1. To Start: 20 Points!! Name the Property.
5 * 8 = 8 * 5 a * 1 = a 11 + a = a (xy) = (6x)y
Commutative Property of Mult Identity Property of Mult Commutative Property of Add Assoc Property of Mult

2. Chapter 2: Solving one-step equations and inequalities
Section 2-2: The Distributive Property

3. The Distributive Property
The Distributive Property combines multiplication with addition or subtraction.
Arithmetic
3(2+6)=3(2)+3(6)
(2+6)3=2(3)+6(3)
6(7-4)=6(7)-6(4)
(7-4)6=7(6)=4(6)
Algebra
a(b+c)=ab+ac
(b+c)a=ba+ca
a(b-c)=ab-ac
(b-c)a=ba-ca

4. The Distributive Property
Lets say we want to multiply 12(14)!!!! We can break 14 into ! That gives us 12(10+4) Thus !!!!!

5. The Distributive Property – You Try!!
Lets say we want to multiply 11(23)!!!! We can break 23 into ! That gives us 11(20+3) Thus !!!!!

6. Practice!! Simplify 7(21) + 7(9) 7(21+9) 7(30) 210!!!

7. You Try!! Simplify 9(14) + 9(6) 9(14+6) 9(20) 180!!!

8. Practice!!
Simplify 2(x+4) 2x + 8!!!
Simplify 3(4x- 5) 12x - 15!!!

9. You Try!! Simplify 3(2x+6) 6x + 18!!!

10. Homework!!!!
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