complex fractionA quotient of two fractions.
complex rational expressionA quotient of two rational expressions.
constant of variation

Represented by the variable k in variation problems, the constant of variation is a number that relates the input and the output.

direct variation

A type of variation where the output varies directly with the input. Direct variation is represented by the formula y = kx.

domainThe set of all possible input values for the variable in a function.
excluded valueA value for the variable that is not included in the domain because it would cause the function to be undefined.
extraneous solutionA solution of the simplified form of an equation that does not satisfy the original equation and must be discarded.
greatest common factorThe largest number (or expression) that is a factor of a set of two or more numbers (or expressions).
inverse variation

A type of variation where the output varies inversely with the input. Inverse variation is represented by the formula .

joint variation

A type of variation where the output varies jointly with multiple inputs. Joint variation is represented by the formula y = kxz.

least common denominatorThe smallest number (or expression) that is a multiple of all the denominators in a group of fractions (or rational expressions).
least common multipleThe smallest number (or expression) that is a multiple of a set of two or more numbers (or expressions).
prime factorization

The process of breaking down a number (or expression) into its prime multiplicative factors. For example, the prime factorization of 12xy is 2 • 2 • 3 • xy.

rational equationAn equation that contains one or more rational expressions.
rational expressionA fraction that contains a polynomial as the numerator, denominator, or both.
rational formulaA formula expressed as a rational equation.