Direct and Inverse Variation Worksheet

Understand and apply concepts of direct and inverse variation with this Grade 9 math worksheet.

Grade 9 Math AlgebraDirect and Inverse Variation

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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1.ACCSS.MATH.CONTENT.HSA.CED.A.2

Topics

MathAlgebraDirect VariationInverse VariationGrade 9

7 sections · Free to use · Printable

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Direct and Inverse Variation

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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 direct variation?

y = x + 3

y = 4x

y = 5/x

y = x^2

2. If y varies inversely as x, and y = 10 when x = 2, what is the constant of variation?

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

4. The equation for inverse variation is y = k / x, where k is the constant of .

5. The cost (C) of apples varies directly with their weight (W). If 3 pounds of apples cost $4.50, what is the cost of 5 pounds of apples?

6. The time (T) it takes to complete a task varies inversely with the number of workers (N). If 4 workers can complete a task in 6 hours, how long will it take 8 workers to complete the same task?

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

True

False

8. In an inverse variation, as one quantity increases, the other quantity also increases.

True

False

9. Plot the points for the direct variation y = 2x on the coordinate plane.

10. Plot the points for the inverse variation xy = 12 on the coordinate plane (for positive x and y values).