Direct Variation Worksheet
Explore direct variation with this Grade 9 math worksheet, covering identifying direct variation, writing equations, and solving problems.
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Direct Variation Worksheet
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following equations represents a direct variation?
y = 2x + 3
y = x - 5
y = (1/2)x
y = 4/x
2. If y varies directly as x, and y = 12 when x = 3, what is the constant of variation?
3
4
12
36
3. A direct variation can be represented by the equation y = , where k is the constant of variation.
4. In a direct variation, as one variable increases, the other variable also .
5. The graph of a direct variation always passes through the origin (0,0).
True
False
6. The constant of variation can be found by dividing y by x (k = y/x).
True
False
7. The number of hours (h) it takes to complete a project varies directly with the number of people (p) working on it. If it takes 5 people 10 hours to complete a project, how long will it take 8 people?
8. Write an equation that represents the direct variation shown in the table below:
x | y
2 | 8
4 | 16
6 | 24
9. Graph the direct variation equation y = 2x on the coordinate plane below.
10. Identify whether the graph below represents a direct variation. Explain your reasoning.
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