1.2 Solving Multi-Step Equations

Solving Two Step Equations

1. Use the Addition and Subtraction Property of Equality

2. Then use the Multiplication or Division Property of Equality

Example 1: Solve3x + 4 = 13

- 4 - 4

3x = 9

x = 3

3 3

Combining Like Terms to Solve an Equation

1. Combine Like Terms2. Add or Sub Prop. of =3. Mult. or Division Prop. of =

Ex 3: 6x + 2x = 16

If there are like terms on one side of the equation, collect them before using the properties

8x = 16

x = 2

Using Distributive Property to Solve an Equation

1. Use Distributive Property2. Combine Like Terms3. Add or Sub Prop. of =4. Mult. or Division Prop. of =

Ex 5: 2(2y + 3) = 14When there are parenthesis, you will normally

apply the distributive property first.

4y + 6 = 146 64y = 8

4 4 y = 2

1)

Example 6:

2) Distribute 3) Collect like terms on

the same side of equation.

4) Add the opposite of any number being added to “x”

5) Divide both sides by the coefficient of “x”.

3(2x - 1) - 5(x + 4) = 61

6x - 3 - 5x - 20 = 61

1x -23 = 61

1x = 84

1 1

x = 84

+23 +23

Homework

• TB: Page 14-15 (2-17, 24) all