1. Lesson 3.2 Solving Equations Having Like Terms and Parentheses
Essential Question: How do you solve multi-step equations?

2. Before we start…
You are hosting a birthday party. You buy a cake that costs $35 and decorations that cost $24. You want to have noisemakers and party hats to give to each guest. Each noisemaker costs $0.75 and each party hat costs $1.30. If you only have $100 to spend on the party, how many guests can be invited?

3. Solving Multi-Step Equations
Continue to use inverse operations to isolate the variable
Combining like terms and distributive property will be used

4. How do I solve a multi-step equation?
Use distributive property and/or combine like terms.
Use inverse operations to remove the constant term.
Use inverse operations to remove the coefficient.

5. Solve 3𝑥+8+𝑥=28

6. Solve 17+3𝑥−11=0

7. Solve 12𝑥−1−10𝑥=23

8. Solve 3 6−𝑥 =27

9. Solve −2 𝑥+7 =16

10. Solve −40=4 𝑥−10

11. Solve 5𝑥−2 𝑥−1 =8

12. Solve 13=2𝑦−3 𝑦+4

13. Solve 5+2 𝑥−2 =19

14. Solve 13𝑥− 𝑥+7 =29

15. Solve 10𝑎+5 2𝑎+1 =65

16. Solve 10𝑎+5 2𝑎+1 =65

17. School Spirit Your school’s basketball team is playing in the championship game. For the game, the cheerleaders want to buy a banner that costs $47. They also want to buy small items to give to students in the stands. Pompoms cost $5.20 each. Noisemakers cost $0.80 each. The cheerleaders have a total budget of $375 for the game. If they buy equal numbers of pompoms and noisemakers, how many can they afford to buy?

18. Reading Competition A bookstore spent $241 to send a group of students to a reading competition. Each student who won was given a $5 gift certificate and a personalized bookmark that cost $2. Included in the $241 was $45 for the salary of a staff member who accompanied the students to the competition. How many students won prizes?

19. Cell Phones Your cell phone provider charges a monthly fee of $19
Cell Phones Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $0.25 per minute for each minute over 200 minutes. Last month, your bill was $ How many additional minutes did you use last month?

20. Geometry The perimeter of the rectangle shown is 28 units
Geometry The perimeter of the rectangle shown is 28 units. The length is 10 units. What is the width of the rectangle?

21. How do you solve multi-step equations?

22. Ticket Out the Door
Solve
10𝑏−3 4+𝑏 =2