.5 23| B. |21 12| C.

8. To which subset of the real numbers does

3

1022)

3

1025)

| 8|

22

D. |21 22|

Å 

F. rational numbers

1  belong? F 16 H. natural numbers

G. integers

I. irrational numbers

9.  What is the simpli�ed form of A.  x 2 yz 

D. 6

 x 2 y 23z 3  x 4 y 2z 4

? B

1 B. 2 5  x  y  z 

C.

 x 2 y 5 z 7

D.  x 8 y 6z 12

 10.  A triangle with base 6 cm and height 8 cm is similar to a triangle with base

21 cm. What is the height of the second triangle? H F. 23 cm G. 25 cm H. 28 cm Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

81

I. 30 cm

5

Name

Class

Cumulative Review

Date

(continued)

Chapters 1–7  11. Simplify each expression. a. 2.020 1 b. 2.021 2.02  12.  Write each number in standard form. a. 42 million 42,000,000 b. 4.2 3 106 4,200,000  13. Order the expressions from smallest to largest.

ab 1 8

22

, 721, 72, 80, 921, 91, 92 921, 721, 80, 91, 72,

2

Q18 R

2

, 92

Find each answer.

 14. Simplify (0.25

3

103)(20

3

102). 5 3 105

 15. Suppose  y  varies directly with  x , and  y  5 10 when  x  5 2.5. What direct

 variation equation relates x  and  y ? What is the value of  y  when  x  5 10?  y  5 4 x ; 40  16.  An entry level position pays $8 per hour. A 4% raise is given at the end of each  year of employment. What would the pay be after 3 years? 9 $/h  17.  Which is greater, the amount in a $1000 account that pays 6% interest compounded semiannually for 4 years or the amount in a $1000 account that pays 6.25% annually for 4 years? $1000 at 6.25% annually  18. Open-Ended  Write and solve a problem involving compound interest. Check students’ work.  19. Solve the following system by elimination.

3 y  2 1.6 x  5 8 y  2 2 x  5

215.4

 x  5 4,  y  5 23

232

 20. Te �rst equation in a system of two equations is 2 x  2 3 y  5 9. Te graph of the second equation does not intersect the �rst. Write a possible second equation for the system. Justify your response. Answers may vary. Sample:  y  5 23 x  1 3; both equations have  x  and  y  as variables; the line for the second equation must be parallel to the first, so the slopes must be the same; the  y -intercepts are different.  21.  Write a function rule to describe the amount of money you have left from a  weekly paycheck if you earn $12 per hour, you have $15.50 deducted per week for medical insurance, and you make a weekly car loan payment of $50. f  ( x )

5

12 x  2 65.5 where  x  is hours worked

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82

Name

Class

Date

Cumulative Review 

Chapters 1–8 

Multiple Choice For Exercises 1–11 choos e the correct letter.

1.  What are the next three terms in the sequence 6, 12, 24, 48, c ? A. 72, 96, 120 B. 86, 162, 240 C. 96, 192, 384 2. Solve 8 y  5 F.

2100.

C D. 50, 52, 54

G

2800

G.

212.5

H. 800

I. 12.5

3. Find the equation of the line passing through (2, 21) and parallel to  y  5

23 x  2

23 x  1

A.  y  5

4. Solve

1. A 5

B.  y  5

3 x  1 7 y  5 22 . 4 x  2 3 y  5 22

F. (24, 22)

3 x  2 1 2

C.  y  5

2 x 6 y 

.

 x 

3

1

5

D.  y  5 3 x  1 1

I

G. (24, 2)

10 x 5 y 3

5. Simplify

2

H. (4, 2)

I. (4, 22)

B

A. 5 xy 2

B.

5 y 2

C.

 x 

5 x 

D.

 y 2

 x 

5 y 2

6. Simplify (3 x  2 1)( x  1 4). H F. 3 x 2

2

G. 3 x 2

4

2

H. 3 x 2

11 x  2 4

1

I. 3 x 2

11 x  2 4

1

13 x  2 4

7.  A scuba diver at a depth of 80 ft begins her ascent to the ocean surface. Her

rate of change in depth is 2ft/s. Which expression represents her depth in feet t  seconds after she begins her ascent? B A. 2t  2 80 B. 80 2 2t  C. 280 2 2t  D. 80 1 2t  8. Factor 4 x 2 2  x  2 14. F F. (4 x  1 7)( x  2 2) G. (2 x  2 7)(2 x  1 2) 9.  What is the GCF of the terms of 3 x 3

1

6 x 2

H. (4 x  2 7)( x  1 2) 2

B. 3

A.  x 

9 x ? C D. 3 x 2

C. 3 x 

 10.  Which number is not  a solution of the compound inequality 7 2 x  2

5

. 210?

I. (2 x  1 7)(2 x  2 2)

2

4 x  # 3 and

F

F. 5

G. 4

H. 2

I. 1

 11.  Which of the following is a cubic binomial? D A. w 3

2

6w 2

1

9

B. 7a3

1

4a22

C.

3

2 y  1

3 y 5

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D.  x 2

2

2 x 3

Name

Class

Cumulative Review

Date

Chapters 1–8 

(continued)

 12.  A city is growing at a rate of 8 percent per year. What multiplier is used to �nd the new population each year? 1.08  13. Simplify 62

4

4

1

2(7

2

3)

?

4. 41

 14.  What is the slope of a line that passes through the origin and the point (6, 3)? 1 2

 15. Evaluate  x 2

1

3 y  for  x  5 4  and  y  5 0.5. 17.5

 16.  A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k  for

the spring.

 17. Solve

18  x 

5

1 2

21 . 12 14

 18.  What is the x -intercept of the line with equation 5 x  1 4 y  5 30? 6  19. How many positive solutions are there to the equation Z 2 x  2 5 Z

5

4? 2

20.  Write an equation in standard form passing through the points (22, 0)  and (23, 21).  y  2  x  5 2  21. Te product of two negative integers is 36. Te second integer is 5 more than the �rst. Find the integers. 29, 24  22. Te length of a rectangular pizza is 4 in. less than twice its width. Te area of

the pizza is 160 in. 2 . Find the dimensions of the pizza. 10 in. by 16 in.  23.  Write a polynomial that is a difference of two squares using the variable m.

 Write the polynomial in factored and standard forms. Sample :4m2 2 9; (2m

1

3)(2m 2 3)

4

 24. Solve the following system of inequalities by graphing:

 y 

2

2 x  2 4 y  # 4 23 x  2

 x 

4 2

6 y  . 6

graph of  y  L 12 x  2 1 and  y  R

2

1 2 x  2

O

2

1

4 Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

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2

4