Grade 8 · Unit 2~46 min2 topics · 3 videos

Linear Equations

Solve more complex linear equations. You'll work through multi-step equations, handle variables on both sides, and recognize when an equation has one solution, no solution, or infinitely many solutions.

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Work through these

Topics in this unit

Each topic is a short page: read the walkthrough, watch the video, try the practice, then take a quick quiz. Go in order or jump to what you need.

Multi-Step Equations

Combine like terms and use inverse operations to solve.

1 video
Practice
2-question quiz
~22 min

Variables on Both Sides

Move variable terms to one side, then solve — and spot special cases.

2 videos
Practice
2-question quiz
~24 min

Goals

Learning objectives

By the end of this unit, you should be able to:

Solve multi-step linear equations using inverse operations.
Solve equations with variables on both sides.
Recognize equations with one, no, or infinitely many solutions.
Check solutions by substitution.

Key vocabulary

Linear equation: An equation whose variable is only to the first power.
Inverse operation: An operation that undoes another, like subtraction undoing addition.
No solution: An equation that is never true, like 3 = 5 after simplifying.
Infinitely many solutions: An equation true for every value, like 4 = 4 after simplifying.

More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Solving equations practice

Open resource

Math Worksheets 4 Kids

Equation worksheets

Open resource

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