Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality.

Commutative Property Commutative means that the order does not make any difference. a + b = b + a a • b = b • a Examples 4 + 5 = 5 + 4 2 • 3 = 3 • 2 The commutative property does not work for subtraction or division.

Associative Property Associative means that the grouping does not make any difference. (a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 • 3) • 4 = 2 • (3 • 4) The associative property does not work for subtraction or division.

Name the property 1) 5a + (6 + 2a) = 5a + (2a + 6) commutative (switching order) 2) 5a + (2a + 6) = (5a + 2a) + 6 associative (switching groups) 3) 2(3 + a) = 6 + 2a distributive

Which property would justify rewriting the following expression without parentheses? 3(2x + 5y) Associative property of multiplication Distributive property Addition property of zero Commutative property of multiplication

Which property would justify the following statement? 8x + 4 = 4 + 8x Associative property of addition Distributive property Addition property of zero Commutative property of addition

Which property would justify the following statement Associative property of addition Distributive property Addition property of zero Commutative property of addition