CurriculumGrade 6Mathematics

Making Equivalent Expressions

Aligned to 6.EE.A.3 — Common Core State Standards for Mathematics.

What this lesson teaches

You can rewrite an expression in a simpler equal form using the distributive property or by combining like terms (terms with the same variable).

Worked example

Simplify 2(x + 4) + 3x: distribute → 2x + 8 + 3x, then combine like terms 2x and 3x → 5x + 8.

Practice questions

  1. Use the distributive property to expand 5(y + 2).
  2. Combine like terms: 6a + 2 + 3a.
  3. Simplify 4(n + 1) + 2n − 3.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Crear Expresiones Equivalentes

Puedes reescribir una expresión en una forma equivalente más simple usando la propiedad distributiva o combinando términos semejantes (los que tienen la misma variable).

Ejemplo: Simplifica 2(x + 4) + 3x: distribuye → 2x + 8 + 3x, luego combina los términos semejantes 2x y 3x → 5x + 8.

More Expressions & Equations lessons

Solving One-Step Equations6.EE.B.7Expressions and Exponents6.EE.A.1Writing and Evaluating Expressions6.EE.A.2Are Two Expressions Equal?6.EE.A.4What It Means to Solve6.EE.B.5Using Variables in Word Problems6.EE.B.6

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