Chapter 4 Test Review

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. A new park opened on Monday with 45 visitors. The manager estimates that the number of visitors doubled

every day from the previous day during its opening week. About how many visitors did the park receive on

Friday?

A. 180 C. 720

B. 225 D. 1440

____ 2. A gumball machine dispenses 2 gumballs for every quarter inserted. Which equation can be used to find the

number of quarters y in the gumball machine after x gumballs have been dispensed?

F.

H.

G. J.

____ 3. Ama deposited her babysitting money into her savings account, which already had a balance of $210. Her

new balance is $295. Which equation can be solved to find how much she deposited?

A. C.

B. D.

____ 4. Trey’s mechanic will fix Trey’s car at a rate of $20 per hour, plus $400 for the cost of a part. Trey’s neighbor

already has the needed part and will fix the car for only $70 per hour. For how many hours will the cost of

having the car fixed by either person be the same?

F. 4 H. 6

G. 5 J. 8

____ 5. Solve the inequality .

A. C. B. D.

____ 6. Solve the inequality .

F. H. G. J.

____ 7. Solve the compound inequality OR .

A. OR

B. AND

C. OR

D. AND

____ 8. Solve the compound inequality .

F. AND

G. AND

H. OR

J. OR

____ 9. Which represents the solutions of ?

A. OR

B. OR

C. AND

D. AND

____ 10. Which represents the solutions of ?

F. OR

G. OR

H. AND

J. AND

____ 11. Which situation could be represented by the graph below?

A. Deb sold the same number of vases every year.

B. Deb sold vases for two years and then began purchasing new vases.

C. Deb sold vases for two years, neither sold nor bought the next year, and then sold vases for

two more years.

D. Deb bought vases for two years, sold vases the next year, and then bought vases the last

two years.

____ 12. What is the value of when ?

F. H. 1

G. J. 2

____ 13. Which function has on its graph?

A. C.

B. D.

____ 14. Which scatter plot is the best example of a positive correlation?

F.

G.

H.

J.

____ 15. Which relation is NOT a function?

A.

B.

C.

D.

____ 16. Which equation best describes the relationship between x and y?

F. H.

G. J.

____ 17. Which function is NOT linear?

A. C.

B. D.

____ 18. What is the y-intercept of ?

F. H. 6

G. J. 8

____ 19. What is the slope of the line graphed below?

A. C.

B.

D. 4

____ 20. Which shows written in slope-intercept form?

F. H.

G. J.

____ 21. The value of y varies directly with x, and when . Find y when .

A. C.

B. D.

____ 22. A line has a slope of 3 and contains the point . Which is the equation of the line?

F. H.

G. J.

____ 23. Which equation best fits the data?

x 2 3 4 6

y 2 1 6 6

A.

C.

B.

D.

____ 24. The table shows the number of minutes per day that members of a cross-country team spent practicing over

the summer and the members’ mile times the following semester.

Daily practice (min) 0 30 20 0 15

Mile time (min) 8.5 5.5 6.5 6.5 7

Which equation represents a line of best fit for these data?

F. H.

G. J.

____ 25. Which of the following equations describes a line parallel to the line graphed below?

A. C.

B. D.

____ 26. Which of the following equations describes a line passing through that is perpendicular to the line

described by ?

F.

H.

G.

J.

____ 27. The graph of is shown below. It was created by translating the graph of 4 units up.

Which of the following is ?

A. C.

B. D.

____ 28. Which is the graph of a linear function?

F.

H.

G. J.

____ 29. Which of the functions below is a linear function?

A. C.

B. D.

____ 30. What are the x- and y-intercepts of the function graphed below?

F. x-intercept: 4; y-intercept:

G. x-intercept: ; y-intercept: 4

H. x-intercept: ; y-intercept: 2

J. x-intercept: 2; y-intercept:

____ 31. What is the x-intercept of ?

A.

C.

B.

D.

____ 32. Which describes the slope of a vertical line?

F. positive H. 0

G. negative J. undefined

____ 33. What is the slope of the line below?

A.

C.

B.

D.

____ 34. What is the slope of the line containing the points and ?

F. H.

G.

J. 2

____ 35. Does the equation represent a direct variation? If so, what is the constant of variation?

A. yes;

B. yes;

C. yes; 2

D. no

____ 36. The equation represents a direct variation. What is the constant of variation?

F.

H.

G.

J.

____ 37. The value of y varies directly with x, and when . Find y when

A. C. B. D.

____ 38. Which equation describes the function whose y-intercept is 2 and whose graph has slope ?

F. H.

G. J.

____ 39. Which equation describes the line that contains and has a slope of 2?

A. C.

B. D.

____ 40. Find the slope and y-intercept: .

F. ; H. ;

G. ; J. ;

____ 41. Which equation describes the line that passes through and ?

A.

C.

B. D.

____ 42. Which equation describes the line passing through with a slope of ?

F.

H.

G.

J.

____ 43. The table shows the masses of several female mammals and the number of days each mammal carried a baby

before giving birth.

