Objective The student will be able to: use the distributive property to simplify expressions.

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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 -

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Using the Distributive Property to Simplify Algebraic Expressions

Presentation transcript:

Objective The student will be able to: use the distributive property to simplify expressions.

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 and(b + c) a = ba + ca a(b - c) = ab - acand(b - c) a = ba - ca

Example #1 5(x + 7) 5 x x + 35

Example #2 3(m - 4) 3m m - 3 4

Example #3 -2(y + 3) -2 y + (-2) 3 -2y + (-6) -2y - 6

Which statement demonstrates the distributive property incorrectly? 1. 3(x + y + z) = 3x + 3y + 3z 2. (a + b) c = ac + bc 3. 5(2 + 3x) = x 4. 6(3k - 4) = 18k - 24 Answer Now

Which of the following is the simplified form of: - (-5x + 12)? 1. -5x x x x - 11 Answer Now

Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ? a a a + 36 Answer Now