To Start: 20 Points!! Name the Property.

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Presentation transcript:

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

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

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

The Distributive Property Lets say we want to multiply 12(14)!!!! We can break 14 into 10 + 4! That gives us 12(10+4) Thus 120 + 48 168!!!!!

The Distributive Property – You Try!! Lets say we want to multiply 11(23)!!!! We can break 23 into 20 + 3! That gives us 11(20+3) Thus 220 + 33 253!!!!!

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

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

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

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

Homework!!!! Page 72: 1-6, 9-23, 33-43