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Equivalent Expressions Using the Distributive Property

Learn how to rewrite expressions using the distributive property to simplify and solve mathematical problems. Practice examples provided. Need help? Just ask!

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Equivalent Expressions Using the Distributive Property

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  1. Equivalent Expressions Using theDistributive Property

  2. 3 (5) = 5 + 5 + 5

  3. 2 ( 4 + 6)

  4. =( 4 + 6) + ( 4 + 6) = 4+6+4+6 = 4+4+6+6 = 2(4) + 2(6)

  5. 2 ( 4 + 6) = 2(4) + 2(6)

  6. 4 ( m + n)

  7. =( m + n) + ( m + n) + ( m + n) + ( m + n) =m+m+m+m+n+n+n+n = 4m + 4n

  8. 4 ( m + n) = 4m + 4n

  9. Let’s Try It! Write an equivalent expression using the distributive property.

  10. 1. 6 ( 4 + 5)

  11. Answer:

  12. 2. 8 ( r + 5)

  13. Answer:

  14. 3. a ( b + c)

  15. Answer:

  16. 4. 9 ( 4x + y)

  17. Answer:

  18. Let’s reverse it… 7∙3 + 7∙8 = 7(3+8)

  19. 10c + 10d = 10(c+d)

  20. Try It! 8(6) + 8(7)

  21. Answer:

  22. 6) 4x + 4y

  23. Answer:

  24. 7) 15a + 20b

  25. Answer:

  26. Practice p.146 (#17-23) Use a sheet of notebook paper, and ASK if you need help!

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