WARM UP 4 MENTAL MATH Use mental math

WARM UP 4 MENTAL MATH Use mental math to solve the equation. (Lesson 1. 4) 1. 6+x=8 2. x– 7=4 3. 8–x=4 4. 3 x = 15 5. (x)(2) = 24 6. X÷ 6=2

WARM UP 3 MENTAL MATH Use mental math to solve the equation. (Lesson 1. 4) 1. 6+x=8 2. x– 7=4 3. 8–x=4 4. 3 x = 15 5. (x)(2) = 24 6. X÷ 6=2

WARM UP 2 MENTAL MATH Use mental math to solve the equation. (Lesson 1. 4) 1. 6+x=8 2. x– 7=4 3. 8–x=4 4. 3 x = 15 5. (x)(2) = 24 6. X÷ 6=2

WARM UP 1 MENTAL MATH Use mental math to solve the equation. (Lesson 1. 4) 1. 6+x=8 2. x– 7=4 3. 8–x=4 4. 3 x = 15 5. (x)(2) = 24 6. X÷ 6=2

WARM UP 0 MENTAL MATH Use mental math to solve the equation. (Lesson 1. 4) 1. 6+x=8 2. x– 7=4 3. 8–x=4 4. 3 x = 15 5. (x)(2) = 24 6. X÷ 6=2

2. 6 The Distributive Property Today’s Objective Simplify expressions using the distributive property.

Distribution What operation happens here?

Definition Distributive Property A number outside parenthesis must be multiplied by everything inside Ex. Keyword = SHARED

Distributive Property Think of it like this… Ex. 3(x + 2) = ? ? ? ** 3 is the candy. We must share the candy with everyone. That is, we must share 3 with x & 2. 3 3 3

Distributive Property • Think of it like this… Ex. -10(x + 9) = ? ? ? Uh oh! Don’t lose the negative sign as you distribute the spotlighted number!! -10(x + 9) -10(x) + -10(9) -10 x + -90 -10 x - 90

Distributive Property • Think of it like this… Ex. -5(x – 7) = ? ? ? Make sure you know where your negative signs are in this problem!!!!! -5 (x – 7)

Distributive Property • Think of it like this… Ex. 3(2 x +3 y – 4) = ? ? ? 3 (2 x + 3 y – 4)

Distributive Property • Think of it like this… Ex. -5(2 x – y) = ? ? ? Make sure you know where your negative signs are in this problem!!!!! -5 (2 x – y)

Distributive Property EXAMPLE 1 2(x + 5)

Distributive Property EXAMPLE 2 8(1 + 2 x)

Distributive Property EXAMPLE 3 5(x + 3)

Distributive Property EXAMPLE 4 (2 x + 6)3

Distributive Property EXAMPLE 5 2(x – 5)