# Equations

Solving Equations Using Addition and Subtraction

**Background Knowledge**

**Addition Property of Equality:** If you add a value to one side, you must add the same value to the other side to keep the equation balanced.

If a = b, then a + c = b + c

**Subtraction**** Property of Equality:** If you subtract a value from one side, you must subtract the same value from the other side to keep the equation balanced.

If a = b, then a - c = b - c

**Isolate**: Remain alone or apart from others.

Solving Equations Using Multiplication or Division

**Background Knowledge**

**Multiplication**** Property of Equality:** If you multiply one side by a number, you must multiply the other side by the same number to keep the equation balanced.

If a = b, then ac = bc

**Division**** Property of Equality:** If you divide one side by a number, you must divide the other side by the same number to keep the equation balanced.

If a = b, then a/c = b/c

Mixed Review of One-Step Equations

Solving 2-Step Equations