Free Printable Direct Variation (Basic Concepts)

1.

Which equation is NOT an example of a direct variation?

a)

$y=-\frac{7}{3}x+1$

b)

$y=\frac{15}{16}x$

c)

$y=4x$

d)

$y=-9x$

2.

Which of the following equation is a direct variation?

a)

$y=2x+1$

b)

$y=-3x+7$

c)

$y=\frac{2}{3}x$

d)

$y=7x+2$

3.

Does the given graph represent a direct variation?

a)

yes

b)

no

c)

cannot be determined

4.

Does the given graph represent a direct variation?

a)

yes

b)

no

c)

cannot be determined

5.

The statement "y varies directly as x" means _______________.

a)

$y=\frac{k}{x}$

b)

$y=\frac{x}{k}$

c)

$y=kx$

d)

$x=ky$

6.

In the direct variation y = kx, k is called the ________________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

constant of variation

7.

Which of the following equations will you use to find the constant of variation (k) in a direct variation?

a)

$k=\frac{y}{x}$

b)

$k=\frac{x}{y}$

c)

$k=xy$

d)

$k=\frac{1}{xy}$

8.

Given the table of values, identify if it shows direct variation and if it is yes, what is the value of the constant of variation k?

a)

No, it is not direct variation

b)

Yes. The value of k = 2

c)

Yes. The value of k = 1

9.

The table of values given shows a direct variation. Identify the value of the constant of variation k.

a)

$\frac{1}{4}$

b)

$\frac{3}{12}$

c)

$4$

d)

$8$

10.

Describe and correct the error in telling whether x and y show direct variation

a)

It is not a direct variation because the graph does not pass through the origin (0, 0).

b)

The graph shows direct variation because it is a straight line.

c)

It is a direct variation and the constant of variation is 1

11.

"y varies directly as x, and y = 4 when x = 2. What is the value of y if x = 8?

a)

4

b)

8

c)

12

d)

16

12.

Which of the following table of values shows a direct variation?

a)

b)

c)

d)

None of these

13.

y varies directly with x and y = 2 when x = 5. Determine the value of x when y = 4.

a)

20

b)

10

c)

4

d)

2

14.

What equation does the table of values represent?

a)

$y=\frac{1}{3}x$

b)

$y=3x$

c)

$y=6x$

d)

$y=8x$

15.

Determine the value of k with the given table of values.

a)

$10$

b)

$9$

c)

$3$

d)

$\frac{1}{3}$

Direct Variation (Basic Concepts)

Total questions: 15

Worksheet time: 20mins

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