Linear Equations

Solving linear equations in one variable.

Grade Middle School · Grade 8

Lessons and practice are free. Test is Premium and evaluates your knowledge at the end.

Use inverse operations to isolate the unknown while keeping both sides of the equation equal.

What an equation means

An equation states that two expressions have the same value. A solution is a value of the unknown that makes the statement true.

Example

Example: x + 5 = 12

Subtract 5 from both sides. Apply the same operation to both sides of the equation.

\begin{aligned}x + 5 &= 12 \\ x + 5 - 5 &= 12 - 5 \\ x &= 7\end{aligned}

Do the same thing to both sides

When you change one side of an equation, apply the same operation to the other side so the equality stays true.