Section 3.4

Solving Equations with Distribution on Both Sides

Ms. Mayer

Goal: Solve equations that use the

distributive property on both sides.

BasicsDistribute 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 = ?”

Practice Distribution 4 (1- x )

-2(x + 1)

SHOW YOUR WORK

Answers

4 (1- x )

4 + -4x

-2(x + 1)

-2x + -2

4 (1- x ) + 3x = -2(x + 1)

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]

Practice Distribution

-3 ( 4x + 1)

4 ( 2x – 6)

Answers-3 ( 4x + 1)

-12 x + -3

4 ( 2x – 6)

4(2x + -6)

8x + -24

-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

Practice

p + 2p -3 = 6 + 4p

-2y = 3y – 18 -5y

3 + 4(x + 5) = 31 – 10x

Show All work

USE YOUR NOTES

Homework

WorksheetShow all WORKDue on Friday, October

11!!!Extra 5 points if you turn

in completed on Thursday, October, 10.