# Objective The student will be able to: solve equations using multiplication and division.

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Objective The student will be able to: solve 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

1) Solve -5t = 60 -5 -5 t = -12 -5(-12) = 60 1.Draw “the river” to separate the equation into 2 sides 2.Divide both sides by -5 3.Simplify 4.Check your answer

2) Solve 15 = 6n 6 6 2.5 = n 15 = 6(2.5) 1.Draw “the river” 2.Divide both sides by 6 3.Simplify 4.Check your answer

3) Solve -3v = -129 1.v = -126 2.v = -43 3.v = 43 4.v = 126 Answer Now

4) Solve You don’t like fractions? Let’s get rid of them! “Clear the fraction” by multiplying both sides of the equation by the denominator.

4) Solve 4 · · 4 x = -48 1.Draw “the river” 2.Clear the fraction – multiply both sides by 4 3.Simplify 4.Check your answer

3 · = 18 · 3 2x = 54 2 2 x = 27 1.Draw “the river” 2.Clear the fraction – multiply both sides by 3 3.Simplify 4.Divide both sides by 2 5.Simplify 6.Check your answer 5) Solve = 18

6) Which step clears the fraction in 1.Multiply by 3 2.Multiply by 5 3.Multiply by -12 4.Multiply by -5 Answer Now

7) Solve 1.b = -56 2.b = -14 3.b = 14 4.b = 56 Answer Now

Try these on your paper. 4X = -16 -1X = 9 6 = 5X 12X = 3

Try these on your paper. –X/3 = 9 –-X/4 = 7 –1/3X = -1 –4 = X/4

7. 9x = 45 This reads 9 times x So use the opposite. Divide both sides by 9. 9 9 x= 5 8. - 4m = - 28 - 4 m = 7

This is a division Problem, use Multiplication to solve it. 9. - k (8) = 48 Now Divide By -1 - 1 k =- 48 10. (-5) = x 55

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