Factoring Worksheet With Examples Page 48
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Practice Test
Factor each monomial completely.
21.
ART
An artist is designing
square tiles like the one
2
3
1. 9 g
2. -40a b
h
c
shown at the right. The
area of the shaded part of
Find the GCF of each set of monomials.
each tile is 98 square
2
2
3. 16 c
, 4c d
4. 12r, 35st
centimeters. Find the
2
2
3
2
2
5. 10xyz, 15 x
y
6. 18 a
b
, 28 a
b
dimensions of the tile.
22.
CONSTRUCTION
A
Factor each polynomial, if possible. If the
Dimensions of Lawn
sidewalk will be built
polynomial cannot be factored using integers,
length
32 ft
write prime.
along the inside
width
24 ft
edges of all four sides
2
2
7. x
+ 14x + 24
8. 28 m
+ 18m
of the rectangular
2
2
2
9. a
- 11ab + 18 b
10. 2 h
- 3h - 18
lawn described in the table. The remaining
3
2
2
2
11. 6 x
+ 15 x
- 9x
12. 15 a
b + 5 a
- 10a
lawn will have an area of 425 square feet.
How wide will the walk be?
13.
MULTIPLE CHOICE
What are the roots of
2
x
- 3x - 4 = 0?
Solve each equation. Check the solutions.
A -4 and -1
23. (4x - 3)(3x + 2) = 0
2
24. 4 x
= 36
B -4 and 1
2
25. 18 s
+ 72s = 0
C 4 and -1
2
26. t
+ 25 = 10t
2
27. a
- 9a - 52 = 0
D 4 and 1
3
2
28. x
- 5 x
- 66x = 0
2
29. 2 x
= 9x + 5
14.
GEOMETRY
When the length and width of
the rectangle are increased by the same
30. 3 b
2
+ 6 = 11b
amount, the area is increased by 26 square
inches. What are the dimensions of the new
31.
GEOMETRY
The parallelogram has an area of
rectangle?
52 square centimeters. Find the height h of
the parallelogram.
h cm
( 2h
5 ) cm
Factor each polynomial, if possible. If the
32.
MULTIPLE CHOICE
Which represents one of
2
polynomial cannot be factored using integers,
the roots of 0 = 2 x
+ 9x - 5?
write prime.
_
5
F -5
H
2
2
15. a
- 4
_
1
G -
J
5
2
16. t
- 16t + 64
2
2
17. 64 p
- 63p + 16
2
2
18. 36 m
+ 60mn + 25 n
3
2
19. x
- 4 x
- 9x + 36
20. 4my - 20m + 3py - 15p
465
Chapter Test at
Chapter 8 Practice Test
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