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Direct Variation Worksheet

A Grade 10 math worksheet covering direct variation, including identifying direct variation, writing equations, and solving problems.

Grade 10 Math AlgebraDirect Variation
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Includes

Multiple ChoiceFill in the Blanks3 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.8.F.A.3CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

mathalgebradirect variationgrade 10
9 sections · Free to use · Printable
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Direct Variation

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following equations represents direct variation?

a

y = 3x - 2

b

y = x/4

c

y = 5/x

d

y = x^2

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

3. The constant of variation is represented by the letter   in the equation y = kx.

4. If y varies directly as x, and y = 15 when x = 3, find the constant of variation (k).

5. Write an equation that represents the direct variation described in question 4.

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

T

True

F

False

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

0246810246810

8. The amount of money earned (M) varies directly with the number of hours worked (H). If you earn $75 for 5 hours of work, how much will you earn for 12 hours of work?