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Benchmark 21 AG1
Properties
Property Example | Property 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. |