Direct Variation Worksheet
A Grade 12 mathematics worksheet focusing on direct variation, including identifying direct variation, writing equations, and solving problems.
Includes
Standards
Topics
Direct Variation
Name:
Date:
Score:
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
4
12
36
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.
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