Direct Variation Worksheet

Explore direct variation with this Grade 6 math worksheet, featuring questions on identifying, writing, and graphing direct variation equations.

Grade 6 Math AlgebraDirect Variation

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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.6.RP.A.3.ACCSS.MATH.CONTENT.6.EE.C.9

Topics

mathalgebradirect variationgrade 6

7 sections · Free to use · Printable

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Direct Variation Practice

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Read each question carefully and answer to the best of your ability. Show all your work where space is provided.

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

y = x + 5

y = 3x

y = x - 2

y = x / 4 + 1

2. In a direct variation, what happens to 'y' if 'x' is doubled?

y is halved

y remains the same

y is doubled

y is tripled

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

4. The equation for direct variation can be written as y = kx, where k is the of variation.

5. If y varies directly with x, and y = 10 when x = 2, write the equation that represents this direct variation.

6. A car travels at a constant speed. The distance (d) it travels varies directly with the time (t) it has been traveling. If the car travels 150 miles in 3 hours, write an equation for the direct variation.

7. Graph the direct variation equation y = 2x on the coordinate plane below.

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

True

False

9. If y = 5x is a direct variation, then the constant of variation is 1/5.

True

False