Mass (kg) 730 600 15 35 1

Days before

giving birth

284 270 150 148 33

Which equation represents a line of best fit for these data?

A.

B.

C.

D.

____ 44. Which equation describes the line that passes through and is parallel to the line described by

?

F. H.

G.

J.

____ 45. Which equation describes a line perpendicular to the line described by ?

A.

C.

B. D.

____ 46. The graph of is shown below. It was created by translating the graph of down 2 units.

Which of the following is ?

F.

H.

G. J.

____ 47. Which describes the effect on the graph of if the slope changes to 2?

A. The graph shifts down 2 units.

B. The graph shifts up 2 units.

C. The graph becomes steeper.

D. The graph becomes less steep.

____ 48. The graph of is reflected across the y-axis. Which function describes the new graph?

F. H.

G. J.

____ 49. Which graph represents a linear function?

A.

B.

____ 50. A car travels at 60 mi/h. The function gives the distance the car travels in x hours. What is the

range of this function?

F.

G.

H.

J. all real numbers

____ 51. Find the x-intercept of .

A. 4

B. 5

C. 20

D. 25

____ 52. The table shows the price of a video game for different numbers of years after the game’s release. During

which time interval did the price decrease at the greatest rate?

Number

of years

0 2 3 5 7

Price ($) 58 54 50 44 43

F. 2000 to 2002 H. 2003 to 2005

G. 2002 to 2003 J. 2005 to 2007

____ 53. The slope of this line is _______.

A. positive C. zero

B. negative D. undefined

____ 54. Find the slope of the line that contains the points and .

F.

G.

____ 55. Is this relationship a direct variation?

x 2 1

y 6 4

A. yes B. no

____ 56. Which equation describes the function whose y-intercept is 6 and whose graph has slope 2?

F. G.

____ 57. What are the slope and y-intercept?

A. slope 3; y-intercept

B. slope ; y-intercept 3

C. slope ; y-intercept

D. slope ; y-intercept 3

____ 58. Which equation describes the line with slope that contains the point ?

F.

G.

____ 59. The table shows the sizes of an artist’s paintings and the price of each painting.

Painting Size (in.2) 48 64 144 48 100

Price (dollars) 100 150 300 85 200

Which equation represents a line of best fit for these data?

A.

B.

____ 60. Which equation describes a line parallel to the line described by ?

F. H.

G.

J.

____ 61. Which equation describes a line that passes through and is perpendicular to the line described by

?

A. C.

B.

D.

____ 62. Which describes the transformation from the graph of to the graph of ?

F. a translation down 5 units

G. a translation up 5 units

Short Answer

63. Does this graph represent a linear function? Explain.

64. A jogger runs 4 mi/h. The function gives the distance the jogger travels in x hours. Graph this

function.

Give its domain and range.

65. Find the x- and y-intercepts of .

66. This table shows the number of people at a festival at certain times during the day. During which time interval

did the number of people increase at the greatest rate? What was the rate of change for that interval?

Hour (PM) 1 2 4 7 8

Number of People 12 20 34 40 45

67. Tell whether the slope of this line is positive, negative, zero, or undefined.

68. Find the slope of the line that contains the points and .

69. Tell whether this relationship is a direct variation. Explain.

x 6

y 3 6

70. Write an equation in slope-intercept form for the function whose y-intercept is 1 and whose graph has slope 4.

71. Graph the function whose y-intercept is 4 and whose graph has slope .

72. An artisan crocheted blankets to sell at a craft fair. For each blanket, the table shows the number of hours the

artisan spent making the blanket and the blanket’s price.

Find an equation for a line of best fit.

73. Write an equation in point-slope form that describes the line with a slope of that contains the point .

74. Which equations describe parallel lines?

I II

III IV

75. Write an equation in slope-intercept form for the line that passes through and is perpendicular to the

line described by .

76. Graph and . Then describe the transformation from the graph of to the graph of

.

Chapter 4 Test Review

Answer Section

MULTIPLE CHOICE

1. C

2. F

3. C

4. J

5. D

6. F

7. C

8. G

9. B

10. H

11. C

12. H

13. B

14. J

15. B

16. F

17. C

18. F

19. C

20. J

21. A

22. G

23. B

24. F

25. D

26. F

27. B

28. G

29. A

30. G

31. D

32. J

33. A

34. H

35. D

36. G

37. D

38. F

39. C

40. G

41. B

42. G

43. A

44. F

45. C

46. G

47. D

48. F

49. B

50. F

51. C

52. G

53. B

54. F

55. B

56. F

57. A

58. G

59. A

60. H

61. C

62. F

SHORT ANSWER

63. Yes; each domain value is paired with exactly one range value and the graph forms a line.

64.

domain: ; range:

65. x-intercept: 2; y-intercept:

66. 1 PM to 2 PM; 8 people per hour

67. positive

68. 2

69. Yes; is the same for each ordered pair.

70.

71.

72.

73.

74. III and IV

75.

76.

A reflection across the x- or y-axis.