complex fraction | A quotient of two fractions. |
complex rational expression | A 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. |
domain | The set of all possible input values for the variable in a function. |
excluded value | A value for the variable that is not included in the domain because it would cause the function to be undefined. |
extraneous solution | A solution of the simplified form of an equation that does not satisfy the original equation and must be discarded. |
greatest common factor | The 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 denominator | The smallest number (or expression) that is a multiple of all the denominators in a group of fractions (or rational expressions). |
least common multiple | The 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 • x • y. |
rational equation | An equation that contains one or more rational expressions. |
rational expression | A fraction that contains a polynomial as the numerator, denominator, or both. |
rational formula | A formula expressed as a rational equation. |