Grade 9 Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including direct and inverse proportions, for Grade 9 students.
Includes
Standards
Topics
Proportional Equations
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Date:
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Read each question carefully and solve for the unknown variable. Show all your work.
1. If y is directly proportional to x, and y = 15 when x = 5, what is the constant of proportionality?
3
5
10
15
2. Which equation represents an inverse proportion?
y = 2x
y = x + 2
y = 2/x
y = x - 2
3. In a direct proportion, as one quantity increases, the other quantity also .
4. If two ratios are equal, they form a .
5. The cost of apples is directly proportional to their weight. If 3 kg of apples cost $7.50, how much will 5 kg of apples cost?
6. The time taken to complete a task is inversely proportional to the number of workers. If 4 workers can complete a task in 6 hours, how long will it take 8 workers?
7. The graph of a direct proportion always passes through the origin (0,0).
True
False
8. In an inverse proportion, the product of the two quantities is constant.
True
False
9. Plot the points (1, 2), (2, 4), (3, 6) on the graph. Is this a direct proportion? Explain.
10. A recipe calls for 2 cups of flour for every 3 cups of milk. If you want to use 5 cups of flour, how much milk do you need?