Holt Algebra 1_chapter 01-06 Cumulative Test 5i455d

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Date ————————————

Cumulative Test

CHAPTERS

1–6

For use after Chapters 126

Evaluate the expression.

Answers

1. 7 1 6 4 3

2

2. 4 p 5 2 18

1.

2 3. } [(5 1 3)2 2 31] 3

4. 9x2 2 4; x 5 3

2.

2

5. Tell whether the following statement is always, sometimes, or never

true. For a given whole number n, the product 4n is divisible by 8.

3. 4.

Write an algebraic expression, an equation, or an inequality. 6. The sum of 5 times a number x and 17 7. The difference of 21 and the product of 5 and a number y is less than 7.

6. 7.

8. The quotient of 75 and the quantity of a number z and 2 is 25.

8.

9. A family goes to an amusement park. Adult tickets cost $21.

Children under 10 years of age pay $15. Write an algebraic expression for the total cost. Then find the total cost of 4 adult tickets and 3 children’s tickets. }

5.

}

9. 10.

10. Order the numbers from least to greatest: 21.6, Ï 4 , 0, 3.1, 2Ï 5 .

11.

11. Let U be the set of whole numbers from 0 to 10. Find A > B for

12.

A 5 {2, 4, 6, 8} and B 5 {3, 4, 5, 6}.

13. 12. 211 1 (27)

13. 27 1 (232)

14. 17 2 (26)

2 1 15. 2} 2 } 3 12

16. 15(26)

17. 3(27)( 22)

18. 221 4 (27)

2 19. 214 4 } 7

3 20. } 4 (230) 5

14. 15. 16. 17. 18.

Evaluate the expression. 21. 25x 1 14 2 2x2 when x 5 3

18 22. 11 1 } when y 5 3 y

19.

23. 7(3w 2 5) when w 5 4

24. 15 11 2 k when k 5 8

20.

Simplify the expression. 25. 23(2x 1 6)

21. 22.

26. 7(3y 2 4) 2 18y

23.

28w 1 12 27. } 24

24. 25. 26. 27.

124

Algebra 1 Chapter 6 Assessment Book

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Find the sum, difference, product, or quotient.

Name ——————————————————————— CHAPTERS

1–6

Cumulative Test

For use after Chapters 126

Date ————————————

continued

28. The average price of bananas at a grocery store was recorded for

Answers

six weeks. The changes in price per pound are listed below. Find the mean of the price change. $.05, 2$.11, $.06, $.02, $.15, 2$.05

28. 29.

Solve the equation.

30.

m 29. } 5 8 26

30. 17 5 4x 2 7

31. 16w 2 10w 1 13 5 25

32. } (25z 2 30) 5 } (12z 1 16)

31.

3 4

2 5

32.

The perimeter P of a rectangle is given by the formula P 5 2l 1 2w where l is the length and w is the width.

33.

33. Solve the formula for l.

34.

34. Use the rewritten formula to find the length of a rectangle with a

35.

width of 9 inches and a perimeter of 40 inches.

36.

Solve the proportion. x 12 35. } 5 } 8 32

36 12 36. } 5 } 3w 63

37.

3k 2 2 21 37. } 5 } 5 15

38.

38. The price for a monthly train increased from $72.50 to $78.30.

39.

Find the percent of change.

40.

Copyright © Holt McDougal. All rights reserved.

Write the equation in function form. 39. 212x 1 3y 5 15

41.

40. 5x 5 210y 1 30

42.

Find the slope of the line that es through the points. 41. (27, 3) and (3, 8)

42. (22, 29) and ( 25, 6)

43.

See left.

Graph the function. Then perform the indicated transformation and graph the image. y

43. Function: y 5 x 2 3, with domain 22, 1, 2

Transformation: (x, y) → (x, y 1 2)

1 �3

�1 �1

1

3

x

�3 �5

Algebra 1 Chapter 6 Assessment Book

125

Name ———————————————————————

Cumulative Test

CHAPTERS

1–6

For use after Chapters 126

Date ————————————

continued

Answers

y

44. Function: y 5 0.5x 1 1, with domain 24, 0, 2

Transformation: (x, y) → (x, 2y)

�3

5

44.

3

45.

1

46.

