Linear vs. Non-Linear Functions Worksheets for 8th Grade
Compare linear and non-linear functions using tables and graphs.
About Linear vs. Non-Linear Functions
Functions are the central concept of all of algebra and the bridge between arithmetic and higher mathematics. Students learn what a function is, how to identify functions from tables, graphs, and mappings, how to distinguish linear from non-linear functions, and how to graph linear functions and interpret slope as a rate of change. This unit rewires how students think about mathematical relationships.
The distinction between linear and non-linear is one of the most important categorizations in mathematics. Linear functions model constant change; non-linear models describe accelerating growth, decay, and oscillation. Recognizing which applies is essential for mathematical modeling.
What Your Child Will Learn
- Identify linear functions from tables by checking for a constant rate of change
- Distinguish linear and non-linear graphs by shape
- Classify functions as linear or non-linear from equations
- Explain why a curve indicates a non-constant rate of change
- Match real-world scenarios to linear or non-linear function models
Worksheets by Difficulty
Start with Easy worksheets to build confidence, then progress to Medium and Hard as your student masters each level.
Understanding the Difficulty Levels
Worksheets 1-3 are Easy level — designed to build confidence with simpler numbers and straightforward problem types. Great for introducing the concept or reviewing basics.
Worksheets 4-7 are Medium level — offering a moderate challenge with larger numbers, varied question types, and more problems per worksheet.
Worksheets 8-10 are Hard level — featuring the most challenging problems including multi-step questions, missing values, and real-world applications.
Tips for Parents & Teachers
Use everyday function examples: a vending machine is a function (press A3, get chips). A broken vending machine that gives random items is not a function.
Practice finding slope from two points on a graph or table — this skill is tested constantly in middle and high school.
Help your student interpret slope with units: "3 miles per hour" means the slope is 3, with miles per hour as the unit.
The vertical line test is a quick classroom tool, but understanding why it works (one output per input) is more important.
Frequently Asked Questions
What will my child learn from linear vs. non-linear functions worksheets?
These 8th Grade linear vs. non-linear functions worksheets help students practice functions, linear, graphs. Each worksheet provides structured practice with clear instructions and varied problem types.
How often should my 8th Grade student practice linear vs. non-linear functions?
Consistent practice works best. We recommend 10-15 minutes of focused practice 3-4 times per week. Start with Easy worksheets and progress to Medium and Hard as your student builds confidence.
Are these linear vs. non-linear functions worksheets free to print?
Yes, all 8th Grade linear vs. non-linear functions worksheets on K12Worksheets are completely free. You can download and print as many as you need for home or classroom use — no signup required. Each worksheet includes a printable answer key on a separate page.
How do I know which linear vs. non-linear functions worksheet to start with?
Begin with the Easy worksheets (Worksheets 1–3) to assess your student's current skill level. If they complete these confidently, move to Medium (Worksheets 4–7). Reserve Hard worksheets (Worksheets 8–10) for students who have mastered the basics. If your student struggles with Easy worksheets, revisit prerequisite topics first.