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Direct and Inverse Variation

Explore direct and inverse variation relationships through equations, tables, and graphs for 8th-grade math students.

Grade 8 Math AlgebraDirect and Inverse Variation
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.8.F.B.4

Topics

mathalgebravariationdirect variationinverse variationgrade 8
8 sections · Free to use · Printable
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Direct and Inverse 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 equation represents a direct variation?

a

y = 3x + 2

b

y = 5/x

c

y = -4x

d

y = x - 7

2. If y varies inversely with x, and y = 6 when x = 2, what is the constant of variation?

a

3

b

12

c

8

d

4

3. In a direct variation, as one quantity increases, the other quantity  .

4. The graph of a direct variation is always a   line that passes through the  .

5. In an inverse variation, if x is doubled, y is  .

6. The amount of flour needed for a recipe varies directly with the number of servings. If 2 cups of flour are needed for 8 servings, how many cups of flour are needed for 12 servings?

7. Plot the points for the direct variation equation y = 2x on the graph below.

-10-8-6-4-2246810-10-8-6-4-2246810

8. The product of x and y is constant in a direct variation.

T

True

F

False

9. If y varies inversely with x, then as x increases, y decreases.

T

True

F

False

10. The time it takes to travel a certain distance varies inversely with the speed. If it takes 3 hours to travel a distance at 60 mph, how long will it take to travel the same distance at 45 mph?