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.
Includes
Standards
Direct Variation
Name:
Date:
Score:
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
5
15
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?
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