Free Printable Direct Variation Test

1.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

2.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

3.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

4.

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

a)

34.04

b)

90.00

c)

1,285.35

d)

44,444.44

5.

The amount of money earned on a job is directly proportional to the number of hours worked. if $36 is earned for 8 hours of work, how much is earned for 30 hours of work?

a)

135

b)

6.667

c)

1080

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

15.

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

a)

$1.00 per pound

b)

$3.60 per pound

c)

$1.20 per pound

d)

$1.10 per pound

16.

Is this proportional?
y=2x

a)

yes

b)

no

17.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

18.

What ordered pair does a direct variation always go through when graphed?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, 1)

19.

Is this a direct variation?

a)

yes

b)

no

20.

What is another name for k?

a)

y- intercept

b)

x

c)

slope

d)

x- intercept

21.

Which graph shows a proportional relationship between x and y?

a)

A

b)

B

c)

C

d)

D

22.

Write an equation for this relationship.

a)

y = 4x

b)

y = 1/8x

c)

y = 1/4x

d)

y = 8x

23.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

24.

What is the constant of proportionality?

a)

8

b)

16

c)

24

d)

2

25.

Is this proportional?
y = 7x + 3

a)

yes

b)

no

26.

A tutoring job pays $222 for ten hours of work. If a tutor were to work for a total of thirty-five hours that week, how much will they make?

a)

$1.58

b)

$777

c)

$2

d)

$685

27.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

28.

Write an equation for this relationship.

a)

y=4x

b)

y=1/8x

c)

y=1/4x

d)

y=8x

29.

Does the relationship represent direct variation?

a)

Yes

b)

No

30.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

31.

Direct variation is X over Y.

a)

True

b)

False, because its Y over X.

32.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

33.

Is this proportional?

a)

yes

b)

no

34.

Is this table proportional?

a)

Yes

b)

No

35.

Is the graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

36.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

37.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

38.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

39.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

40.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

41.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

42.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

43.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

44.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

45.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

46.

What is the slope?

a)

Positive

b)

Negative
Negative

c)

Zero

d)

Undefined

47.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

48.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

49.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

50.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

51.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

52.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

53.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

54.

A line that has a slope of m = 0 is

a)

Horizontal

b)

Vertical

c)

really steep

d)

not so steep

55.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

56.

The y intercept is AWESOME! It helps us to know...

a)

Where our line will end.

b)

If our line is positive or negative.

c)

Where to start graphing our line.

57.

When graphing, what do you do after you graph your y-intercept?

a)

Find slope and start with your run(left or right) then to rise (up or down)

b)

Find slope and start with your rise (up or down) then to run (left or right)

c)

Draw a vertical line

d)

Draw a horizontal line

58.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

59.

Which graph best represents the equation y = -3x + 4?

a)

b)

c)

d)

60.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

61.

Which graph represents y = 3x?

a)

b)

c)

62.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

63.

Which is the graph of the equation ?

y=\frac{1}{3}x\ -\ 2

a)

b)

c)

d)

64.

Which is the graph of the equation ?

y\ =\ -2x\ +\ 1

a)

b)

c)

d)

65.

Which is the graph of the equation ?

y\ =\ -x\ +\ 2

a)

A

b)

B

c)

C

d)

D

66.

What does the b represent in y=mx+b ?

a)

slope

b)

y-intercept

67.

What does the 4 represent in y=4x+3 ?

a)

slope

b)

y-intercept

68.

What does the 3 represent in y=4x+3 ?

a)

slope

b)

y-intercept

69.

What does 10 represent in y=6x+10 ?

a)

slope

b)

y-intercept

70.

What does 6 represent in y=6x+10 ?

a)

slope

b)

y-intercept

71.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

72.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

73.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

74.

Find the slope:
(-4, 3) and (-4, -7)

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

75.

Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

76.

Convert the standard form equation into slope-intercept form.
6x - y = 1

a)

y = -x + ⅙

b)

y = 6x - 1

c)

x = ⅙

d)

y = 27, 239, 430

77.

Convert the standard form equation into slope-intercept form.
5x - 4y = -20

a)

y = (5/4)x + 5

b)

y = -5x - 4

c)

x = 20

d)

y = 27, 239, 430

78.

