Algebra 1 · Chapter 1 · Lesson 1.3 · Printable PDF · Free

Commutative, Associative and Distributive Properties Worksheet with Answer Key

7 problems on the commutative, associative and distributive properties: writing and rearranging expressions, factoring, mental multiplication, justifying steps, and a made-up operation. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems2 pagesanswer keylesson handout
Printable Commutative, associative and distributive properties worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Complete each statement so it is an example of the property named.
  2. Word problem: write two expressions for Hannah's weekend pay at the bike shop.
  3. Explain what went wrong in Hannah's simplifying, then simplify correctly.
  4. Factor with a negative factor outside the parentheses, and check by expanding.
  5. Multiply 42 and 62 without a calculator using four partial products.
  6. Name the property or arithmetic behind each numbered step in a short derivation.
  7. Explore a new operation on real numbers: evaluate it and test whether it is commutative.

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Commutative, associative and distributive properties: the lesson ›