WARM UP MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) x = 8 2. x – 7 = – x = x = (x)(2) = X ÷ 6 = 2 4
WARM UP MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) x = 8 2. x – 7 = – x = x = (x)(2) = X ÷ 6 = 2 3
WARM UP MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) x = 8 2. x – 7 = – x = x = (x)(2) = X ÷ 6 = 2 2
WARM UP MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) x = 8 2. x – 7 = – x = x = (x)(2) = X ÷ 6 = 2 1
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) x = 8 2. x – 7 = – x = x = (x)(2) = X ÷ 6 = 2 WARM UP 0
2.6 The Distributive Property
What operation happens here?
Distributive Property A number outside parenthesis must be multiplied by everything inside Ex.
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.
Distributive Property Think of it like this… Ex. -10(x + 9) = ??? -10 (x + 9) Uh oh! Don’t lose the negative sign as you distribute the spotlighted number!! -10(x) + -10(9) -10x x - 90
Think of it like this… Ex. -5(x – 7) = ??? -5 (x – 7) Make sure you know where your negative signs are in this problem!!!!!
Think of it like this… Ex. 3(2 x +3y – 4) = ??? 3 (2x + 3y – 4)
Think of it like this… Ex. -5(2 x – y ) = ??? -5 (2x – y) Make sure you know where your negative signs are in this problem!!!!!
EXAMPLE 1 2(x + 5)
EXAMPLE 2 8(1 + 2x)
EXAMPLE 3 5(x + 3)
EXAMPLE 4 (2x + 6)3
EXAMPLE 5 2(x – 5)