1. How can you use multi-step equations to solve real-life problems?
Part 1: Write and solve an equation to find the value of x. Hint: think about the structure of the equation you used last class to solve for x in these problems! Part 2: Explain how you could check your solution once you have solved for x.
(2x + 30)°
(2x + 30) + (2x + 20) + x = 360
5x = 360
50°
(2x + 20)°
5x+ 100 – 100 = x°
5x = 260
x = 52

2. 1.2 Solving Multi-Step Equations

3. Solving Multi-Step Linear Equations
Simplify each side of the equations first
Distribute, if needed
Combine like terms, if needed
2) Use inverse operations to isolate the variable

4. Combine like terms on the left!
Examples
Simplify first!!
Combine like terms on the left!
Solve:
2) Solve: 1

5. You try!
1.)
2.)

6. Another Example!
3.)

7. You try!
3.)

8. Solving Real Life Problems
Day
Miles
Mon
3.5
Tues
5.5
Wed
Thu 5
Fri x
Use the table to find the number of miles x you need to bike on Friday so that the mean number of miles bike per day is 5.
What is mean?
How do you find the mean?

9. You try!
Your schools drama club charges $4 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. How many people attended the play?
amt per person · (the number of people that attend) – loan = profit
· x = 100
4x – 400 = 100
4x – =
4x = 500
x=125 people