Variable

Definition

A variable is a symbol used to represent an unknown or arbitrary number in mathematical expressions and equations. It allows for generalization and manipulation of algebraic formulas.

5 Must Know Facts For Your Next Test

1. Variables are often denoted by letters such as $x$, $y$, or $z$.
2. In an equation, variables can represent any value that satisfies the equation.
3. Variables can be dependent or independent; independent variables are inputs, while dependent variables are outputs.
4. Substituting different values for a variable can help solve algebraic expressions and equations.
5. Understanding the role of variables is crucial for solving linear equations, inequalities, and functions.

Review Questions

• What is a variable and why is it important in algebra?
• How do you distinguish between dependent and independent variables?
• Give an example of how substituting a value for a variable helps solve an equation.

Related terms

Constant: A fixed value that does not change.

Coefficient: A numerical factor multiplied by a variable in an algebraic expression.

$Equation$: $A$ mathematical statement that asserts the equality of two expressions, typically containing one or more variables.