# SWBAT use the distributive property to simplify expressions

SWBAT… use the distributive property to simplify expressions Thurs, 9/23 Agenda 1. Warm-up (10 min) 2. Review hw#1 (10 min) 3. Distributive property / practice (15 min) 4. OYO (On Your Own) practice problems (5 min) Warm-Up: Evaluate the expressions when x = -3 and y = -5 1. ) 2 x 2 – y + x 2. ) x 3 + y 2 3. ) HW#2 -Distributive Property

n Example: 1. Is x 2 – 5 x + 6 this an expression or equation? Expression 2. What are the terms? x 2 , -5 x, 6 3. What are the variable terms? x 2, -5 x 4. What is the constant term? 6 5. What are the coefficients? 1, -5

Let’s review HW#1: Evaluating expressions

Simplifying Algebraic Expressions using the Distributive Property Infinity HS Ms. Sophia Papaefthimiou

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

The Distributive Property The process of distributing by multiplying the number and/or variable 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) 5 x + 35

Example #2 3(m – 4) (3)(m) – (3)(4) 3 m – 12 Example #3 -2(y + 3) (-2)(y) + (-2)(3) -2 y + (-6) -2 y – 6

Example #4 -5(z – 9) (-5)(z) – (-5)(9) -5 z + 45 Example #5 -5(n 2 + n – 25) (-5)(n 2) + (-5)(n) – (-5)(25) -5 n 2 – 5 n + 125

Which statement demonstrates the distributive property incorrectly? 1. 2. 3. 4. 3(x + y + z) = 3 x + 3 y + 3 z (a + b)c = ac + bc 5(2 + 3 x) = 10 + 3 x 6(3 k – 4) = 18 k – 24 Answer Now

The algebraic rule p = 5(2 t – 20) expresses the profit, p, for a school dance in terms of the number tickets sold, t. Which is an equivalent form of this rule? 1. 2. 3. 4. p = 10 t – 100 p = -10 t p = 7 t – 15 p = 10 t – 20 Answer Now

OYO (On Your Own) Problems 1. 2. 3. 4. 5. 8(x – 2) -6(x + 5) + 8 x 2 (4 x) 2 -(x – 6) -s(o – p + h – i + a)

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