MyMathKidK-8 Curriculum

Grade 8 Linear Equations Worksheets

Master linear equations step by step, from basic concepts to advanced problem solving

Common Core: 8.EE

Watch & Learn

Learning Path

Start with Lesson 1 and work your way through!

1

Multi-Step Equations

Easy

Solve complex multi-step equations

Combine like termsUse inverse operations
2

Variables on Both Sides

Medium

Equations with variables on both sides

Move variables to one sideSolve for x
3

Special Cases

Medium

No solution and infinite solutions

Identify no solutionIdentify infinite solutions
4

Word Problems

Easy

Real-world linear equations

Set up a linear equation from a storySolve and interpret the solution in context
5

Unit Review

Easy

Review all linear equations

Review all conceptsPrepare for assessment

How to solve Grade 8 linear equations problems

Real problems from these worksheets, solved one step at a time — the same explanations your child sees when practicing online.

  1. Example 1

    Solve: 5(x + 1) = 70

    1. Distribute the 5: 5 × x + 5 × 1 = 5x + 5, so 5x + 5 = 70.
    2. Subtract 5 from both sides: 5x = 70 − 5 = 65.
    3. Divide both sides by 5: x = 65 ÷ 5 = 13.
    4. Check: 5 × (13 + 1) = 70 ✓ So x = 13.

    Answer: 13

  2. Example 2

    Solve: 5x − 11 = −51 − 5x

    1. Add 5x to both sides: 10x − 11 = −51.
    2. Add 11 to both sides: 10x = −51 + 11 = −40.
    3. Divide both sides by 10: x = −40 ÷ 10 = −4.
    4. Check: 5 × (−4) − 11 = −31 and −51 − 5 × (−4) = −31 ✓ So x = −4.

    Answer: −4

  3. Example 3

    Solve: 2x + 10 = 45 − 5x

    1. Add 5x to both sides: 7x + 10 = 45.
    2. Subtract 10 from both sides: 7x = 45 − 10 = 35.
    3. Divide both sides by 7: x = 35 ÷ 7 = 5.
    4. Check: 2 × 5 + 10 = 20 and 45 − 5 × 5 = 20 ✓ So x = 5.

    Answer: 5

Frequently Asked Questions

Are these Grade 8 Linear Equations worksheets free?
All printable Linear Equations worksheets on MyMathKid are free to download and print. Answer keys are a premium feature available with a subscription.
How many Linear Equations worksheets are available for Grade 8?
There are 5 progressive Linear Equations lessons with worksheets for Grade 8, covering skills from foundational concepts to advanced problem solving.
Are these Linear Equations worksheets aligned to Common Core?
Yes — Grade 8 Linear Equations aligns with Common Core 8.EE (Expressions & Equations).
What will my child practice with these Linear Equations worksheets?
Your child will practice: Multi-Step Equations, Variables on Both Sides, Special Cases, Word Problems, and more.