Free Printable Direct Variation

Worksheets

Direct Variation

Total questions: 28

Worksheet time: 7hrs 0mins

Name

Class

Date

Does this represent a direct variation equation?

y=2x

yes

Write an equation for this relationship. Does this represent direct variation?

$y=2x+2,\ no$

$y=8x\ +2,\ no$

y=\frac{1}{4}x,\ yes

$y=8x,\ yes$

Which of the given graphs is a direct variation?

Write an equation for this situation where y is the cost and x is the number of days.

y=9.75x

y=19x

y=19.25x

y=9.5x

Does this represent a direct variation equation?

yes

Write the equation for the table given.

Yes, the equation can be written as y=kx: $y=\frac{1}{3}x$

Yes, the equation can be written as y=kx: $y=3x$

Yes, the equation can be written as y=kx: $y=\frac{1}{2}x$

No, the graph doesn't have a constant of variation.

No, the graph doesn't pass through the origin

In this graph showing a direct variation relationship, at what constant rate did the rain fall?

2 cm per hour

¹/₄ cm per hour

¹/₂ cm per hour

4 cm per hour

What does the Direct Variation Equation look like?

y= kx

y = mx + b

y = b

y = x

What is the constant of variation represented in the table?

10.

Does this represent a direct variation equation?

y = 7x + 3

yes

11.

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

(0, 0)

(1, 0)

(0, 1)

(1, 1)

12.

Is this a direct variation?

yes

13.

Which graph shows a direct variation between x and y?

14.

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

k = 13

k = 65

k = 5

k = 1/13

15.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

yes, the constant of variation is 1/2 and the equation could be written in the form y=kx

yes, the constant of variation is 2 and the equation could be written in the form y=kx

no, the equation would not be in the form y=kx

16.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

no, the equation could not be written as y=kx

yes, the equation could be written as y=kx where k=100

yes, the equation could be written as y=kx where k=50

yes, the equation could be written as y=kx where $k=\frac{50}{3}$

17.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

yes, the constant of variation is 8 and the equation could be written in the form y=kx

no, there equation could not be written in the form y=kx

yes, the constant of variation is 1/8 and the equation could be written in the form y=kx

no, it doesn't go through the origin

18.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

yes, the constant of variation is 2 and the equation could be written in the form y=kx

yes, the constant of variation is 1/2 and the equation could be written in the form y=kx

no, there is no constant of variation

19.

Determine if the relationship between the two quantities is a direct variation.

This is a direct variation since the graph passes through the origin and the ratio of the number of miles to the number of hours is constant.

This is not a direct variation since the graph does not pass through the origin and the ratio of the number of miles to the number of hours is not constant.

This s a direct variation since the graph is a straight line and the ratio of the number of miles to the number of hours is constant

This is not a direct variation since the graph is not a straight line and the ratio of the number of miles to the number of hours is not constant.

20.

Is this a graph representing direct variation?

Direct variation

Not direct variation

21.

Which equation represents a direct variation situation?

y = 3x - 1

y = 5x

y = 2x + 1

y\ =\ \frac{3}{x}

22.

The table below shows the relationship between the number of hours Stacy works and her earnings. What is k, the constant of variation?

144

560

23.

The constant of variation is the same as the slope of the line.

True

Falsa

24.

In a direct variation graph, the y-intercept will always be zero.

True

Falsa

25.

Is this a direct variation?

y = -9x - 1

yes

26.

Is this line direct variation?

y = -8x

Yes

Impossible to tell

27.

Is this line direct variation?
y = 3x + 2

Yes

Impossible to tell

28.

Does this graph represent a direct variation?

No, because it doesn't pass through the origin.

Yes, because it doesn't pass through the origin.

Yes, because it intersects the y axis.

No, because it intersects the x axis.

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Direct Variation

Total questions: 28

Worksheet time: 7hrs 0mins

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