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Associative Property Keep the same order, just move the parenthesis. (a + b) + c = a + (b + c) (ab)c = a(bc)

Commutative Property When you add or multiply two numbers, you will get the same answer when you switch the order. a + b = b + a ab = ba

Identity Property The number you can add or multiply by and still get the same number. a + 0 = a a · 1 = a

Zero Product Property If you multiply two numbers and get zero, then one or both of the numbers MUST be zero. 7•0 = 0 (x + 4)(x + 3) = 0 then x + 4 = 0 or x + 3 = 0

Transitive Property If A = B and B = C, then A = C For example: For example: 7x + 4 = 8b – 8 8b – 8 = 56 – y Therefore, 7x + 4 = 56 -y For example: 6 + 2 = 4 + 4 4 + 4 = 5 + 3 Therefore, 6 + 2 = 5 + 3

Reflexive Property The reflexive property states equivalence. 7 = 7, 112 = 112

Distributive Property This property “distributes” a value to each number in the parenthesis. a(b + c) = ab + ac Everyone in this problem got an “a” If you are the mortgage company and folks don’t pay their mortgage, you take back this home, and that home, and the other home. ab + ac = a(b+c)

The Properties of Algebra Associative Property Commutative Property Identity Property Zero Product Property Transitive Property Reflexive Property Distributive Property