Download 1.2 Solving Multi

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: Solve
3x + 4 = 13
-4
-4
3x = 9
3
3
x=3
Combining Like Terms to Solve an
Equation
1. Combine Like Terms
2. 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.
2.
3.
4.
Use Distributive Property
Combine Like Terms
Add or Sub Prop. of =
Mult. or Division Prop. of =
Ex 5: 2(2y + 3) = 14
When there are parenthesis, you will normally
apply the distributive property first.
4y + 6 = 14
6
6
4y = 8
4
4
y=2
1)
Example 6:
3(2x - 1) - 5(x + 4) = 61
1) Distribute
2) Collect like terms on
the same side of
equation.
3) Add the opposite of
any number being
added to “x”
4) Divide both sides by
the coefficient of
“x”.
6x - 3 - 5x - 20 = 61
1x -23 = 61
+23
+23
1x = 84
1
1
x = 84
Homework
• TB: Page 14-15 (2-17, 24) all