Lesson 3.3 Solving Multi-step Equations

Mr. Beltz &

Mr. Sparks

GOAL:• Use two or more steps to solve a linear

equation.

• Key Words:– Like Terms

– Distributive Property

***Change Subtraction to Addition, take the Opposite of the next number.***

1stDraw a line underneath the equal sign.

2nd Circle the variable (remember the sign to the left stays with the variable)

3rd Simplify one or both sides.

4th Do the Inverse Operation

1st Addition & Subtraction

2nd Multiplication & Division

• - +

• Draw the line

• Circle the Variable

• Simplify

• Inverse Operation

3x + 7 = -8

+ -7 + -7

3x = -15

3x = -15

3 3

x = -5

Practice

Page 144 #1-3

*Show all work

P. 144 #16x – 15 = 9

6x + -15 = 9

+ 15 + 15

6x = 24

6x = 24

6 6

x = 4

- + Draw the lineCircle the VariableSimplifyInverse Operation

P. 144 # 27x – 4 = -11

7x + -4= -11

+4 +4

7x = -7

7x = -7

7 7

x = -1

- + Draw the lineCircle the VariableSimplifyInverse Operation

P. 144 #3

y = -2

Combining Like Terms First

7x – 3x – 8 = 24

7x + -3x + -8=24

(7x+ -3x)

4x + -8 = 24

4x + -8 = 24

+ 8 + 8

4x 32

4 4

x = 8

- + Draw the lineCircle the VariableSimplifyInverse Operation

Practice

• P. 147

# 7- 12