1. Solving Multistep Equations
Objectives:
To solve equations by first collecting like terms
To solve equations using distributive property

2. STEPS TO SOLVING LINEAR EQUATIONS
DON’T CALL ME AFTER MIDNIGHT
Distribute
Combine like terms
Move the variables to one side
Add/subtract
Multiply/divide
DCMAM IS A ROAD MAP BUT NOT THE ONLY WAY TO SOLVE AN EQUAITON

3. Like Terms: Same variable to the same power.
Key Vocabulary
Like Terms: Same variable to the same power.
When combining like terms, add or subtract the coefficients and the variable stays the same

4. Which of the following could be the first step?
A) Subtract 4 from both sides
B) Subtract 6 from both sides
C) Add 4 to both sides
D) Combine like terms (-7x and 3x)

5. Example 1 Solve. -7x + 3x + 4 = 6 -4x + 4 = 6 -4 -4 -4x = 2 -4 -4
Combine like terms
-4x + 4 = 6
Subtract from both sides
-4x = 2
Divide on both sides -4 -4

6. How else can we solve example 1?
Subtract from both sides
Combine like terms
Divide on both sides

7. Key Vocabulary
Distributive Property: When a number or variable outside a ( ) is multiplied to each term inside the ( ).
Example:
Non-example:

8. Which of the following could be the first step?
8(3x + 2) = 40
A) Subtract 2 from both sides
B) Distribute the 8
C) Divide both sides by 8
D) Add the 3x and 2

9. Example 2 Solve. 8(3x + 2) = 40 24x + 16 = 40 -16 -16 24x = 24 24 24
distribute
24x + 16 = 40
Subtract from both sides
24x = 24
Divide on both sides 24 24

10. How else can we solve example 2?
Divide both sides
Subtract from both sides
Divide on both sides

11. Which of the following could be the first step?
A) Add the 2m and 1
B) Distribute the -2
C) Add 24 to both sides
D) Subtract 24 from both sides

12. Example 3 distribute Commutative property Combine like terms
Subtract from both sides
Divide on both sides

13. How else can we solve Example 3?
Subtract from both sides
distribute
Add to both sides
Divide on both sides

14. Placemat Activity
Solve each of the expression. Note the property that allows you to move from step to step (use abbreviations). When complete, find the product of all the answers.

15. Placemat Solutions

16. #9 page 148-149 Problems 25 – 43 Make sure you do #37 & 39 TWO ways
Homework
#9 page
Problems 25 – 43
Make sure you do #37 & 39 TWO ways

17. SUMMARY What are the steps to solving an equations?
Which steps from DCMAM can be done in a different order? Give a new set of letters for the alternate steps possible.