Module: Solving Linear Equations
Lesson: Solving Equations with
Multiplication and Division
Name:
Date:
Period:
Student Notes:
Remember, to solve an equation means:
Ex:
______ is solved for ___.
______ is solved for ___.
Multiplication Property of Equality:
What it means:
An easy example:
Ways to remember:
Another example:
x
4
2
Check:
Negative fractions:
 x x x
Remember  

5 5 5
x
Solve:
3
5

Check:
 Division Property of Equality:
What it means:
Why do we add c ≠ 0?
What does your calculator say when you press “5 divided by 0?”
Two examples:
Check:
#1)
4x = 24
#2)
-6x = 18
A fraction times a variable: ex.
Two step method:
Step 1 Step 2 -
2x
4
3
One step method:
Step 1 -

2x
 4(3)
3
2x = 12
2
2
x=
3 2x
3
   4 
2  3
2 
x=
(3)

Try these on your own:
x
1.
3
7
2.
y
8
2
3.
-2z = -12
4.
4w = 16
5.
2x
12
3


 6.

3x
9
4

Check: