Transcript Unit 2 Lesson 4 - Isolating the Variable

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
Multiple Step Equations #6
3 types:
Type 1:
-5 = a – 2d
Type 2:
-3x – z = x + 7
Type 3:
2
(x  2)  z
3
Inverse Operations
• What is the opposite/inverse of
multiplication?
Division
•What is the opposite/inverse of
addition?
Subtraction
•What is the opposite/inverse of
subtraction?
Addition
•What is the opposite/inverse of
division?
Multiplication
Inverse Operations
These are operations that undo
each other.
For Example:
5 + 12 = 17
-12 = -12
5=5
I get back to 5
by subtracting
what I added.
Type 1:
You need to get
-5 = a – 2d
- a -a
-5 - a = -2d
-2
-2
5a
= d
2
d all by itself!
Get rid of the adding or
subtracting FIRST!
• Do the Opposite!
Now get rid of the
multiplication or division!
• Do the Opposite!
You Try:
You need to get
4 = x – 7y
- x -x
4 - x = -7y
-7
-7
4x
7
= y
y all by itself!
Get rid of the adding or
subtracting FIRST!
• Do the Opposite!
Now get rid of the
multiplication or division!
• Do the Opposite!
Type 2:
-3x – z = x + 7
-x
-x
-4x - z = 7
+z +z
-4x z + 7
-4
-4
z7
x =
4
Solve for x.
Collect Like Terms!
• Do the Opposite!
Now isolate the variable x!
• Do the Opposite!
You Try:
-2a – b = a - 9
-a
-a
-3a - b = - 9
+ b +b
-3a b - 9
-3
-3
b9
a = 3
Solve for a.
Collect Like Terms!
• Do the Opposite!
Now isolate the variable x!
• Do the Opposite!
Type 3:
2
(x  2)  z
3
Solve for x.
Get rid of the fraction!
• Do the Opposite!
Now isolate the variable x!
• Do the Opposite!
You Try:
3
(a  5)  c
7
Solve for a.
Get rid of the fraction!
• Do the Opposite!
Now isolate the variable x!
• Do the Opposite!