1. Section 3.2 Solving Equations using Multiplication and Division.

2. Solving Equations Remember: to solve an equation, you must isolate the variable and it must have a coefficient of positive 1! To isolate the variable, get rid of everything around it by doing the OPPOSITE action

3. 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

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

5. 2) Solve 15 = 6n 6 6 2.5 = n 15 = 6(2.5) 1.Draw a vertical line 2.Divide both sides by 6 3.Simplify 4.Check your answer

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

7. 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.

8. 4) Solve 4 · · 4 x = -48 1.Draw a vertical line 2.Clear the fraction – multiply both sides by 4 3.Simplify 4.Check your answer

9. 3 · = 18 · 3 2x = 54 2 2 x = 27 1.Draw a vertical line 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

10. 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

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

12. 9/11/13 Homework: Workbook page 19