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Direct and Inverse Variation Worksheet

This worksheet covers direct and inverse variation concepts, including identifying relationships, solving problems, and graphing.

Grade 10 Math AlgebraDirect and Inverse Variation
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.LE.A.1.B
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Direct and Inverse Variation

Name:

Date:

Score:

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 = x + 3

b

y = 3x

c

y = 3/x

d

y = x - 3

2. If y varies inversely as x, and y = 4 when x = 2, what is the constant of variation?

a

2

b

6

c

8

d

1/2

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

2. The equation for inverse variation is y =  , where k is the constant of variation.

1. If y varies directly as x, and y = 10 when x = 5, find y when x = 12.

2. The time (t) it takes to travel a certain distance varies inversely with the speed (s). If it takes 4 hours to travel a distance at 60 mph, how long will it take to travel the same distance at 80 mph?

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

T

True

F

False

2. The graph of an inverse variation is a parabola.

T

True

F

False

1. Graph the direct variation y = 2x.

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