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Solving Multiplication and
Division Equations
Lesson 3.2
Procedure
• Check to see if either side of the equal sign
can be simplified
• Isolate the variable by performing the
inverse operation
• The inverse of multiplication is division. The
inverse of division is multiplication.
• Use the “Golden Rule.” Perform the same
operation on the other side of the equal
sign.
ORIGINAL EQUATION
STEPS
1. Can either side of the equal sign can be simplified?
2. Isolate the variable by performing the inverse operation
3. Use the “Golden Rule.” Perform the same operation on the
other side of the equal sign.
Example
The inverse of
division is
multiplication.
Repeat the
operation on the
other side.
m
=
STEPS
1. Can either side of the equal sign can be simplified?
2. Isolate the variable by performing the inverse operation
3. Use the “Golden Rule.” Perform the same operation on the
other side of the equal sign.
Check. Use the original
equation.
m ÷ 3 = -30
-90 ÷ 3 = -30
-30 = -30
ORIGINAL EQUATION
7b = -105
Example 2
The inverse of
multiplying is
dividing.
7b = -105
÷
7
÷
7
15
7 105
b
=
-15
7
35
35
0
Check
7b = -105
7(-15) = -105
-105 = -105
Original equation
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