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.