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

2. 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

3. 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

4. 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

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

6. 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.

7. 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

8. 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

9. 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

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

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

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

13. 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

14. 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