Transcript Solve Equations with Multiplication and Division
Objective
The student will be able to: solve equations using multiplication and division.
SOL: A.1, A.3
Designed by Skip Tyler, Varina High School
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 Draw “the river” to separate the equation t = -12 into 2 sides Divide both sides by -5 Simplify Check your answer -5( -12 ) = 60
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2) Solve 15 = 6n 6 6 Draw “the river” Divide both sides by 6 2.5 = n Simplify Check your answer 15 = 6( 2.5
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1. v = -126 2. v = -43 3. v = 43 4. v = 126 3) Solve -3v = -129
Answer Now
4) Solve
x
4 12 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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4) Solve
x
4 Draw “the river” Clear the fraction – multiply both sides by 4 Simplify Check your answer
x
4 · 4 12 12 x = -48 · 4 48 1 2 4
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x
5) Solve = 18 2
x
Draw “the river” 3 · 3 = 18 · 3 Clear the fraction – multiply both sides by 3 2x = 54 Simplify 2 2 Divide both sides by 2 Simplify Check your answer x = 27 2( 27 ) 18 3
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6) Which step clears the fraction in Multiply by 3 Multiply by 5 Multiply by -12 Multiply by -5 3
b
12 5
Answer Now
7) Solve 4
b
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b = -56 b = -14 b = 14 b = 56
Answer Now