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arithmetic operations

addition, subtraction, multiplication, division

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expression

collections of numbers, operation signs, and indusion symbols

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evaluating

finding the number for which the expressions stands

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variable

a letter representing a number

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terms

numbers that are added or subtracted from each other.

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additive inverses

two numbers that their sum is zero

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multiplicative inverses

two numbers that product equals 1

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division

multiplying by its reciprocal

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commute

an expression meaning to interchange their positions

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associate

to associate two of the numbers in an expression means to group them with parenthesis so that the operation between them is done first

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property

the property of a mathematical symbol is a fact that is true concerning the system

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axiom

a property that forms the basis of a mathematical system. assumed without proof

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distributive axiom

x(y+z)=xy+xz

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like terms

two terms in an expressions are like terms if they have the same variables raised to the same power

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numerical coefficient

the numerical coefficient of a term is the constant that is multiplied by the variables

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common factor

in an expression c is a common factor if c is a factor of each term