7th Grade Math (Math 7) · Chapter 5 · Lesson 5.2 · Printable PDF

The Distributive Property with Variables Worksheet with Answer Key

7 problems on the distributive property with variables: expanding with positive and negative factors, a letter outside the parentheses, phrases written as expressions, finding mistakes, a hexagon's perimeter, and a false equivalence. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable The distributive property with variables worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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What's on the worksheet

  1. Expand each expression.
    6(w + 3)(2r + 9) \cdot 58(3p + 2q + 4)\dfrac{3}{4}(12d + 20)1.5(4v + 6)
  2. Expand each expression, watching the sign of every product.
    -5(z + 4)7(2e - 3)-(3s - 8)-6(4 - 3u)-\dfrac{2}{3}(9g - 12)
  3. Expand when the factor outside has a letter in it.
    t(t + 11)-m(3m - 2)4c(2c - 5d)
  4. Write each phrase as a product with parentheses and expand it.
  5. Find Omar's mistake in each expansion and write the correct one.
  6. Write a hexagonal badge's perimeter as a product and expand it.
  7. Show that Mia is wrong that two expressions are equivalent.

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

The distributive property with variables: the lesson ›

More Chapter 5 worksheets: Equivalent expressions