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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Grade 7 · Unit 3~66 min3 topics · 6 videos

Expressions & Equations

Work with algebraic expressions and equations. You'll use the distributive property to expand and factor, combine like terms, and solve two-step equations and inequalities — including knowing when to flip an inequality sign.

Start the first topic →See all topics

Unit menu

Unit 3: Expressions & Equations

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice

Unit menu

Unit 3: Expressions & Equations

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
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.

1
Expanding & Factoring Expressions

Use the distributive property and combine like terms.

  • 2 videos
  • Practice
  • 3-question quiz
  • ~22 min
2
Two-Step Equations

Undo two operations to isolate the variable.

  • 2 videos
  • Practice
  • 2-question quiz
  • ~22 min
3
Two-Step Inequalities

Solve like equations — but flip the sign when you multiply or divide by a negative.

  • 2 videos
  • Practice
  • 2-question quiz
  • ~22 min
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Goals

Learning objectives

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

  • ✓Use the distributive property to expand and factor linear expressions.
  • ✓Combine like terms to write equivalent expressions.
  • ✓Solve two-step equations using inverse operations.
  • ✓Solve two-step inequalities and graph their solutions.

Key vocabulary

Coefficient
The number multiplied by a variable, like the 3 in 3x.
Like terms
Terms with the same variable raised to the same power.
Distributive property
a(b + c) = ab + ac.
Inequality
A statement comparing values with <, >, ≤, or ≥.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

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

Khan Academy

Expressions & equations practice

Open resource
Math Worksheets 4 Kids

Equation worksheets

Open resource
Math Worksheets 4 Kids

Inequalities worksheets

Open resource
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Unit 2Ratios & Proportional Relationships→Next up · Unit 4Geometry