Equations and Inequalities: One–Step Equations

The values of two expressions on both sides of an equation are equal.

Example:  . In this equation, is equal to .

-  Solving an equation means finding the value of the variable.
-  You only need to perform one Math operation to solve the one-step equations.
-  To solve a one-step equation, find the inverse (opposite) operation is being performed.

-  The inverse operations are:
Addition and subtraction
Multiplication and division

Examples:
Example 1.  Solve this equation for .
Solution: Here, the operation is multiplication (variable is multiplied by ) and its inverse operation is division. To solve this equation, divide both sides of equation by :

Example 2.  Solve this equation. 
Solution: In this equation, 8 is added to the variable . The inverse operation of addition is subtraction. To solve this equation, subtract from both sides of the equation: . Then:

Example 3.  Solve this equation for . 
Solution: Here, the operation is subtraction and its inverse operation is addition. To solve this equation, add to both sides of the equation: