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Solving Equations Study Guide
Multiplication and Division
When solving one step equations always use inverse operations.
Remember you must always keep the equation balanced.
The inverse of multiplication is division and
The inverse of division is multiplication and
When multiplying by a fraction, multiply both sides by its
reciprocal
See the examples below:
Since the inverse of
multiplication is
division, divide both
sides by 3
3n = 27
3
3
n =9
n
8
=6
(8) n = 6 (8)
8
n = 48
Since the inverse of
division is multiplication,
multiply both sides by 8
After you have solved for the variable, check your answer
using substitution. Follow the simple steps for checking:
Step 1 - Rewrite the problem
Step 2 – Plug in your answer
Step 3 – Work it out
3n = 27
n =6
3 • 9 = 27
27 = 27
8
48 = 6
8
6=6
If the equation does not work, try again!
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Solving one-step equations - multiplication or division