Expanding Single Brackets
Name: _____________________________
Date: _____________________________
Remember: When expanding brackets, multiply the term outside the bracket by each term inside the bracket.
Example: 3(x + 4) = 3 × x + 3 × 4 = 3x + 12
Part A: Expand these expressions
1. 2(x + 5) = _____________________________
2. 4(y + 3) = _____________________________
3. 5(a + 7) = _____________________________
4. 3(m + 9) = _____________________________
5. 6(p + 2) = _____________________________
6. 7(n + 1) = _____________________________
7. 8(k + 4) = _____________________________
8. 9(t + 6) = _____________________________
Part B: Expand these expressions with subtraction
9. 3(x − 2) = _____________________________
10. 5(y − 4) = _____________________________
11. 4(a − 6) = _____________________________
12. 6(b − 3) = _____________________________
13. 7(c − 1) = _____________________________
14. 2(d − 8) = _____________________________
15. 9(e − 5) = _____________________________
16. 8(f − 7) = _____________________________
Part C: Expand these expressions with two terms
17. 4(2x + 3) = _____________________________
18. 3(5y + 2) = _____________________________
19. 5(3a − 4) = _____________________________
20. 2(4b − 7) = _____________________________
21. 6(2m + 5) = _____________________________
22. 7(3n − 1) = _____________________________
Part D: Challenge questions
23. −3(x + 4) = _____________________________
24. −2(y − 5) = _____________________________
25. 5(2a + 3b) = _____________________________
26. 4(3x − 2y) = _____________________________