22 terms

Variable

a letter, sometimes a symbol, that represents an unknown number or numbers

equation

a mathematical statement containing an equal sign

extraneous solution

derived from the original equation, but is not a solution of the original equation

literal equation

an equation, like a formula, that has more than one variable

coefficient

the numerical factor of a term containing a variable

identity

an equation that is true for all values of the variable

numerical expression

a phrase containing numbers and operations

additive inverse

the opposite of a number so that the sum of the number and its inverse is zero

opposite

contains the opposite sign such that the sum of a number and its opposite is zero

constant

a quantity that does not change

algebraic expression

a mathematical phrase containing one or more variables

compound inequality

two inequalities joined together with the word and or or

like terms

terms that have the same variables with the same powers

constant term

a term that does not contain any variables

term

a number, variable, or product of a number and variable(s)

evaluate

to simplify after substituting numerical values for variables

reciprocal

when the numerator and denominator switch such that the product of a number and its reciprocal is 1

inverse operations

operations that undo each other

solution set of an equation

the set that contains the value(s) that make an equation true

absolute value

the distance of a real number from zero on the number line

variable quantity

a quantity in which the values may vary

multiplicative inverse

the reciprocal of a nonzero number so that the product of the number and inverse is 1