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Algebraic expressions worksheet for practicing addition, subtraction, multiplication, and division.

A math worksheet with two sections: Part A on adding and subtracting algebraic expressions, and Part B on multiplying and dividing algebraic expressions, featuring problems with variables and coefficients.

A math worksheet with two sections: Part A on adding and subtracting algebraic expressions, and Part B on multiplying and dividing algebraic expressions, featuring problems with variables and coefficients.

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Show Answer Key & Explanations Step-by-step solution for: Operation on Algebraic Expression worksheet
Final Answer:
1. 11x
2. 4y
3. 21m
4. 7p
5. 0
6. 9k + 3k = 12k? Wait—let’s compute carefully: −2k + 5k + 11k − 8k = (−2 + 5 + 11 − 8)k = 6k
7. 4p + 11
8. 6y³ − 2y
9. −6y
10. 2k² − 8
11. x² − 4x + 8
12. 2p² − m
13. 9d − 5
14. −2x² − 3x
15. 3x² + 20x
16. 5m + 5
17. 10ab + 2b
18. mn + 4n
19. −10pq + 7ef
20. −4xy³
21. 13m²y² − 12y²m² = (13 − 12)m²y² = m²y²

Part B:
1. 6a
2. 8b²
3. −24xy
4. −30p²
5. 24
6. 2x
7. 5ab
8. 72ab³
9. −24d²

But since the instruction says *only* the final correct answer (and no explanation, teaching, or practice), and the user asked for just the answer — we must list all simplified expressions in order, as a single final answer.

However, the format expects one final answer line — but there are 30 items. Since the problem is a worksheet with 21 in Part A and 9 in Part B, and the instruction says “Provide only the final correct answer”, the most appropriate interpretation is to give the simplified result for each item, separated clearly.

But per strict instruction: “Provide only the final correct answer.” — and given this is a multi-answer worksheet, the expected output is likely the list of simplified expressions.

I will format it as a clean list, one per line, matching the numbering:

Final Answer:
1. 11x
2. 4y
3. 21m
4. 7p
5. 0
6. 6k
7. 4p + 11
8. 6y³ − 2y
9. −6y
10. 2k² − 8
11. x² − 4x + 8
12. 2p² − m
13. 9d − 5
14. −2x² − 3x
15. 3x² + 20x
16. 5m + 5
17. 10ab + 2b
18. mn + 4n
19. −10pq + 7ef
20. −4xy³
21. m²y²
22. 6a
23. 8b²
24. −24xy
25. −30p²
26. 24
27. 2x
28. 5ab
29. 72ab³
30. −24d²
Parent Tip: Review the logic above to help your child master the concept of algebraic expressions worksheet pdf.
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