| Term | Definition |
|
Reflexative Property of Equality |
(x + y) - 3 = (x + y) - 3 |
|
Symetric Property of Equality |
If x + 3 = 5 then 5 = x + 3 |
|
Transative Property of Equality |
If x+y=7 and 7=b then x + y = b |
|
Addition Property of Equality |
If x+y = 2x then x + y + 7 = 2x + 7 |
|
Multiplication Property of Equality |
If x + y = 3 then 5 (x + y) = 5 x 3 |
|
Commutative Property of Addition |
5 + 3 = 3 + 5 |
|
Commutative Property of Multiplication |
5 x 3 = 3 x 5 |
|
Associative Property of Addition |
(x + 5) + 3 = x + (5 + 3) |
|
Associative Property of Multiplication |
(2 x 3) x 5 = 3 x ( 5 x 2) |
|
Identity Property of Addition |
5 + 0 = 5 |
|
Identity Property of Multiplication |
5 x 1 = 5 |
|
Definition of Subtraction |
a - b = a + (-b) |
|
Definition of Dividion |
a / b = a x 1/b |
|
Property of Opposites |
5 + (-5) = 0 |
|
Property of Reciprocals |
5 x 1/5 = 1 |
|
Multiplicative Property of Zero |
5 x 0 = 0 |
|
Multiplicative Property of Negative One |
5 (-1) = -5 |
|
Distributive Property |
5 ( x + y) = 5x + 5y |