Direct Variation Worksheet

Explore direct variation with this Grade 9 math worksheet, covering identifying direct variation, writing equations, and solving problems.

Grade 9 Math AlgebraDirect Variation

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.HSF.LE.A.1.A

Topics

mathalgebradirect variationgrade 9

7 sections · Free to use · Printable

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Direct Variation Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following equations represents a direct variation?

y = 2x + 3

y = x - 5

y = (1/2)x

y = 4/x

2. If y varies directly as x, and y = 12 when x = 3, what is the constant of variation?

3. A direct variation can be represented by the equation y = , where k is the constant of variation.

4. In a direct variation, as one variable increases, the other variable also .

5. The graph of a direct variation always passes through the origin (0,0).

True

False

6. The constant of variation can be found by dividing y by x (k = y/x).

True

False

7. The number of hours (h) it takes to complete a project varies directly with the number of people (p) working on it. If it takes 5 people 10 hours to complete a project, how long will it take 8 people?

8. Write an equation that represents the direct variation shown in the table below:

x | y

2 | 8

4 | 16

6 | 24

9. Graph the direct variation equation y = 2x on the coordinate plane below.

10. Identify whether the graph below represents a direct variation. Explain your reasoning.