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Section 3.3 Solving Equations with Distribution - PowerPoint PPT Presentation


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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?!

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Presentation Transcript
slide2
Goal:
  • Solve linear equations using Distribution
  • Distribute to BOTH terms in the ( )
  • Remember the rules for multiplying
distributive property
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
Distribution Practice

2(x + 3)=

-2(3 + x)=

-2(x + 7)=

answers
Answers

2(x + 3)= 2x + 6

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

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

slide6
***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

slide7

***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

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

slide8

***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