Direct Variation Worksheet

A Grade 12 mathematics worksheet focusing on direct variation, including identifying direct variation, writing equations, and solving problems.

Grade 12 Math AlgebraDirect Variation

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

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

Topics

MathAlgebraDirect VariationGrade 12

7 sections · Free to use · Printable

Direct Variation

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Read each question carefully and provide clear, concise answers. Show all your work for full credit.

1. Which of the following equations represents a direct variation?

y = 3x + 2

y = x/5

y = 2/x

y = x^2

2. If y varies directly as x, and y = 12 when x = 3, what is the constant of variation?

3. The equation for direct variation is y = kx, where k is the .

4. In a direct variation, as one variable increases, the other variable also .

5. The cost (C) of apples varies directly with their weight (w) in kilograms. If 3 kg of apples cost $7.50, write an equation that relates C and w.

6. If y varies directly as x, and y = 20 when x = 4, find y when x = 7.

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

True

False

8. In a direct variation, the ratio y/x is constant.

True

False

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