�1 �1

1

3

x

47. 48.

45. The price p (in dollars) varies directly with the number of issions

to a museum. The museum charges $12 for 5 student issions. Write a direct variation equation that relates p and a. Then find the total ission price for 30 students. Write an equation in slope-intercept form of the line with the given characteristics. 46. slope 3; y-intercept 5

47. m 5 22; es through (21, 5)

48. es through (3, 2)

49. perpendicular to y 5 23x 1 1;

and (25, 28)

49. 50. 51. 52.

See left.

es through (2, 2)

50. Write an equation in standard form of the line shown. 3

y

�1 �1

1

Copyright © Holt McDougal. All rights reserved.

1 5 x

3

51. Find a100 for the arithmetic sequence 7, 11, 15, 19, 23, ... . 52. Make a scatter plot of the data in the y

table below. Draw a line of fit. And then write an equation of the line.

30

x

0

3

6

9

12

18

y

22

8

14

24

36

6 �3

126

Algebra 1 Chapter 6 Assessment Book

3

9

15 x

Name ——————————————————————— CHAPTERS

1–6

Cumulative Test

For use after Chapters 126

Date ————————————

continued

Solve the inequality, if possible. Graph your solution.

Answers

x 53. } , 23 27

53.

See left.

54.

See left.

55.

See left.

56.

See left.

0

7

54. 25 , 3x 1 1 , 4

14 21 28 35 42

55. 22x . 9 or 4x 1 7 . 9 25 24 23 22 21

0

0

23 22 21

56.

1

1

2

3

x 1 1 2 3 . 8 0

212 28 24

4

8

12

Solve the equation, if possible. 57. 3x 2 2 1 2 5 17

58. 74x 1 2 1 6 5 4

59. Solve 4x 2 1 . 7 graphically.

y 6 2 26

22 22

2

6 x

57. 58.

26

59.

of engers p and gear g in a canoe can be no more than 500 pounds. Write and graph an inequality that describes the possible weights of the people and the gear. Identify and interpret one of the solutions.

Weight of gear (pounds)

Copyright © Holt McDougal. All rights reserved.

60. The sum of the weight w (in pounds)

g 500

400 300 200

See left.

60.

See left.

100 0

0 100 300 500 p Weight of engers (pounds)

Algebra 1 Chapter 6 Assessment Book

127

Chapter 6, continued 34.3 1 x 18. a. } ≥ 9; x ≥ 10.7 b. no; To win, the 5

y 30 25 20 15 10

score must be 10.7 or greater, but these scores are impossible to receive.

5 0

0 10 20 30 40 50 60 x Length (inches)

27. Sample answer: (15, 10); The box could have a length of 15 inches and a width of 10 inches.

Standardized Test A

5 19. a. 20 ≤ } (F 2 32) ≤ 25; 68 ≤ F ≤ 77 9 c b. 68 ≤ } 1 37 ≤ 77; 124 ≤ c ≤ 160 4 c.























SAT/ACT Chapter Test

1. A 2. A 3. C 4. D 5. A 6. C 7. B 8. B

1. D 2. A 3. C 4. E 5. A 6. B 7. D 8. C

9. D 10. B 11. A 12. B 13. C 14. D

9. B 10. C 11. B 12. B 13. A 14. D

17. a. 3.50 1 0.45t ≤ 7.50, where t is the number of lines of text b. 3 ≤ 8.8; 8 lines of text at most; I rounded down because I can not afford 9 lines of text. 18. a. 105 ≤ a ≤ 145 b. 180 ≤ t ≤ 200 c. 500 ≤ p ≤ 700; The student must sell at least $800 worth of covers, but she cannot sell more than $1000 worth of covers because she has only 200 calculators to sell. Subtract $300 from each amount to find the profit.

Standardized Test B 1. D 2. B 3. A 4. B 5. D 6. C 7. B 8. D 9. A 10. C 11. A 12. B 13. A 14. C 15. D 16. 8.5 min

98 1 85 1 72 1 78 1 x 17. a. }} $ 85; x $ 92 5 b. No, it is not possible to earn an average of 92.

