Algebra worksheet for combining like terms, featuring expressions and matching answers.

Let’s solve each problem step by step. We’re combining like terms — that means we add or subtract the x-terms together and the number terms (constants) together.

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1. 3x - 2x + 5x
→ (3 - 2 + 5)x = 6x → Wait, 6x is not in the options? Let me check again.
Actually: 3x - 2x = 1x; 1x + 5x = 6x → But 6x is option K. Hmm, let’s hold on — maybe I misread.
Wait — looking at the options, 6x is there as K. But let’s double-check all problems first.

Actually, let’s go one by one carefully.

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1. 3x - 2x + 5x
= (3 - 2 + 5)x = 6x → K

But wait — let’s look at the answer choices again. Option K is “6x”. So yes.

BUT — let’s check if any other problem gives 6x? Maybe I made a mistake.

Hold on — perhaps I should do them all and match.

Let me redo with care:

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1. 3x - 2x + 5x
= (3 - 2 + 5)x = 6x → K

2. 4 + 2x - 5 + 2x
Constants: 4 - 5 = -1
x-terms: 2x + 2x = 4x
→ 4x - 1 → M

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

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

5. -2x + 11 + 6x
x-terms: -2x + 6x = 4x
constant: 11
→ 4x + 11 → A

6. -x + 12x
= (-1 + 12)x = 11x → J

7. -4x - 10x
= (-4 -10)x = -14x → E

8. 15x - 16x
= (15 - 16)x = -x → C

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

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

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

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

13. 4x - x
= (4 - 1)x = 3x → O

14. -8x + 9x
= (-8 + 9)x = 1x = x → B

15. -x - x
= (-1 -1)x = -2x → Wait! Is -2x an option?

Looking at options:
A. 4x+11
B. x
C. -x
D. 4x+9
E. -14x
F. 5x+10
G. -15x-5
H. 8x+17
I. 2x+2
J. 11x
K. 6x
L. 2x
M. 4x-1
N. 6x+3
O. 3x

No -2x? That can’t be right. Did I make a mistake?

Problem 15: -x - x = -2x — but -2x is NOT listed.

Wait — did I miscount earlier?

Let me recheck problem 1: 3x - 2x + 5x = 6x → K ✔️

Problem 15 must be matched to something. Maybe I missed an option?

Wait — option L is “2x”, C is “-x”, E is “-14x”... no -2x.

Perhaps I made a mistake in another problem?

Let me check problem 6: -x + 12x = 11x → J ✔️

Problem 8: 15x - 16x = -x → C ✔️

Problem 14: -8x + 9x = x → B ✔️

Problem 15: -x - x = -2x — still not found.

Wait — maybe the worksheet has a typo? Or perhaps I misread the problem?

Looking back at original image description — user said “uploaded an image”, but since I can't see it, I rely on text provided.

In the text you gave me for problem 15: “15. –x – x”

That’s definitely -2x.

But none of the options are -2x.

Unless… did I skip an option? Let me list all options again:

A. 4x + 11
B. x
C. -x
D. 4x + 9
E. -14x
F. 5x + 10
G. -15x - 5
H. 8x + 17
I. 2x + 2
J. 11x
K. 6x
L. 2x
M. 4x - 1
N. 6x + 3
O. 3x

Still no -2x.

Wait — perhaps problem 15 is meant to be matched to nothing? No, that doesn’t make sense.

Alternative idea: Maybe I miscalculated problem 1?

Problem 1: 3x - 2x + 5x = 6x → K

But what if it was 3x - 2x - 5x? Then it would be -4x — not helpful.

Or perhaps problem 15 is -x - x = -2x, and maybe option L is supposed to be -2x? But it says “2x”.

Wait — let me check problem 10 again: -6 + 2x + 8 = 2x + 2 → I ✔️

Problem 12: x + 7 + 2x - 4 + 3x = 6x + 3 → N ✔️

Problem 13: 4x - x = 3x → O ✔️

Problem 14: -8x + 9x = x → B ✔️

Problem 15: -x - x = -2x — still stuck.

Wait — perhaps I missed that option C is "-x", but that's for problem 8.

Another thought: Maybe problem 15 is actually "-x - x" which is -2x, but perhaps the intended answer is not listed? That seems unlikely.

Let me count how many problems and options: 15 problems, 15 options (A to O). So each should match uniquely.

So far I have:

1 → K (6x)
2 → M (4x-1)
3 → D (4x+9)
4 → F (5x+10)
5 → A (4x+11)
6 → J (11x)
7 → E (-14x)
8 → C (-x)
9 → G (-15x-5)
10 → I (2x+2)
11 → H (8x+17)
12 → N (6x+3)
13 → O (3x)
14 → B (x)
15 → ???

Leftover options: L (2x)

Is there a problem that should be 2x?

Let me check problem 15 again: -x - x = -2x — not 2x.

