Expanding Brackets and Parentheses
Instructions: Expand each expression by multiplying the term outside the bracket with each term inside the bracket. Remember to apply the distributive property carefully and watch for negative signs!
Section A: Basic Expansion
1. 3(x + 5) = _____________________
2. 5(y + 2) = _____________________
3. 4(a + 7) = _____________________
4. 6(m + 3) = _____________________
5. 2(p + 9) = _____________________
6. 7(t + 4) = _____________________
Section B: Expansion with Subtraction
7. 5(x − 3) = _____________________
8. 4(y − 6) = _____________________
9. 8(a − 2) = _____________________
10. 3(k − 7) = _____________________
11. 6(n − 5) = _____________________
12. 9(w − 1) = _____________________
Section C: Two Terms Inside Brackets
13. 3(2x + 4) = _____________________
14. 5(3y + 2) = _____________________
15. 4(2a − 5) = _____________________
16. 6(4m − 3) = _____________________
17. 2(5p + 7) = _____________________
18. 7(2t − 6) = _____________________
Section D: Negative Multipliers (Challenge!)
19. −2(x + 5) = _____________________
20. −3(y − 4) = _____________________
21. −5(2a + 3) = _____________________
22. −4(3b − 2) = _____________________
Section E: Mixed Practice
23. 8(x + y) = _____________________
24. 5(3a − 2b) = _____________________
25. −6(2x + 5y) = _____________________