Algebra

Equation

A mathematical statement with an equals sign — true for some specific value(s) of the unknown.

Definition

Equations are solved to find the value(s) of the unknown that make the statement true. Linear equations have one solution; quadratics have up to two; cubics up to three.

Example

x + 5 = 12 is an equation. It is true when x = 7 and false otherwise.

Used in these topics

Solving linear equations →

Related terms

Expression

A combination of numbers, letters and operations with no equals sign, e.g. 3x + 5.

Identity

A statement that is true for every value of the variable. Uses the ≡ symbol.

Inequality

A statement using <, >, ≤ or ≥ instead of =, expressing a range of valid values.

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