2. WARM UP 1.X + 4 = 6 2.X – 4 = 6 3.X + 4 = -6 4.X – 4 = -6 4

3. WARM UP 1.X + 4 = 6 2.X – 4 = 6 3.X + 4 = -6 4.X – 4 = -6 3

4. WARM UP 1.X + 4 = 6 2.X – 4 = 6 3.X + 4 = -6 4.X – 4 = -6 2

5. WARM UP 1.X + 4 = 6 2.X – 4 = 6 3.X + 4 = -6 4.X – 4 = -6 1

6. WARM UP 1.X + 4 = 6 2.X – 4 = 6 3.X + 4 = -6 4.X – 4 = -6 0

7. 3.2 Solving Equations Using Multiplication and Division TODAY’S SCHEDULE: 1.Bell Ringer 2.Powerpoint Lesson 3.Classroom Based Instructional Task 4.Exit Slip (Last five minutes)

8. 3.2 Solving Equations Using Multiplication and Division TODAY’S GOAL: Solve linear equations using multiplication and division. KEY WORDS: Inverse operation Inverse operation Transforming equations Transforming equations Reciprocal Reciprocal

9. 3.2 Solving Equations Using Multiplication and Division TRANSFORMING EQUATIONS: ORIGINAL EQUATION OPERATIONEQUIVALENT EQUATION = 3 = 3 4x = 12 Multiply each side of the equation by the same nonzero number Divide each side of the equation by the same nonzero number X = 6 X = 3

10. Inverse Operations

11. EXAMPLE 1: Divide Each Side of an Equation Solve -4x = 1 Solution The operation is multiplication. Use the inverse operation of division to isolate the variable x. -4x = 1 -4 -4 x = -1/4 3.2 Solving Equations Using Multiplication and Division Write original equation Divide each side by -4 to undo the multiplication Simplify

12. EXAMPLE 2: Multiply Each Side of an Equation Solve –x/5 = -30 Solution The operation is division. Use the inverse operation of multiplication to isolate the variable x. x/5 = -30 5(x/5) = 5(-30) x = -150 3.2 Solving Equations Using Multiplication and Division Write original equation Multiply each side by 5 to undo the division Simplify

13. 3.2 Solving Equations Using Multiplication and Division RECIPROCAL: To solve an equation with a fractional coefficient, such as 10 = 2/3x, multiply each side of the equation by the reciprocal of the fraction. This will isolate the variable because the product of a nonzero number and its reciprocal is 1.

14. EXAMPLE 3: Multiply Each Side by a reciprocal Solve 10 = 2/3x Solution The fractional coefficient is 2/3. The reciprocal of 2/3 is 3/2. 10 = 2/3x 3/2(10) = 3/2(2/3x) 15 = x 3.2 Solving Equations Using Multiplication and Division Write original equation Multiply each side by the reciprocal, 3/2. Simplify

15. 3.2 Solving Equations Using Multiplication and Division 60 = 5x

16. 3.2 Solving Equations Using Multiplication and Division x/3 = 11

17. 3.2 Solving Equations Using Multiplication and Division x/4 = -2

18. 3.2 Solving Equations Using Multiplication and Division -3x = -9

19. 3.2 Solving Equations Using Multiplication and Division x = 6

20. 3.2 Solving Equations Using Multiplication and Division - x = 12

21. 3.2 Solving Equations Using Multiplication and Division x = 24 x = 24

22. 3.2 Solving Equations Using Multiplication and Division x = -6 YOU ARE CERTIFIED!