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arithmetic operations

addition, subtraction, multiplication, division

expression

collections of numbers, operation signs, and indusion symbols

evaluating

finding the number for which the expressions stands

variable

a letter representing a number

terms

numbers that are added or subtracted from each other.

additive inverses

two numbers that their sum is zero

multiplicative inverses

two numbers that product equals 1

division

multiplying by its reciprocal

commute

an expression meaning to interchange their positions

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

property

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

axiom

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

distributive axiom

x(y+z)=xy+xz

like terms

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

numerical coefficient

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

common factor

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