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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 3/
  5. Distributive Property & Like Terms
Grade 6 · Unit 3Topic 3 of 3~14 min

Distributive Property & Like Terms

Spread the number outside the parentheses, then combine matching terms.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

The distributive property

To remove parentheses, multiply the number outside by every term inside. For example, 3(x + 4) = 3·x + 3·4 = 3x + 12.

Combining like terms

Like terms have the exact same variable part. You can add or subtract their coefficients (the numbers in front). Constants combine with constants.

Worked example

Simplify 2x + 4 + 3x − 1.

  1. →Group like terms: (2x + 3x) + (4 − 1).
  2. →Combine: 5x + 3.

Watch out

5x and 5 are NOT like terms — one has a variable and one does not.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Distributive Property

Multiply a number across terms inside parentheses.

Watch on YouTube
Math Antics

Combining Like Terms

Add or subtract terms that share the same variable part.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Equivalent expressions practice

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Distributive Property & Like Terms

Question 1 of 3

Easy

Which expression is equivalent to 3(x + 4)?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Writing Algebraic Expressions→Finished the unit?Back to Unit 3