Algebraic expression interactive worksheet for 7 - Free Printable

Let’s go through each problem one by one.

We are simplifying algebraic expressions — that means combining like terms (terms with the same variable) and constants.

Remember:
- “a + a” = 2a
- “3x - x” = 2x
- Don’t factorize — just write the simplified form.
- No spaces in your answer.

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1. a + a + a + a
That’s 4 a’s → 4a

2. s + s + s - s
3 s’s minus 1 s = 2 s → 2s

3. p + p + p - p - p
3 p’s minus 2 p’s = 1 p → p

4. c + c + c + c + d + d
4 c’s and 2 d’s → 4c+2d

5. g + g + u + u
2 g’s and 2 u’s → 2g+2u

6. a + b + a + b + a
3 a’s and 2 b’s → 3a+2b

7. k + c + f + f + c + k
2 k’s, 2 c’s, 2 f’s → 2k+2c+2f

8. m + m + a + a - m
2 m’s minus 1 m = 1 m; 2 a’s → m+2a

9. f + 3r + 6f - 3r
f + 6f = 7f; 3r - 3r = 0 → 7f

10. 12g + m - 7g + 4m - g
g terms: 12g - 7g - g = 4g
m terms: m + 4m = 5m → 4g+5m

11. 4s + s + 2s
4s + 1s + 2s = 7s → 7s

12. 7x - 2x + 3x
7x - 2x = 5x; 5x + 3x = 8x → 8x

13. 10d + 7b - 2b - 4d
d terms: 10d - 4d = 6d
b terms: 7b - 2b = 5b → 6d+5b

14. 8n + 6k + 4z - 6n + z - 5k
n: 8n - 6n = 2n
k: 6k - 5k = 1k
z: 4z + z = 5z → 2n+k+5z

15. p + 14v + 10p - 5v + 7 - 2p + 3
p: p + 10p - 2p = 9p
v: 14v - 5v = 9v
constants: 7 + 3 = 10 → 9p+9v+10

16. f + 3r + 6f - r + 5
f: f + 6f = 7f
r: 3r - r = 2r
constant: 5 → 7f+2r+5

17. 12h + 30 - 4h - 25 + 16m
h: 12h - 4h = 8h
constants: 30 - 25 = 5
m: 16m → 8h+16m+5

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Final Answer:
4a
2s
p
4c+2d
2g+2u
3a+2b
2k+2c+2f
m+2a
7f
4g+5m
7s
8x
6d+5b
2n+k+5z
9p+9v+10
7f+2r+5
8h+16m+5