Unit 8B Test Review
NAME : ____________________________
Factor out a Greatest Common Monomial Factor (Notes A)
1.
5a3 – 7a2 + 3a
2.
10a3b + 20a2b2 – 30a
3.
– 18m4 + 12m3
Factor the Trinomial. Look for GCF to Factor out 1st. Also look for Difference of Squares.
(#4-6 Notes B,
#7 – 9 Notes C, # 10 – 12 Notes D,
#13 – 15 Notes E)
4. x2 – 5x – 14
5. y2 + 8y – 48
6. k2 – 9k + 18
7. 2x2 – 16x + 14
8. 3x2 + 33x + 90
10. 3x2 + 5x + 2
11. 2x2 – 13x – 7
12. 4x2 – 8x + 3
13. x2 – 25
14. 64m2 – 121
15. 8b2 – 18
9. 3m2 + 24m + 21
16. The area of a rectangular piece of fabric has
an area of x2 + 11x + 10. Find the dimensions.
18. The area of pool is represented by w2 – 5w = 36
17. The area of a sports court is represented by
c2 – 12c + 32. Find the dimensions.
19. The area of a patio is represented by w 2 + 3w = 40
where w represents the width. Find the width
where w represents the width. Find the width
(Remember – you cannot have a negative measurement)
(Remember – you cannot have a negative measurement)
Solve the equation to find the zeroes. Look to factor out a GCF 1st if possible. (Notes A & B)
20. 2x(x – 8) = 0
21. (3x – 9)(x + 5) = 0
24. What are the factors of the given set of
algebra tiles? (Notes E)
22.
3x2 – 9x = 0
23. x2 – 10x + 16 = 0
25. What are the factors of the given set of
algebra tiles? (Notes E)
Factored form: ____________________
Factored Form: _______________________