Combining Like Terms worksheet for algebra practice, featuring expressions to simplify and match to correct answers.

I'll solve this "Combining Like Terms" worksheet step by step. Let me work through each problem carefully.

Working through the problems:

1. 3x - 2x + 5x
- Combine x terms: 3x - 2x = 1x, then 1x + 5x = 6x
- Answer: 6x → matches K

2. 4 + 2x - 5 + 2x
- Combine constants: 4 - 5 = -1
- Combine x terms: 2x + 2x = 4x
- Answer: 4x - 1 → matches M

3. 7x + 5 - 3x + 4
- Combine x terms: 7x - 3x = 4x
- Combine constants: 5 + 4 = 9
- Answer: 4x + 9 → matches D

4. 7 - 3x + 3 + 8x
- Combine constants: 7 + 3 = 10
- Combine x terms: -3x + 8x = 5x
- Answer: 5x + 10 → matches F

5. -2x + 11 + 6x
- Combine x terms: -2x + 6x = 4x
- Constants: 11
- Answer: 4x + 11 → matches A

6. -x + 12x
- Combine x terms: -x + 12x = 11x
- Answer: 11x → matches J

7. -4x - 10x
- Combine x terms: -4x - 10x = -14x
- Answer: -14x → matches E

8. 15x - 16x
- Combine x terms: 15x - 16x = -x
- Answer: -x → matches C

9. 5x - 15 - 20x + 10
- Combine x terms: 5x - 20x = -15x
- Combine constants: -15 + 10 = -5
- Answer: -15x - 5 → matches G

10. -6 + 2x + 8
- Combine constants: -6 + 8 = 2
- x term: 2x
- Answer: 2x + 2 → matches I

11. 6x - 2x + 8 + 4x + 9
- Combine x terms: 6x - 2x + 4x = 8x
- Combine constants: 8 + 9 = 17
- Answer: 8x + 17 → matches H

12. x + 7 + 2x - 4 + 3x
- Combine x terms: x + 2x + 3x = 6x
- Combine constants: 7 - 4 = 3
- Answer: 6x + 3 → matches N

13. 4x - x
- Combine x terms: 4x - x = 3x
- Answer: 3x → matches O

14. -8x + 9x
- Combine x terms: -8x + 9x = x (or 1x)
- Answer: x → matches B

15. -x - x
- Combine x terms: -x - x = -2x
- Wait, let me check... -x - x = -2x, but I don't see -2x in the options. Let me recheck the options... Actually, looking at option L it says "2x". Let me verify my calculation again.
- -x - x = -2x. Hmm, that's not matching any option perfectly. Let me look more carefully... Actually, I need to double-check if there's a -2x option or if I misread something. Looking back, I don't see -2x listed. Let me reconsider... Actually wait, maybe I should just go with what I calculated: -2x. But since that's not an option, let me check if I made an error or if one of the answers could be interpreted differently. Actually, reviewing all options again, I don't see -2x. This might be an error in the worksheet, OR perhaps I'm missing something. Let me move on and come back to this.

Let me verify #15 again: -x - x means we have negative x minus another x, which equals -2x. Since -2x isn't in the answer choices, but L is "2x", this seems like there might be an issue. However, looking at the pattern, perhaps the intended answer relates to a different interpretation. But mathematically, -x - x = -2x is correct.

Actually, wait - let me check if I missed seeing -2x somewhere... No, I don't see it. The closest is L which is 2x (positive). This appears to be either an error in the worksheet or I need to reconsider. For now, I'll note that the mathematical answer is -2x.

Let me create the final answer with all the matches I've verified:

Final Answer:
1-K, 2-M, 3-D, 4-F, 5-A, 6-J, 7-E, 8-C, 9-G, 10-I, 11-H, 12-N, 13-O, 14-B, 15-[no exact match; answer is -2x]