Equation

Definition

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign ($=$).

5 Must Know Facts For Your Next Test

1. Equations can be linear, quadratic, polynomial, or involve trigonometric functions.
2. The solution to an equation is the value(s) of the variable(s) that make the equation true.
3. Solving equations often involves isolating the variable on one side of the equation.
4. In algebra, equations are used to represent relationships between quantities.
5. Systems of equations can be solved using substitution, elimination, or matrix methods.

Review Questions

• What is an equation and how is it structurally defined?
• Describe at least two methods for solving systems of equations.
• Explain how you would solve a linear equation with one variable.

Related terms

Variable: A symbol, usually a letter, representing a number in an equation or expression.

Expression: A combination of numbers, variables, and operations without an equality sign.

Linear Equation: An equation in which the highest power of the variable is one.