Factoring Worksheet With Examples Page 23
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Mid-Chapter Quiz
Lessons 8-1 through 8-3
Factor each monomial completely.
17.
GEOMETRY
Write an expression in factored
(Lesson 8-1)
2
form for the area of the shaded region.
1. 35mn
2. 27 r
3
2
3
3. 20 xy
4. 78 a
b c
(Lesson 8-2)
5.
THEATER
Drama students have 140 chairs to
place in front of an outdoor stage. In what
ways can they arrange the chairs so that
there is the same number in each row, at least
6 rows of chairs, and at least 6 chairs in each
row?
(Lesson 8-1)
Solve each equation. Check the solutions.
Find the GCF of each set of monomials.
(Lesson 8-2)
(Lesson 8-1)
18. (8n + 5)(n - 4) = 0
3
2
2
6. 24a b
7. 18n, 25p
, 21a
2
19. 9x
- 27x = 0
2
2
2
2
2
8. 15q
r
, 5r
s
9. 42x
y, 30xy
2
20. 10x
= -3x
Factor each polynomial.
(Lesson 8-2)
Factor each trinomial.
(Lesson 8-3)
10. 3m + 18n
2
21. n
- 2n - 48
2
11. 4xy
- xy
2
2
2
22. x
2
3
2
- 4xy + 3y
12. 32a
b + 40b
- 8a
b
2
2
23. a
+ 5ab + 4b
13. 6pq + 16p - 15q - 40
2
2
24. s
- 13st + 36t
14.
PHOTOS
Olinda is placing matting x inches
wide around a photo that is 5 inches long
Solve each equation. Check the solutions.
and 3 inches wide. Write an expression in
(Lesson 8-3)
factored form for the area of the
2
25. a
+ 7a + 10 = 0
matting.
(Lesson 8-2)
2
26. n
+ 4n - 21 = 0
2
27. x
- 2x - 6 = 74
2
28. x
- x + 56 = 17x
29.
GEOMETRY
The rectangle has an area of 180
square feet. Find the width w of the
rectangle.
(Lesson 8-3)
15.
FOOTBALL
In a football game, Darryl punts
the ball downfield. The height h of the
football above the ground after t seconds can
2
be modeled by h = 76.8t - 16t
. How long
was the football in the air?
(Lesson 8-2)
16.
MULTIPLE CHOICE
What are the roots
2
of d
- 12d = 0?
(Lesson 8-2)
30.
MULTIPLE CHOICE
Which represents one of
A 0 and -12
C -12 and 12
2
the roots of 0 = x
+ 3x - 18?
(Lesson 8-3)
B 0 and 12
D 12 and 12
F -6
H 6
_
1
G -3
J
3
440
Chapter 8 Factoring
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