1. Section 3.4 Solving Equations with Distribution on Both Sides Ms. Mayer

2. Goal:  Solve equations that use the distributive property on both sides.

3. Basics Distribute on Both Sides First! Simply the expression (combine like terms) Goal: Move the variable to the positive side Solve the Equation using Inverse Relationships Remember: You always want to solve for the Variable, “X = ?”

4. Practice Distribution 4 (1- x ) -2(x + 1) SHOW YOUR WORK

5. Answers 4 (1- x ) 4 + -4x -2(x + 1) -2x + -2

6. 4 (1- x ) + 3x = -2(x + 1) 4 + -4x + 3x = -2x - 2 4 + -1x = -2x + -2 +2x + 2x 4 + 1x = -2 -4 -4 x = -6 Change Sub --> + Distribute on BOTH sides Simply the Equation Do the Inverse Relationship to get the Variables on the LEFT SIDE Do the Inverse of Addition [subtraction]

7. Practice Distribution -3 ( 4x + 1) 4 ( 2x – 6)

8. Answers -3 ( 4x + 1) -12 x + -3 4 ( 2x – 6) 4(2x + -6) 8x + -24

9. -3(4x + 1) + 6x =4(2x -6) -3(4x + 1) + 6x =4(2x + -6) -12x + -3 + 6x = 8x + -24 -6x + -3 = 8x + -24 - 8x = -8x -14x + -3 = -24 +3 = + 3 -14x = -21 -14 -14 x = 3 /2 Change Sub --> + Distribute on BOTH sides Simply the Equation Do the Inverse Relationship to get the Variables on the LEFT SIDE Do the Inverse of Subtraction [Addition] Inverse of Mult. = Div

10. Practice  p + 2p -3 = 6 + 4p  -2y = 3y – 18 -5y  3 + 4(x + 5) = 31 – 10x  Show All work  USE YOUR NOTES

11. Homework  Worksheet  Show all WORK  Due on Friday, October 11!!!  Extra 5 points if you turn in completed on Thursday, October, 10.