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Benchmark 21 AG1


Property ExampleProperty Name
6(7a + 3) = 42a + 18 Distributive Property
a + (-a) = 0 Additive Inverse
(x/y)(y/x) = 1 Multiplicative Inverse
c = c + 0 Additive Identity
4x + 3 = x(4) + 3 Commutative Prop. of Multiplication
a + (b + c) = (a + b) + c Associative Property of Addition
a + (b + c) = a + (c + b) Commutative Property of Addition
9(1)=9 Multiplicative Identity
7(0)=0 Zero Product Property
a + (4a + b) = (a + 4a) + b Commutative Property of Addition
7(3a) + 7(2) = 7(3a + 2) Distributive Property
-2/3 + 2/3 = 0 Additive Inverse
6(7b)=(6*7)b Associative Property of Multiplication
If 3x + y = 19, then 19 = 3x + y Symmetric
If x = 2 and 2x + 3y = 9, then 4 + 3y = 9 Substitution
If y = 3x, then 3x = y Symmetric
If 4^2+3y = 9, then 16 + 3y = 9 Substitution
If 3x = -9, then x = -3 Mult. Property of Equality
If 6 - x = -15, then -x = -21 Addition Property of Equality
2(4b) = 2(b*4) Commutative Property of Mult.
Created by: mathgal82