1. Standards: Objectives: Agenda 1.) Lesson 1 – Solving 2 Equations with
AF 1.1: Write and solve linear equations in one variable.
Objectives:
(1)Students will use inverse operations to solve two-step equations.
Agenda
1.) Lesson 1 – Solving 2 Equations with
2.) Assignment - Worksheet

2. Inverse Operations What is the opposite/inverse of multiplication?
What is the opposite/inverse of addition?
What is the opposite/inverse of subtraction?
What is the opposite/inverse of division?
Division
Subtraction
Addition
Multiplication

3. Inverse Operations 5 + 12 = 17 -12 = -12 5 = 5
These are operations that undo each other.
For Example:
I get back to 5 by subtracting what I added.
= 17
-12 = -12
5 = 5

4. Multiple Step Equations #1
3 types:
Type 1: x + 10 = 1
Type 2:
Type 3:

5. Type 1: -3x + 10 = 1 - 10 -10 -3x + 0 = -9 -3 -3 x = 3
You need to get x all by itself!
-3x + 10 = 1
Get rid of the adding or subtracting FIRST!
- 10
-10
Do the Opposite!
-3x
+ 0 = -9
Now get rid of the multiplication or division! -3 -3
Do the Opposite! x = 3

6. You try: -2x + 12 = 2 - 12 -12 -2x + 0 = -10 -2 -2 x = 5
Get rid of the adding or subtracting FIRST!
- 12
-12
Do the Opposite!
-2x
+ 0 =
-10
Now get rid of the multiplication or division! -2 -2
Do the Opposite! x = 5

7. Type 2:
You need to get y all by itself! y 2
- 4 = 12
Get rid of the adding or subtracting FIRST! +4 +4
Do the Opposite! y 2
Now get rid of the multiplication or division! 2● +0 = 16 ●2
Do the Opposite! y = 32

8. You Try: y 3
- 5 = 4
Get rid of the adding or subtracting FIRST! +5 +5
Do the Opposite! y 3
Now get rid of the multiplication or division! 3● +0 = 9 ●3
Do the Opposite! y = 27

9. Type 3: 2 5 - - x = -4 2 5 -5● x = -4 ●-5 - 2x = 20 2 2 x = 10
Bring the negative up or down 2 5 - - x
= -4 2 5
Now get rid of the division!
-5● x
= -4
●-5
Do the Opposite! - 2x = 20
Now get rid of the multiplication! 2 2
Do the Opposite! x = 10

10. You Try: 3 7 - - x = -3 3 7 -7● x = -3 ●-7 - 3x = 21 3 3 x = 7
Bring the negative up or down 3 7 - - x
= -3 3 7
Now get rid of the division!
-7● x
= -3
●-7
Do the Opposite! - 3x = 21
Now get rid of the multiplication! 3 3
Do the Opposite! x = 7