Agenda

1
Standards 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 6 Isolating the Variable 2.)
Assignment - Worksheet
2
Multiple Step Equations 6
3 types
Type 1 -5 a 2d
Type 2 -3x z x 7
Type 3
3
Inverse Operations
Review

• 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
4
Inverse Operations
Review
These are operations that undo each other.
For Example
I get back to 5 by subtracting what I added.
5 12 17
-12 -12
5 5
5
Type 1
You need to get d all by itself!
-5 a 2d
Get rid of the adding or subtracting FIRST!
-a
- a

• Do the Opposite!

-5 - a
-2d

Now get rid of the multiplication or division!
-2
-2

• Do the Opposite!

d

6
You Try
You need to get y all by itself!
4 x 7y
Get rid of the adding or subtracting FIRST!
-x
- x

• Do the Opposite!

4 - x
-7y

Now get rid of the multiplication or division!
-7
-7

• Do the Opposite!

y

7
Type 2
Solve for x.
-3x z x 7
Collect Like Terms!
-x
- x

• Do the Opposite!

- z
-4x
7

z
z
Now isolate the variable x!
-4x
z 7

• Do the Opposite!

-4
-4

x
8
You Try
Solve for a.
-2a b a - 9
Collect Like Terms!
-a
- a

• Do the Opposite!

- b
-3a
- 9

b
b
Now isolate the variable x!
-3a
b - 9

• Do the Opposite!

-3
-3

a
9
Type 3
Solve for x.
Get rid of the fraction!

• Do the Opposite!

Now isolate the variable x!

• Do the Opposite!

10
You Try
Solve for a.
Get rid of the fraction!

• Do the Opposite!

Now isolate the variable x!

• Do the Opposite!