Combining Like Terms Worksheet Free Pdf
Combining Like Terms Worksheet
Combining like terms is an important algebraic skill, and practicing it with various examples can be very beneficial.
Questions Table:
| Question |
|---|
| 1. Simplify the expression: 2x + 3x |
| 2. Simplify the expression: 4y – 2y |
| 3. Simplify the expression: 3a + 2b – 4a |
| 4. Simplify the expression: 5x + 2y – 3x – 2y |
| 5. Simplify the expression: 2(3x + 4y) |
| 6. Simplify the expression: 2x – 3(4x – 2) |
| 7. Simplify the expression: 3(a + b) – 2(2a – 3b) |
| 8. Simplify the expression: 5x – 2y + 3x + y |
| 9. Simplify the expression: 4(2x – 3) – 2(5x + 1) |
| 10. Simplify the expression: 2a(3a + 2b) – b(4a – 5b) |
| 11. Simplify the expression: 7x + 2x – 3x |
| 12. Simplify the expression: 2y + 3y – 5y |
| 13. Simplify the expression: 4(a – b) – 2(3a + 2b) |
| 14. Simplify the expression: 3x + 2y + 5x – 2y |
| 15. Simplify the expression: 2(4x + 3y) – 3(2x – y) |
| 16. Simplify the expression: 5(a + b) – 2(2a + b) |
| 17. Simplify the expression: 6x + 4y – 2x – 3y |
| 18. Simplify the expression: 3(2x – y) + 2(3x + 4y) |
| 19. Simplify the expression: 2a + 2a + 2a |
| 20. Simplify the expression: 5x – 3x + 4x – x |
Solutions Table:
| Solution with Method of Work |
|---|
| 1. 2x + 3x = 5x |
| 2. 4y – 2y = 2y |
| 3. 3a + 2b – 4a = (3a – 4a) + 2b = -a + 2b |
| 4. 5x + 2y – 3x – 2y = (5x – 3x) + (2y – 2y) = 2x |
| 5. 2(3x + 4y) = 6x + 8y |
| 6. 2x – 3(4x – 2) = 2x – 12x + 6 = -10x + 6 |
| 7. 3(a + b) – 2(2a – 3b) = 3a + 3b – 4a + 6b = -a + 9b |
| 8. 5x – 2y + 3x + y = (5x + 3x) + (-2y + y) = 8x – y |
| 9. 4(2x – 3) – 2(5x + 1) = 8x – 12 – 10x – 2 = -2x – 14 |
| 10. 2a(3a + 2b) – b(4a – 5b) = 6a^2 + 4ab – 4ab + 5b^2 = 6a^2 + 5b^2 |
| 11. 7x + 2x – 3x = 6x |
| 12. 2y + 3y – 5y = (2y + 3y) – 5y = 5y – 5y = 0 |
| 13. 4(a – b) – 2(3a + 2b) = 4a – 4b – 6a – 4b = -10a – 8b |
| 14. 3x + 2y + 5x – 2y = (3x + 5x) + (2y – 2y) = 8x |
| 15. 2(4x + 3y) – 3(2x – |
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