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Variable (mathematics) in mathematics, a variable (from latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object More formally, a mathematical symbol is any grapheme used in mathematical formulas and expressions [1][2][3] one says colloquially that the variable represents or denotes the object, and that any valid candidate for the object is the value of the variable.

It is possible to have multiple independent variables or multiple dependent variables A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula or a mathematical expression For instance, in multivariable calculus, one often encounters functions of the form z = f(x,y), where z is a dependent variable and x and y are independent variables

Free variables and bound variables in mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a variable may be said to be either free or bound

Some older books use the terms real variable and apparent variable for free variable and bound variable, respectively. In mathematical analysis and its applications, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables This concept extends the idea of a function of a real variable to several variables The input variables take real values, while the output, also called the value of the function, may be real.

In mathematics and statistics, a quantitative variable may be continuous or discrete If it can take on two real values and all the values between them, the variable is continuous in that interval In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number of terms [1][2][3][4][5] an example of a polynomial of a single indeterminate is

Elementary mathematics variables and evaluation in elementary algebra, a variable in an expression is a letter that represents a number whose value may change

To evaluate an expression with a variable means to find the value of the expression when the variable is assigned a given number.

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