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7th Grade Math (Math 7) · Chapter 5 · Lesson 5.3 · Printable PDF

Distribute, Then Combine Worksheet with Answer Key

5 problems on distributing and then combining like terms: expressions with fraction and decimal coefficients, two ways of simplifying, basketball scoring in terms of baskets, and a claim about equal expressions. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Distribute, then combine worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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What's on the worksheet

  1. Simplify each expression, distributing first and then combining like terms.
    2(5d - 3) + 4d11 + 3(2r - 5)6(h + 2) + 3(2h - 5)9(2 - v) + 4(3v + 1)8z - 5(z - 4)
  2. Simplify with fraction and decimal coefficients.
    \dfrac{3}{4}(8n - 12) + 2n\dfrac{2}{5}(10w + 5) - \dfrac{1}{3}(6w - 9)0.6(5q - 10) + 1.2(q + 5)\dfrac{1}{2}(m + 3) + \dfrac{1}{5}(m - 5)2.5(4 - y) - 0.5(3y + 2)
  3. Simplify each expression in two ways and compare.
  4. Word problem: Priya's team's basketball points in terms of three point baskets.
  5. Simplify a difference of two expressions and explain what the answer shows.

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The free lesson teaches it with worked examples and practice problems.

Distribute, then combine: the lesson ›

More Chapter 5 worksheets: Equivalent expressions