Using the Distributive Property
Name: _____________________________
Date: _____________________________
Remember: The distributive property states that a(b + c) = ab + ac
Part A: Expand the brackets
1. 3(x + 5) = _____________________________
2. 5(m + 2) = _____________________________
3. 7(a - 4) = _____________________________
4. 2(n - 8) = _____________________________
5. 6(p + 3) = _____________________________
6. 4(y - 1) = _____________________________
7. 9(k + 7) = _____________________________
8. 8(t - 6) = _____________________________
Part B: Expand and simplify
9. 2(x + 3) + 4x = _____________________________
10. 5(m + 1) + 3m = _____________________________
11. 3(a - 2) + 7 = _____________________________
12. 4(p + 5) - 3p = _____________________________
13. 6(n - 1) + 2n = _____________________________
14. 7(y + 2) - 5 = _____________________________
Part C: Expand brackets with negative terms
15. -2(x + 4) = _____________________________
16. -3(m - 5) = _____________________________
17. -5(a + 2) = _____________________________
18. -4(p - 3) = _____________________________
Part D: Challenge - Expand and simplify
19. 3(x + 2) + 2(x + 5) = _____________________________
20. 4(m - 1) + 3(m + 2) = _____________________________
21. 5(a + 3) - 2(a + 1) = _____________________________
22. 2(p - 4) + 3(p - 2) = _____________________________