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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 ac=bd

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.
