Proportional and Nonproportional Relationships Worksheets
Decide whether equations and value tables have a constant ratio y/x and pass through the origin.
Before you begin
Multiply, divide and simplify fractions. Read quantities with their units.
Worked example
Is y = 7x a proportional relationship? Explain.
- A proportional relationship has the form y = kx.
- The constant of proportionality is 7.
Answer: Yes; y/x = 7 for every nonzero x and the graph passes through (0, 0).
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
Is y = 5x a proportional relationship? Explain.
2
Is y = 7x + 8 a proportional relationship? Explain.
3
Is y = 11x a proportional relationship? Explain.
4
Is y = 2x + 6 a proportional relationship? Explain.
5
Is y = 12x a proportional relationship? Explain.
6
Is y = 9x + 1 a proportional relationship? Explain.
Answer Key
1. Yes; y/x = 5 for every nonzero x and the graph passes through (0, 0).2. No; the nonzero constant term means it does not pass through (0, 0).3. Yes; y/x = 11 for every nonzero x and the graph passes through (0, 0).4. No; the nonzero constant term means it does not pass through (0, 0).5. Yes; y/x = 12 for every nonzero x and the graph passes through (0, 0).6. No; the nonzero constant term means it does not pass through (0, 0).