1-4 The Distributive Property

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Presentation transcript:

1-4 The Distributive Property Goal: Use the distributive property to evaluate and simplify expressions.

Vocabulary = 2(x + 5) = 2(x) + 2(5) 2x + 10 (x + 5)2 = (x)2 + (5)2 = Distributive Property - Multiplying a term outside parenthesis by all terms inside parenthesis. = 2(x + 5) = 2(x) + 2(5) 2x + 10 (x + 5)2 = (x)2 + (5)2 = 2x + 10

BE CAREFUL WITH NEGATIVES!!! THE DISTRIBUTIVE PROPERTY (–3)(1 + x) = –3 – 3x (y – 5)(–2) = –2y + 10 –(7 – 3x) = –7 + 3x Forgetting to distribute the negative sign when multiplying by a negative factor is a common error.

Examples 3(x + 7) -5(y + 6) 4x(3x – 8) (6x – 5)(-12) 4(y2 + 8y + 2)

Simplify 6(x – 4). A. 6x – 4 B. 6x – 24 C. x – 24 D. 6x + 2

Simplify 3(x3 + 2x2 – 5x + 7). A. 3x3 + 2x2 – 5x + 7 B. 4x3 + 5x2 – 2x + 10 C. 3x3 + 6x2 – 15x + 21 D. x3 + 2x2 – 5x + 21

Distributive Property and Combining like terms 5x + 3(2x – 7) 5x + 6x – 21 11x – 21 Distribute Combine Like Terms

Distributive Property and Combining like terms 3 – 2(4 + x) 3 – 8 – 2x –5 – 2x

examples 4(2x – 3) + 7x 2 + 6(-4x + 8) 5x – 4(3x – 9) 6x(3x – 8) + 12x

Simplify the expression 3(2x – y) + 2(4x + y). A. 2x + 4y B. 11x C. 14x – y D. 12x + y

Practice Worksheet – “Simplifying Algebraic Expressions”

homework Pages 29-30 #25-28, 33-39, 46, 47