| A | B |
|---|
| Assosciative Property of Addition | (a+b)+c= a+(b+c) |
| Addition Property of Equality | if a=b and c=d, then a+c=b+d |
| Zero Product Property | If ab=0 then a=0 or b=0 |
| Quotient Property | a(1/b)=a/b |
| Associative Property of Multiplication | (ab)c=a(bc) |
| Communitative Property of Multiplication | ab=ba |
| Additive Indentity Property | a+0=0+a |
| Distributive Property of Multiplication over addiction | a(b+c)=ab+bc |
| Division Property of Equality | If a=b and c=d then a/c=b/d and a/b=c/d |
| Multiplication Property of Equality | If a=b and c=d then ac=bd |
| Multiplication Property of Zero | a(0)=0 |
| Reflexive Property of Equality | a=a |
| Communitive Property of Additio | a+b=b+a |
| Transitive Property of Equality | If a=b and b=c, then a=c |
| Slope | Rise over run |
| Multiplicative Inverse Property | For ever a, there exists a number 1/a |
| Subtraction Property of Equality | If a=b and c=d then a-c=b-d |
| Substitution Property | if a=b, then neither can be substituted for the other |
| Symmetric Prperty of Equality | if a=b then b=a |
| To solve solutions by Substitution | isolate x or y into the other equation, substitute the result of step 1. Solve for one coordinate of teh solution. Into the orginal equation, replace the appropriert letter by the coordinate in step 2 and solve for the second coordinate. |
| Multiplicative Identity Property | 1(a)=a(1)=a |
| Solving Systems by Graphing | The solutions to a system of equations can be found by graphing each equation on the same x, y axes. Any point which is common to both lines is a solution to the system. |
