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# examples Sol 8.15

### SWBAT identify properties of operations used to solve an equation

ab=ba Commutative Property of Multiplication
3(x)=x(3) Commutative Property of Multiplication
x + −x = 0 Inverse Property of Addition
6(ab) = (6a)b Associative Property of Multiplication
1/y∙ y = 1 Inverse Property of Multiplication
2 + 5y = 5y + 2 Commutative Property of Addition
3(4 + 2) = 3(4) + 3(2) Distributive Property
1/5 ∙ 5 = 1 Inverse Property of Multiplication
p + 0 = p Identity Property of Addition
3x + 4 = 4 + 3x Commutative Property of Addition
c ∙ 1 = c Identity Property of Multiplication
(xy)z = x(yz) Associative Property of Multiplication
(3 + a)+ b = 3 +(a + b) Associative Property of Addition
a(b + c) = ab + ac Distributive Property
8 × 0 = 0 Multiplicative Property of Zero
4 + (x + y) = (4 + x) + y Associative Property of Addition
7 × 1 = 7 Identity Property of Multiplication
3 + 0 = 3 Identity Property of Addition
y(0) = 0 Multiplication Property of Zero
9 + −9 = 0 Inverse Property of Addition
Created by: pktaylor