Section 3.3

Solving Equations with Distribution

Mr. Beltz &Mr. Sparks

Goal: Solve linear equations using

Distribution

Distribute to BOTH terms in the ( )

Remember the rules for multiplying

Distributive Property

What does this mean?! To distribute means to give

something to each member of a group.

Algebra example:

a(b+c)= ab + ac

Distribution Practice

2(x + 3)=

-2(3 + x)=

-2(x + 7)=

Answers

2(x + 3)= 2x + 6

-2(3 + x)= -6 + -2x

-2(x + 7)= -2x + -14

***Change Subtraction to Addition, take the Opposite of the next number.***

1stDraw a line underneath the equal sign.

2nd Circle the variable (remember the sign to the left stays with the variable)

3rd Simplify one or both sides.

4th Do the Inverse Operation

1st Addition & Subtraction

2nd Multiplication & Division

8x -2(x + 7)=16

8x + -2(x + 7)=16

8x+ -2x + -14 = 16

6x + -14 = 16

+14 +14

6x = 30

6 6

x = 5

***Change Subtraction to Addition, take the Opposite of the next number.*** **DISTRIBUTE**1stDraw a line underneath the equal sign.2nd Circle the variable (remember the sign to the left stays with the variable) 3rd Simplify one or both sides.4th Do the Inverse Operation

1st Addition & Subtraction

2nd Multiplication & Division

5x + 3(x + 4) = 28

5x + 3x + 12 = 28

8x + 12 28 -12 -12 8x =16 8 8

x = 2

***Change Subtraction to Addition, take the Opposite of the next number.*** **DISTRIBUTE**1stDraw a line underneath the equal sign.2nd Circle the variable (remember the sign to the left stays with the variable) 3rd Simplify one or both sides.4th Do the Inverse Operation

1st Addition & Subtraction

2nd Multiplication & Division