1. Multi-Step Equations - Day 1 2-3
Solving Two-Step and
Multi-Step Equations - Day 1
2-3
Warm Up
Lesson Presentation
Assignment
Holt Algebra 1

2. Warm Up Evaluate each expression. 1. 9 –3(–2) 2. 3(–5 + 7) 15 3.
4. 26 – 4(7 – 5) 15 6 –4 18

3. Objective
Solve equations in one variable that contain more than one operation.

4. Equations that contain more than one operation require more than one step to solve. Identify the operations in the equation and the order in which they are applied to the variable. Then use inverse operations and work backward to undo them one at a time.
Alex belongs to a music club. In this club, students can buy a student discount card for $ This card allows them to buy CDs for $3.95 each. After one year, Alex has spent $63.40.
To find the number of CDs c that Alex bought, you can solve an equation.
Cost per CD
Total cost
3.95c = 63.40
Cost of discount card

5. Solving Two-Step Equations
Undo add or subtract first
Undo multiply or divide next

6. Example 1A: Solving Two-Step Equations
Solve 18 = 4a + 10.

7. Example 1B: Solving Two-Step Equations
Solve 5t – 2 = –32.

8. Example 1B: Solving Two-Step Equations
Solve

9. Check it Out! Example 1a
Solve

10. Check it Out! Example 1b
Solve 1.5 = 1.2y – 5.7

11. Check it Out! Example 1c
Solve

12. Check it Out! Example 1c
Solve

13. Example 2A: Solving Two-Step Equations That Contain Fractions
Solve

14. Check It Out! Example 2a
Solve

15. Check It Out! Example 2b
Solve

16. Challenge & Extend
Solve

17. Check It Out! Example 4
The Flatville High School principal’s salary is $100,000 a year. This is 14,000 less than three times a beginning teacher’s salary at he school. Write and solve an equation to find the beginning teacher’s salary.
Let x = beginning teacher’s salary
This is 14,000 less than three times a beginning teacher’s salary
100,000 = 3x
- 14,000
100,000 =3x - 14,000 17

18. Check It Out! Example 4
Sara paid $15.95 to become a member at a gym. She then paid a monthly membership fee. Her total cost for 12 months was $ How much was the monthly fee?
total cost
initial membership
monthly fee = +
= 12m

19. Example 5A: Solving Equations to Find an Indicated Value
If 4a = 5, find the value of a – 1.
Step 1 Find the value of a.
Step 2 Find the value of a – 1.

20. Assignment 2-3 Solving Two-Step Equations