1. GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations in reverse order. SOLVING MULTI-STEP EQUATIONS

2. Extra Example 1 EXAMPLE 2 Click to see the solution

3. Extra Example 2 Solve: 2x – 9x + 17 = –4 Click to see the solution

4. Checkpoint EXAMPLE 3 x = –50

5. Extra Example 3 Solve 4x + 12(x – 3) = 28 EXAMPLE 4 Click to see the solution

6. Extra Example 4 Solve 2x – 5(x – 9) = 27 Click to see the solution

7. Checkpoint Solve 10x – 6(2x + 5) = 20 EXAMPLE 5 x = –25

8. Extra Example 5 Click to see the solution

9. Checkpoint x = –11

10. GOAL 2 SOLVING REAL-LIFE PROBLEMS We will look at some specific real-life problems to learn how to write multi-step equations which can then be solved. 3.3 Solving Multi-Step Equations EXAMPLE 6

11. Extra Example 6 What Celsius temperature would indicate a fever of 104°F? Use the formula Click to see the solution

12. Checkpoint Use to convert 212°F to Celsius. EXAMPLE 7 C = 100

13. Extra Example 7 Air temperature drops about 3°F for each 1000 ft increase in altitude. If the air temperature at sea level is 77°F, at what altitude would you expect the temperature to be 53°F? Click to see the solution

14. Checkpoint The speed of a falling object increases 32 ft/sec for each second it falls. How many seconds will it take the speed of a rock dropped from a very high cliff to increase from 50 ft/sec to 210 ft/sec? t = 5 sec

15. Example 8 The sum of three numbers is 67. The second number is 4 more than three times the first number. The third number is three less than two times the first number. Find the three numbers. Click to see the solution

16. QUESTIONS?