1. Unit 2 Lesson 2

2.  Multi Step Equations require more than two steps to solve them!  They often require Combining Like Terms or the Distributive Property to solve them!

3.  To Solve a Multi Step Equation follow these steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division.

4. 3.4x + 4 – 2.4x = 8  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division.

5. 3.4x + 4 – 2.4x = 8  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. x + 4 = 8

6. 3.4x + 4 – 2.4x = 8  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. x + 4 = 8 -4

7. 3.4x + 4 – 2.4x = 8  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. x + 4 = 8 -4 x = 4

8. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division.

9. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 2x + 6 = 6

10. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 2x + 6 = 6 -6

11. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 2x + 6 = 6 -6 2x = 0

12. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 2x + 6 = 6 -6 2x = 0 2

13. 2(x + 3) = 6  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 2x + 6 = 6 -6 2x = 0 2 x = 0

14. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division.

15. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34

16. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34 4x + 10 = 34

17. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34 4x + 10 = 34 -10

18. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34 4x + 10 = 34 -10 4x = 24

19. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34 4x + 10 = 34 -10 4x = 24 4

20. 4(x + 5) – 10 = 34  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 4x + 20 – 10 = 34 4x + 10 = 34 -10 4x = 24 4 x = 6

21. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division.

22. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25

23. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25 8x – 7 = 25

24. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25 8x – 7 = 25 +7

25. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25 8x – 7 = 25 +7 8x = 32

26. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25 8x – 7 = 25 +7 8x = 32 8

27. 2(3x – 5) + ½(4x + 6) = 25  Steps: 1. Distribute (if needed) 2. Combine Like Terms 3. Undo any addition/subtraction. 4. Undo any multiplication/division. 6x – 10 + 2x + 3 = 25 8x – 7 = 25 +7 8x = 32 8 x = 4

28. 3(2x – 4) + 10 = 16 ½(6x – 2) – 2(x + 1) = 7

29. 3(2x – 4) + 10 = 16 ½(6x – 2) – 2(x + 1) = 7 6x – 12 + 10 = 16 6x – 2 = 16 +2 6x = 18 6 x = 3

30. 3(2x – 4) + 10 = 16 ½(6x – 2) – 2(x + 1) = 7 6x – 12 + 10 = 16 6x – 2 = 16 +2 6x = 18 6 x = 3 3x – 1 – 2x – 2 = 7 x – 3 = 7 +3 x = 10