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23 Cards in this Set
- Front
- Back
Distributive Axiom of Multiplication over Addition
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for a, b, and c elements of the real numbers
a(b+c)=ab+ac |
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definition of subtraction
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for a and b elements of the real numbers
a-b=a+(-b) |
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defintion of division
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for a and b elements of the real numbers, a÷b=a(1/b)
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additive inverse axiom
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for every a element of the real numbers, there exists-a, such that a+(-a)=0
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multiplication inverse axiom
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for every a element of the real numbers, there exists 1/a such that a(1/a)=1
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additive identity element
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for every a element of the real numbers a+0=a
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multiplicative identity element
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for every a element of the real numbers a(1)=a
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axiom
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a statement assumed without the burden of proof
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property
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a statement that can be proved using axiom
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like terms
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terms in an expression that have the same variable raised to the same power
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numerical coefficent
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a number multiplied by a variable
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common factor
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in an expression c is a common factor if c is a factor of each term in the expression
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commutative property of addition
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for all elements of the real numbers, x+y=y+a
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associative property of addition
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for all x, y and z elements of the real numbers (x+y)+z=x+y+z
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commutative property of multiplication
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for all x and y elements of the real numbers, xy=yx
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arithmetic operation
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addition, subtraction, multiplication and division
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variable
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a letter or symbol used to represent a number
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expression
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a collection of numbers, operation signs and symbols of inclusion that represents a number
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terms
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numbers that are added or subtracted
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factors
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numbers that are multiplied
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equation
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a mathematical sentence stating that two or more expressions are equal
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solution
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a number that can substitute for a variable that makes an equation true
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PEMDAS
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acronym for remembering the order of operations
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