1. Section 3.3 Solving Equations with Distribution Mr. Beltz & Mr. Sparks

2. Goal:  Solve linear equations using Distribution  Distribute to BOTH terms in the ( )  Remember the rules for multiplying

3. 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

4. Distribution Practice 2(x + 3)= -2(3 + x)= -2(x + 7)=

5. Answers 2(x + 3)= 2x + 6 -2(3 + x)= -6 + -2x -2(x + 7)= -2x + -14

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

7. 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

8. 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