1. WARM UP 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. 3x = 15 5. (x)(2) = 24 6. X ÷ 6 = 2 4

2. WARM UP 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. 3x = 15 5. (x)(2) = 24 6. X ÷ 6 = 2 3

3. WARM UP 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. 3x = 15 5. (x)(2) = 24 6. X ÷ 6 = 2 2

4. WARM UP 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. 3x = 15 5. (x)(2) = 24 6. X ÷ 6 = 2 1

5. 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. 3x = 15 5. (x)(2) = 24 6. X ÷ 6 = 2 WARM UP 0

6. 2.6 The Distributive Property

7. What operation happens here?

8. Distributive Property A number outside parenthesis must be multiplied by everything inside Ex.

9. 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.

10. 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 + -90 -10x - 90

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

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

13. 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!!!!!

14. EXAMPLE 1 2(x + 5)

15. EXAMPLE 2 8(1 + 2x)

16. EXAMPLE 3 5(x + 3)

17. EXAMPLE 4 (2x + 6)3

18. EXAMPLE 5 2(x – 5)