29 terms

opposite

or additive inverse, of any number b is -b.

reciprocal

or multiplicative inverse, of any nonzero number b is 1/b.

numerical expression

consists of numbers, operations, and grouping symbols.

power

an expression formed by repeated multiplication of the same factor.

exponent

represents the number of times the base is used as a factor.

base

In 7^3 what is the number 7

variable

is a letter that is used to represent one or more numbers.

algebraic expression

an expression involving variables.

term

In an expression that can be written as a sum, the parts added together are called

variable term

A term that has a variable part is called

constant term

a term that had no variable part is called

coefficient

When a term is a product of a number and a power of a variable, the number is called the ________ of the power

like terms

terms that have the same variable parts.

equivalent expressions

Two algebraic expressions are _______ if they have the same value for all values of their variable.

identity

A statement such as 8x + 3x = 11x that equates two equivalent expressions is called

equation

is a statement that two expressions are equal.

linear equation

is an equation that can be written in the form ax + b =0 where a and b are constants and a cannot = 0

solution of an equation

a number is a ________________ in one variable if substituting the number for the variables results in a true statement.

equivalent equations

Two equations are ________ if they have the same solutions.

formula

is an equation that relates two or more quantities, usually represented by variables.

solve for a variable

to ___________ means to rewrite an equation as an equivalent equation in which the variable is on one side by itself and does not appear on the other side.

verbal model

A word equation.

linear inequality

in one variable can be written in one of the following forms, where a and b are real numbers and a cannot = 0

ax+b<0 or ax +b>0

ax+b<0 or ax +b>0

solution of an inequality

a ______________ in one variable is a value that, when substituted for the variable, results in a true statement.

graph of an inequality

the _____________ in one variable consists of all points on a number line that represent solutions.

compound inequality

consists of two simple inequalities joined by "and" or "or"

equivalent inequalities

inequalities that have the same solutions as the original inequality.

absolute value

the distance the number is from 0 on a number line

extraneous solution

is an apparent solution that must be rejected because it does not satisfy the original equation.