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23 Cards in this Set
- Front
- Back
Multiplicative Inverses Axiom
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y times 1/y = 1
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Associative Axiom for Multiplication
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(xy)z = x(yz)
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Additive Identity Axiom
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x + 0 = x
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Additive Inverses Axiom
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x+(-x)=0
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Commutative Axiom for Addition
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x+y=y+x
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Common Factor
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c is a _______ of each term in that expression
ex: 2x and 4x x is common factor in 2x and 2y 2 is common factor |
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Distributive Axiom for Multiplication over Addition
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x(y+z)=xy+xz
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Numerical Coefficient
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the constant of a term that is multiplied by a variable
ex. the 5 in 5xy |
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Transitive Axiom of equality
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if x=y and y=z then x=z
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Property
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a factor true concerning that system
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Symmetric Axiom of equality
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if x=y then y=x
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Multiplication over subtraction property
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x(y-z)=xy-xz
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Commutative Axiom for Multiplication
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xy=yx
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Mulitplicative Property of Equality
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if x=y then xz=yz
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Associative Axiom for Addition
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(x+y)+z=x+(y+z)
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Distributive Axiom
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x(y+z)=xy+xz
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Multiplicative Identity Axiom
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x times 1=x
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Like terms
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terms with the same variable raised to the same power
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Property of Zero
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0x=0
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Mulitplication Property of -1
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-1 times x = -x
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Reflexive Axiom of Equality
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x=x
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Additive Property of equality
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if x=y then x+z=y+z
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Axiom
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property forming the basis of a mathematical system assumed to be true without proof
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