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

)

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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2

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

  8 7 1.

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b = -56 b = -14 b = 14 b = 56

Answer Now