Solve this equation for y:
$-6x+3y=9$

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

79.

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

a)

subtract 2x from each side

b)

subtract 4y from each side

c)

add 2x to each side

d)

add 4y to each side

80.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

81.

Does the following represents direct variation?

a)

Yes

b)

No

82.

Does the following represents direct variation?

a)

Yes

b)

No

83.

Does the following represents direct variation?

a)

Yes

b)

No

84.

Does the following represents direct variation?

a)

Yes

b)

No

85.

Select all the equations that represent a direct variation:

a)

b)

c)

d)

86.

Does the following table represent direct variation?

a)

Yes

b)

No

87.

Does the following table represent direct variation?

a)

Yes

b)

No

88.

Does the following table represent direct variation?

a)

Yes

b)

No

89.

Does the following table represent direct variation?

a)

Yes

b)

No

90.

The value of y is directly proportional to the value of x.

If y = 132 when x = 11, what is the value of y when x = 17?

a)

y = 144

b)

y = 12

c)

y = 204

d)

y = 71

91.

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

a)

y = 1.44

b)

y = 117

c)

y = 12

d)

y = 135

92.

The number of pages that Hayden can read varies directly with the time spent reading.

If he reads 12 pages in 4 minutes, how many pages can he read in 17 minutes?

a)

51 pages

b)

47 pages

c)

60 pages

d)

75 pages

93.

The number of miles Jim runs is directly proportional to the time spent running.

If he runs 6 miles in 46.8 minutes, how long will it take him to run 13.1 miles?

a)

92.35 minutes

b)

7.8 minutes

c)

102.18 minutes

d)

150.67 minutes

94.

The mass of a substance varies directly with the volume of the substance. The volume of 100 kilograms of the substance is 80 liters.

What is the volume, in liters, of 3.2 kilograms of this substance?

a)

2.12 cubic liters

b)

4 cubic liters

c)

6.34 cubic liters

d)

2.56 cubic liters

95.

Write an equation for this relationship.

a)

y = 4x

b)

y = 1/8x

c)

y = 1/4x

d)

y = 8x

96.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

97.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?

a)

y = 10x

b)

y = 2x

c)

y = 5x

d)

y = 1/5x

98.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

99.

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

a)

$1.00 per pound

b)

$3.60 per pound

c)

$1.20 per pound

d)

$1.10 per pound

100.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

101.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

102.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

103.

Is this a direct variation?
y=2x

a)

yes

b)

no

104.

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

a)

$1.00 per pound

b)

$3.60 per pound

c)

$1.20 per pound

d)

$1.10 per pound

105.

y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

a)

y=32x

b)

y=16x

c)

y=2x

d)

y=(1/2)x

106.

y varies directly with x. If y = 20 when x = 4, what is y when x = -2 ?

a)

-10

b)

10

c)

-5

d)

5

107.

y varies directly with x. If y = 12 when x = 2, what is the constant of variation?

a)

k = 12

b)

k = 4

c)

k = 6

d)

k = 2

108.

y varies directly with x. If y = -4 when x = -1, what is the constant of variation?

a)

k = 12

b)

k = 4

c)

k = 6

d)

k = 2

109.

Find the unit rate: $6.20 for 5 pounds of lemons. How much does it cost for 3 pounds of lemons?

a)

$3.72

b)

$1.24

c)

$1.84

d)

$3.00

110.

The amount of money earned on a job is directly proportional to the number of hours worked. If $240 is earned in 16 hours, how much money is earned in a 40-hour work week?

a)

$480

b)

$600

c)

$15

d)

$265

111.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

112.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

113.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

114.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

115.

What ordered pair does a direct variation always go through when graphed?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, 1)

116.

What is another name for k?

a)

y- intercept

b)

x

c)

slope

d)

x- intercept

117.

Is this a direct variation?

a)

yes

b)

no

118.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?

a)

y = 10x

b)

y = 2x

c)

y = 5x

d)

y = 1/5x

119.

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

a)

k = 13

b)

k = 65

c)

k = 5

d)

k = 1/13

120.

What is the slope of the line that passes through the points (-2, 5) and (1,4)

(a)

Choose from the below words

-3

-1

-1/3

1/3

Direct Variation Test

Total questions: 120

Worksheet time: 4hrs 14mins

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