Section 3.3 Solving Equations with Distribution
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Transcript of Section 3.3 Solving Equations with Distribution
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