Lesson 8 Homework Practice

Factor Linear Expressions

Find the GCF of each pair of monomials.

1. 20, 45x

2. 15r, 25

3. 8xy, 14x

4. 30w, 70w

5. 4st, 12s

6. 11gh, 33g

7. 16mn, 24m

8. 25f, 60g

9. 33c,55cd

10. 50j, 75jk

11. 27cd, 72cde

12. 48t, 60st

Factor each expression. If the expression cannot be factored, write

cannot be factored.

13. 4x + 12

14. 8r – 14

15. 5x + 35

16. 7 + 14x

17. 32x – 15

18. 24 + 32x

19. 6x – 9

20. 48 + 24x

21. 72 – 18x

22. 25x + 14

23. 100x + 150

24. 130x – 13

25. GEOMETRY The rectangle shown 26. FUNDRAISING The Art Club receives

below has a total area of (4x + 36) $10 plus $2 for every sculpture they sell

square feet. Factor 4x + 36. for a fundraiser. The expression 2x + 10

represents the amount the Art Club

receives if they sell x sculptures.

Factor 2x + 10.