A score of 100 on the last test would still only give you an average of 86.6. 18. a. a $ 285 b. t $ 800 c. c # $500 or $0 # c # $500; Selling 750 tickets would raise $1500 for the club. Anything over that amount is used to purchase calculators. After selling 750 tickets, there are 250 tickets remaining, which would total $500. So, the maximum amount that can be used towards calculators is $500 and the minimum amount is $0. Standardized Test C 1. D 2. B 3. A 4. A 5. D 6. C 7. B 8. A 9. B 10. D 11. C 12. B 13. A 14. D 15. B 16. C 17. 10.5

15. $850 16. 212 17. 83 cm

Performance Assessment 1. Complete answers should include: a discussion of the equivalent compound inequality ax 1 b > 9 or ax 1 b < 29; a discussion of how to solve each part of this compound inequality; a rough sketch of a solution consisting of two rays having open circles that point in opposite directions. 12 2. a. 125 1 8.5p ≤ 250; p ≤ 14} 17 b.

0 2 6 4 8 10 12 14 16

; 14 door prizes

c. $1256 d. 11x 1 9y 1 56 ≤ 1256 e. y Number of chicken entrées

15. B 16. 280

140 120 90 60 30 0

0 30 60 90 120 x Number of beef entrées

f. Sample answer: 100 beef and 10 chicken; 50 beef and 70 chicken; 25 beef and 100 chicken g. For sample answer in part (f ): $10, $20, and $25, respectively.

Chapters 1–6 Cumulative Test 1. 19 2. 82 3. 22 4. 77 5. sometimes 75 6. 5x 1 17 7. 21 2 5y < 7 8. } 5 25 z12 }

}

9. 21a 1 15c; $129 10. 2Ï 5 , 21.6, 0, Ï 4 , 3.1 9 11. {4, 6} 12.218 13. 25 14. 23 15. 2} 12

1 16. 280 17. 42 18. 3 19. 249 20. 2} 50 21. 219 22. 17 23. 49 24. 23 25. 3x 2 18

A16

Algebra 1 Assessment Book

Copyright © Holt McDougal. All rights reserved.

Width (inches)

ANSWERS

26. x 1 2( y 1 24) # 108;

Chapters 1–6, continued 60. p 1 g ≤ 500;

Weight of gear (pounds)

26. 3y 2 28 27. 2w 2 3 28. $.02 29. 48

P 2 2w 30. 6 31. 23 32. 24 33. l 5 } 2 34. 11 in. 35. 3 36. 7 37. 3

Answers will vary.

44. Y







Chapter 7

Y

Quiz 1 1. (22, 23)



X











X



2. (2, 22) y

3



y

1 23

1 x

3

1

21 21

45. p 5 2.4a; $72

23

3

1

21 21

23

46. y 5 3x 1 5 47. y 5 22x 1 3

x

23 25

5 7 1 4 48. y 5 } x 2 } 49. y 5 } x 2 } 4 4 3 3

3. (1, 5)

50. 23x 1 2y 5 25 51. 403 52.

100 0

ANSWERS

1 1 40. y 5 2} x 1 3 41. } 42. 25 2 2



400 300 200 0 100 300 500 p Weight of engers (pounds)

38. 8% increase 39. y 5 4x 1 5

43.

g 500

y 5

y

3

30 1

18

21

x 1

3

5

6 3

�3

9

4. (1, 4) 5. (2, 6) 6. (3, 8) 7. (1, 24)

15 x

Copyright © Holt McDougal. All rights reserved.

8. (5, 21)

y 5 3x 2 2 53. x > 21 0

7

Quiz 2 54. 22 < x < 1

14 21 28 35 42

55. x < 24.5 or x > 4

23 22 21

0

1

2

0

25 24 23 22 21

3

56. x > 10 or x ≤ 212

0.5

24.5

1. (1, 21) 2. (2, 2) 3. (2, 4) 4. (21, 2)

10

1

212 28 24

0

4

8

5. (1, 22) 6. (2, 23) 7. (1, 4) 8. (3, 1)

Quiz 3 1.

3

12

2.

y

3

1

57. 3, 27 58. no solution

23

y

1 1

21

3 x

59. x > 2

23

21 21

1

3 x

23

Y Y X

one solution



3.





no solution infinitely many solutions

y

X 1 23

21 21

3 x

23

Algebra 1 Assessment Book

A17