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Learning Goal

Part of: Apply and extend previous understandings of arithmetic to algebraic expressions3 of 4 cluster items

Apply the properties of operations to generate equivalent expressions

6.EE.A.3

**6.EE.A.3**: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

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6.EE.A.3: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

What you'll learn

  1. Apply the distributive property to expand expressions: rewrite a(b + c) as ab + ac and a(b + c + d) as ab + ac + ad
  2. Apply the distributive property in reverse to factor expressions: rewrite ab + ac as a(b + c) by identifying the common factor
  3. Combine like terms by recognizing that variables with the same letter and exponent can be added: simplify y + y + y to 3y

Slides

Interactive presentations perfect for visual learners • Interactive presentation

Slide Video

Watch narrated slides play like a video lesson • Narrated slide playback

Exercises

Practice problems to build fluency and understanding • 1 exercises