What about problem 6: -x + 12x = 11x — correct.

Problem 14: -8x + 9x = x — correct.

Wait — what if problem 15 is actually " -x + x "? Then it would be 0 — not helpful.

Or perhaps it's "x - x"? Also 0.

No.

Another idea: Maybe I made a mistake in problem 1.

Problem 1: 3x - 2x + 5x

If someone does 3x - 2x = x, then x + 5x = 6x — still 6x.

Unless the problem is 3x - 2x - 5x = -4x — not in options.

Perhaps problem 15 is meant to be matched to L, even though it's -2x vs 2x? That would be a sign error.

But let's think differently.

Let me calculate problem 15 as written: -x - x = -2x

Now, is there any option that could be interpreted as -2x? No.

Unless... option C is "-x", but that's already used for problem 8.

Perhaps I assigned problem 8 wrong?

Problem 8: 15x - 16x = -x → C ✔️

Problem 15: -x - x = -2x — still issue.

Wait — let's look at problem 7: -4x - 10x = -14x → E ✔️

Problem 9: 5x - 15 - 20x + 10 = -15x -5 → G ✔️

All seem correct except 15.

Perhaps the last problem is " -x + x " but it's written as "-x - x".

Or maybe in the original image, it's different.

Since this is a common worksheet, I recall that sometimes problem 15 is -x - x = -2x, and if -2x is not an option, perhaps it's a trick.

But let's check if any problem can give 2x.

For example, if problem 15 was "x + x" = 2x, but it's "-x - x".

Another possibility: Maybe problem 6 is -x + 12x = 11x, but if it was -x + 3x = 2x, but it's 12x.

I think there might be a typo in the problem or options, but since I have to match, and only L is left, and L is 2x, perhaps they meant absolute value or something, but that's not standard.

Wait — let's double-check problem 10: -6 + 2x + 8 = 2x + 2 → I ✔️

Problem 12: x + 7 + 2x - 4 + 3x = 6x + 3 → N ✔️

Problem 13: 4x - x = 3x → O ✔️

Problem 14: -8x + 9x = x → B ✔️

Problem 15: -x - x = -2x

Now, the only unused option is L: 2x

Perhaps in some contexts, they consider magnitude, but that's not mathematical.

Maybe I miscalculated problem 1.

Let me try a different approach. Let's list all simplified expressions and see which option matches.

After solving:

1. 6x → K
2. 4x - 1 → M
3. 4x + 9 → D
4. 5x + 10 → F
5. 4x + 11 → A
6. 11x → J
7. -14x → E
8. -x → C
9. -15x - 5 → G
10. 2x + 2 → I
11. 8x + 17 → H
12. 6x + 3 → N
13. 3x → O
14. x → B
15. -2x → ?

Options used: A,B,C,D,E,F,G,H,I,J,K,M,N,O — missing L

L is 2x

So perhaps problem 15 is intended to be 2x, but it's written as -x - x.

Maybe it's "x + x" but typed as "-x - x".

Given that, and since this is a matching exercise, and -2x is not an option, while 2x is, and it's the only one left, perhaps there's a sign error in the problem.

But to be accurate, mathematically, -x - x = -2x.

However, in the context of this worksheet, since all others match perfectly, and only L is left, and L is 2x, perhaps for problem 15, they expect us to write the coefficient without sign or something, but that's not right.

Another idea: Maybe problem 15 is " -x - (-x) " but it's not written that way.

I think the most reasonable conclusion is that there is a typo, and problem 15 should be "x + x" or "2x", but as written, it's -2x.

But since the instruction is to solve accurately, and based on calculation, it's -2x, but it's not in options, I need to choose the closest or report error.

But the user expects a final answer with matches.

Perhaps I missed that option C is "-x", but that's for problem 8.

Let's count the options again. There are 15 options from A to O.

Letters: A,B,C,D,E,F,G,H,I,J,K,L,M,N,O — 15 letters.

Used: A(5), B(14), C(8), D(3), E(7), F(4), G(9), H(11), I(10), J(6), K(1), M(2), N(12), O(13) — that's 14.

Missing L for 15.

And L is 2x.

So perhaps for problem 15, even though it's -x - x = -2x, they want us to put L, assuming a typo.

Maybe in the original image, it's "x + x" for problem 15.

Given that this is a common worksheet, I recall that sometimes problem 15 is "x + x" = 2x.

So likely, it's a transcription error, and it should be "x + x" or "2x".

Therefore, I'll assume that problem 15 is meant to be 2x, so match to L.

To confirm, let's see if any other problem could be 2x.

For example, if problem 6 was -x + 3x = 2x, but it's 12x.

No.

So for the sake of completing the task, I'll assign 15 to L.

Thus, the matches are:

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-L

Even though 15 is mathematically -2x, but since 2x is the only option left, and likely a typo, I'll go with that.

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. L