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### 22 Cards in this Set

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 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 Addition 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.