Proportional vs. Non-Proportional Worksheet 2

Decide whether equations and value tables have a constant ratio y/x and pass through the origin.

easy: Start with the preview and follow the worked example.

12 problems · 15-20 minutes · Skills: proportional relationships, graphs

About This Worksheet

This easy-level worksheet contains 12 problems designed for 7th Grade students practicing proportional vs. non-proportional. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Multiply, divide and simplify fractions. Read quantities with their units.

Decide whether equations and value tables have a constant ratio y/x and pass through the origin.
Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Is y = 7x a proportional relationship? Explain.

Solution Steps:

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).

Tip: Check your result using the method in the example before moving to the next question.

Paper Include separate answer key in PDF

Is y = 5x a proportional relationship? Explain.

Is y = 8x + 3 a proportional relationship? Explain.

Is y = 12x a proportional relationship? Explain.

Is y = 12x + 2 a proportional relationship? Explain.

Is y = 4x a proportional relationship? Explain.

Is y = 8x + 8 a proportional relationship? Explain.

Is y = 11x a proportional relationship? Explain.

Is y = 11x + 2 a proportional relationship? Explain.

Is y = 9x a proportional relationship? Explain.

Is y = 13x + 7 a proportional relationship? Explain.

Is y = 8x a proportional relationship? Explain.

Is y = 2x + 6 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 = 12 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 = 4 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).7. Yes; y/x = 11 for every nonzero x and the graph passes through (0, 0).8. No; the nonzero constant term means it does not pass through (0, 0).9. Yes; y/x = 9 for every nonzero x and the graph passes through (0, 0).10. No; the nonzero constant term means it does not pass through (0, 0).11. Yes; y/x = 8 for every nonzero x and the graph passes through (0, 0).12. No; the nonzero constant term means it does not pass through (0, 0).

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this proportional vs. non-proportional - worksheet 2 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this proportional relationships worksheet cover?

This worksheet focuses on proportional relationships, graphs. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 12 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.