Transcript MultDivEquations

Solving Equations
using
Multiplication
and
Division
1) Solve. -5t = 60
To get the variable by itself,
which number needs to be
moved?
-5
To move the -5, you have to do
the opposite operation. What
operation will we use?
division
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1) Solve -5t = 60
-5 -5
t = -12
Divide both sides by -5
Simplify
Check your answer
-5(-12) = 60
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2) Solve 15 = 6n
6
6
Divide both sides by 6
2.5 = n
Simplify
Check your answer
15 = 6(2.5)
3) Solve -3v = -129
1.
2.
3.
4.
v = -126
v = -43
v = 43
v = 126
Answer Now
x
 12
4) Solve
4
You don’t like fractions? Let’s get rid of
them! 
“Clear the fraction”
by multiplying both sides of the equation
by the denominator.
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•
•
x
4) Solve  12
4
x
Clear the fraction –
4 ·  12 · 4
multiply both sides by 4
4
Simplify
Check your answer
x = -48
48
 12
4
•
2x
5) Solve
= 18
3
2x
3·
= 18 · 3
3
Clear the fraction –
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multiply both sides by 3
Simplify
Divide both sides by 2
Simplify
Check your answer
2x = 54
2
2
x = 27
2(27)
 18
3
6) Which step clears the fraction in
3b
 12
5
1.
2.
3.
4.
Multiply by 3
Multiply by 5
Multiply by -12
Multiply by -5
Answer Now
7) Solve
1.
2.
3.
4.
b = -56
b = -14
b = 14
b = 56
Answer Now
4b
 8
7