Equation and inequalities.

Equation

A problem that contains an equal sign.

Inequality

A problem that contains the signs {,,

Inverse operations

Operations that undo each other; -/+ and X/.

Identity

Any equation that is true for any and every value of the variable ex) 3x=3x

Grouping symbols

The math inside any and all grouping symbols, including ( ), { }, [ ], | |, !, and square root.

Exponents

The process of working out any exponents that can be solved.

Term

A number by itself, a variable by itself, or the multiplication of a number and variables (e.g., 4, x, 3xy, 2(3xy)).

Multiply and divide

Operations performed in order from left to right.

Add and subtract

Operations performed in order from left to right.

Constant

A term with no variables (e.g., 0.4, 8.93, 5).

Like terms

Terms with the same variables raised to the same exponent.

Expression

A problem with no equal or inequality sign.

Coefficient

The numerical factor of the variable; a variable by itself has a coefficient of one (e.g., 1x=x).

Literal equation

An equation that uses more than one variable and asks you to solve for one of them.

Compound inequality

Two inequalities joined with the word ”and” or the word “or.”