Direct and Inverse Variation

A Grade 12 math worksheet on direct and inverse variation, covering identification, equation writing, and problem-solving.

Grade 12 Math AlgebraDirect and Inverse Variation

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

AlgebraVariationDirect VariationInverse VariationGrade 12

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 + 5

y = 3x

y = 5/x

y = x - 3

2. Which scenario describes inverse variation?

The number of hours worked and the amount of pay.

The speed of a car and the time it takes to travel a fixed distance.

The side length of a square and its perimeter.

The number of items bought and the total cost.

3. If y varies directly as x, then the equation relating them is y = .

4. If y varies inversely as x, then the equation relating them is y = .

5. The constant of variation is typically represented by the letter .

6. If y varies directly as x, and y = 15 when x = 5, find y when x = 12.

7. If y varies inversely as x, and y = 4 when x = 6, find y when x = 3.

8. In direct variation, as one variable increases, the other variable decreases.

True

False

9. The graph of a direct variation is always a straight line passing through the origin.

True

False

10. The current I in an electrical circuit is inversely proportional to the resistance R. If the current is 0.5 amperes when the resistance is 240 ohms, what is the current when the resistance is 150 ohms?