Direct Variation Worksheet

A Grade 11 math worksheet focused on understanding and applying direct variation concepts, including identifying direct variation, writing equations, and solving problems.

Grade 11 Math AlgebraDirect Variation

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10

8 sections · Free to use · Printable

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Direct 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 of the following equations represents a direct variation?

y = 3x + 2

y = x - 5

y = 4x

y = 2/x

2. If y varies directly as x, and y = 15 when x = 5, what is the constant of variation?

1/3

3. The general form of a direct variation equation is y = .

4. In a direct variation, the ratio of y to x is always .

5. If y varies directly as x, and y = 20 when x = 4:

a) Write an equation that relates y and x.

b) Find the value of y when x = 7.

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

True

False

7. Plot the graph of the direct variation equation y = 2x on the coordinate plane below.

8. The distance a car travels varies directly with the time it travels. If a car travels 180 miles in 3 hours, how far will it travel in 5 hours?