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23 Cards in this Set

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