Simplifying Algebraic Expressions

Name: _______________________________
Date: _______________________________

Instructions: Simplify each expression by combining like terms. Show your working.

Section A: Basic Simplification

1. 3x + 5x = _______________________________
2. 7y − 2y = _______________________________
3. 4a + 3a + 2a = _______________________________
4. 9m − 4m + m = _______________________________
5. 6p + 8 − 2p = _______________________________

Section B: Multiple Terms

6. 5x + 3y + 2x − y = _______________________________
7. 8a − 3b + 4a + 7b = _______________________________
8. 10 + 4c − 6 + 3c = _______________________________
9. 7n + 12 − 3n − 5 = _______________________________
10. 2t + 5s − t + 3s − 4 = _______________________________

Section C: Challenge Questions

11. 3x² + 5x + 2x² − 3x = _______________________________
12. 6ab + 4a − 2ab + 3a = _______________________________
13. 9y − 3 + 2y² − 4y + 7 = _______________________________
14. 5k + 3j − 2k + 6 − j + 4k = _______________________________
15. 8m² − 5m + 3m² + 9m − 12 = _______________________________