Linear vs Nonlinear Functions Worksheet | 8th Grade Math | Graphs & Tables

Make teaching linear vs nonlinear functions clear and effective with this comprehensive 8th grade math worksheet aligned to your Functions unit. This resource helps students analyze and compare functions using tables, graphs, equations, and real-world situations, while focusing on key concepts like rate of change and function behavior.

This worksheet is ideal for classwork, homework, math centers, review, or test prep and is designed to build a strong understanding of how functions behave across multiple representations.

What’s Included:

• Warm-Up section with key vocabulary and definitions
• Pre-requisite review questions to activate prior knowledge
• 6 structured practice sections (60+ questions total)
• Graph analysis and interpretation tasks
• Real-world application problems
• Extended response questions for deeper thinking
• Complete answer key
• 00% editable file so you can adjust questions to meet your students’ needs

Detailed Worksheet Breakdown: Warm-Up & Vocabulary
Students review essential terms such as function, linear vs nonlinear, rate of change, slope, and increasing/decreasing behavior.

Part A: Tables (Linear vs Nonlinear)
Students determine whether relationships are linear by analyzing constant vs non-constant rates of change.

Part B: Equations
Students identify linear and nonlinear equations, including examples with exponents and roots.

Part C: Graph Analysis
Students interpret graphs and describe key features such as:

• Increasing, decreasing, or constant intervals
• Linear vs nonlinear behavior

Part D: Multiple Representations
Students compare tables, graphs, and equations to strengthen understanding across representations.

Part E: Real-World Applications
Students apply their knowledge to real-life scenarios involving growth, motion, and measurement.

Part F: Extended Response
Students explain their reasoning and compare linear and nonlinear functions in written form.

Standards Alignment: This resource is aligned to:

• CCSS 8.F.A.3 – Interpret the equation y=mx+b as defining a linear function
• CCSS 8.F.B.5 – Describe qualitative features of functions such as increasing, decreasing, and constant intervals

These standards focus on analyzing functions using graphs, tables, and equations, which is the central focus of this worksheet

Why This Resource Works:

• Covers linear vs nonlinear functions in depth
• Reinforces connections between multiple representations
• Requires no prep for teachers
• Fully editable for differentiation and customization
• Includes answer key for efficient grading
• Supports both independent and guided practice

Best For:

• 8th Grade Math
• Functions Unit
• Algebra Readiness
• Review and Test Prep
• Homework or Practice Assignments

This worksheet provides structured, standards-aligned practice to help students confidently identify and compare linear and nonlinear functions while saving you valuable planning time.