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22 Cards in this Set
- Front
- Back
Assosciative Property of Addition
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(a+b)+c= a+(b+c)
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Addition Property of Equality
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if a=b and c=d, then a+c=b+d
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Zero Product Property
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If ab=0 then a=0 or b=0
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Quotient Property
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a(1/b)=a/b
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Associative Property of Multiplication
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(ab)c=a(bc)
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Communitative Property of Multiplication
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ab=ba
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Additive Indentity Property
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a+0=0+a
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Distributive Property of Multiplication over addiction
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a(b+c)=ab+bc
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Division Property of Equality
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If a=b and c=d then a/c=b/d and a/b=c/d
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Multiplication Property of Equality
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If a=b and c=d then ac=bd
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Multiplication Property of Zero
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a(0)=0
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Reflexive Property of Equality
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a=a
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Communitive Property of Addition
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a+b=b+a
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Transitive Property of Equality
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If a=b and b=c, then a=c
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Slope
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Rise over run.
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Multiplicative Inverse Property
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For ever a, there exists a number 1/a
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Subtraction Property of Equality
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If a=b and c=d then a-c=b-d
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Substitution Property
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if a=b, then neither can be substituted for the other
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Symmetric Prperty of Equality
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if a=b then b=a
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To solve solutions by Substitution
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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. |
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Multiplicative Identity Property
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1(a)=a(1)=a
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Solving Systems by Graphing
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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.
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