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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.
The goal of this problem is to investigate parametric equations, plane curves and implicit/explicit formsof surfaces and curves.
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Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods, when are they appropriate and which method is your preference?
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