Algebra worksheet focused on combining like terms, featuring 26 equations to practice simplifying expressions.

Let’s solve each problem step by step. We’re combining like terms — that means we add or subtract terms that have the same variable and exponent.

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1.) x + 2x =
→ x is the same as 1x, so 1x + 2x = 3x

2.) 2x – x =
→ 2x – 1x = 1x, which we write as x

3.) 4x + 2x =
→ 4 + 2 = 6 → 6x

4.) 6x – 3x =
→ 6 – 3 = 3 → 3x

5.) 5x + x =
→ 5x + 1x = 6x

6.) 2x + 2x =
→ 2 + 2 = 4 → 4x

7.) 7x – 5x =
→ 7 – 5 = 2 → 2x

8.) 3x – 2x =
→ 3 – 2 = 1 → x

9.) x + x =
→ 1x + 1x = 2x

10.) x² + 2x² =
→ Both are x² terms: 1 + 2 = 3 → 3x²

11.) 4x² – 3x² =
→ 4 – 3 = 1 → x²

12.) 3x² + 2x² =
→ 3 + 2 = 5 → 5x²

13.) 2x² + 2x + x² + x =
Group like terms:
x² terms: 2x² + x² = 3x²
x terms: 2x + x = 3x
→ 3x² + 3x

14.) 5x + x² – 2x + x² =
Group like terms:
x² terms: x² + x² = 2x²
x terms: 5x – 2x = 3x
→ 2x² + 3x

15.) 3x + 2x – x + 2x² =
Group like terms:
x terms: 3x + 2x – x = 4x
x² term: 2x² (only one)
→ 2x² + 4x

16.) 6x + 3x² – x – x² =
Group like terms:
x² terms: 3x² – x² = 2x²
x terms: 6x – x = 5x
→ 2x² + 5x

17.) 4x + 3 + x² – x =
Group like terms:
x² term: x²
x terms: 4x – x = 3x
constant: 3
→ x² + 3x + 3

18.) 2x + 3x + 9 + x =
x terms: 2x + 3x + x = 6x
constant: 9
→ 6x + 9

19.) 2x² + 3 + 3x – 1 =
x² term: 2x²
x term: 3x
constants: 3 – 1 = 2
→ 2x² + 3x + 2

20.) 2x + 5 + x² – x =
x² term: x²
x terms: 2x – x = x
constant: 5
→ x² + x + 5

21.) 2x + 4y – x + y =
x terms: 2x – x = x
y terms: 4y + y = 5y
→ x + 5y

22.) 2y + x + 3x – y =
x terms: x + 3x = 4x
y terms: 2y – y = y
→ 4x + y

23.) x + y + 2y – 4 =
x term: x
y terms: y + 2y = 3y
constant: –4
→ x + 3y – 4

24.) 5 + 2x + y + 2x – 1 =
x terms: 2x + 2x = 4x
y term: y
constants: 5 – 1 = 4
→ 4x + y + 4

25.) 3y + z + 2y + 5 =
y terms: 3y + 2y = 5y
z term: z
constant: 5
→ 5y + z + 5

26.) 2x + 2y + x² – x + x² =
x² terms: x² + x² = 2x²
x terms: 2x – x = x
y term: 2y
→ 2x² + x + 2y

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Final Answer:
1.) 3x
2.) x
3.) 6x
4.) 3x
5.) 6x
6.) 4x
7.) 2x
8.) x
9.) 2x
10.) 3x²
11.) x²
12.) 5x²
13.) 3x² + 3x
14.) 2x² + 3x
15.) 2x² + 4x
16.) 2x² + 5x
17.) x² + 3x + 3
18.) 6x + 9
19.) 2x² + 3x + 2
20.) x² + x + 5
21.) x + 5y
22.) 4x + y
23.) x + 3y – 4
24.) 4x + y + 4
25.) 5y + z + 5
26.) 2x² + x + 2y