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The Distributive Property

This guide explains the Distributive Property, a fundamental concept in algebra that involves distributing a number outside parentheses to each term inside. You'll find clear examples demonstrating how to apply the property, including working with positive and negative signs. The document also includes practice problems for you to try on your own, ensuring you understand how to simplify expressions accurately using this property. Perfect for students looking to strengthen their algebra skills!

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The Distributive Property

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  1. The Distributive Property

  2. The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac a(b - c) = ab – ac Example #1 5(x + 7) = 5 • x + 5 • 7 = 5x + 35

  3. Example #2 3(m - 4) =3 • m - 3 • 4 =3m - 12 Example #3 -2(y + 3) = -2 • y + (-2) • 3 = -2y + (-6) = -2y - 6

  4. Be very careful with the signs! Example #4 and #5 -7(2x – 5) = -7 • 2x - 7 • (-5) = -14x + 35 x(3x – 8) = x • 3x + x • (-8) = 3x2 - 8x

  5. Be very careful with the signs! Example #6 -½x(2x – 6) = - ½x• 2x - ½x• (-6) = -x2 + 3x

  6. Your turn • 7(3x – 8) • -5(6 – x) • x(x + 9)

  7. Homework Worksheet

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