Part 1: Combining Like Terms
Instructions: Simplify each expression by combining like terms.
1. $5x + 10x$
2. $12y - 8y$
3. $4a + 7 + 2a$
4. $8b + 3 - 5b + 6$
5. $-3c + 9c$
6. $7x + 2y - 4x + 3y$
7. $10 - 5d + 2 - 9d$
8. $a^2 + 5a + 3a^2$
Part 2: The Distributive Property
Instructions: Simplify each expression by using the distributive property. You do not need to combine like terms yet.
9. $4(x + 5)$
10. $7(y - 2)$
11. $-3(a + 6)$
12. $-5(b - 1)$
13. $2(3c + 4)$
14. $-(x + 8)$
Part 3: Putting It All Together
Instructions: Simplify each expression. First, use the distributive property, then combine any like terms.
15. $3(x + 2) + 5x$
16. $5(y - 4) - 2y$
17. $2(a + 1) + 3(a + 4)$
18. $8 + 4(b - 3)$
19. $-6(c - 2) + 10$
20. $7(x + 2y) - 3y$
21. $10 - (x + 9)$
22. $4(d - 3) - (d - 5)$