1.
Factor -180
x
2
y
2
A.
4 · 9 · 5 ·
x
·
x
·
y
·
y
B.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
C.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
Hint
2.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 4)(
y
+ 1)
B.
(3
y
+ 1)(
y
+ 7)
C.
(3
y
+ 2)(
y
+ 2)
D.
(3
y
+ 1)(
y
+ 4)
Hint
3.
Factor
r
4
– 81.
A.
prime
B.
(
r
2
+ 9)(
r
2
+ 9)
C.
(
r
+ 3)
2
(
r
+ 3)
2
D.
(
r
2
+ 9)(
r
+ 3)(
r
- 3)
Hint
4.
Which of the following trinomials is a perfect square trinomial?
A.
9
a
2
- 12
a
+ 4
B.
x
2
+ 16
x
+ 16
C.
4
y
2
+ 10
y
+ 25
D.
r
2
- 6
r
+ 36
Hint
5.
Factor
x
2
– 8
x
+ 16.
A.
(
x
+ 4)
2
B.
(
x
- 8)
2
C.
(
x
- 4)
2
D.
(
x
+ 4)(
x
– 4)
Hint
6.
Is 57 prime or composite? If it is composite, what is its factorization?
A.
composite, 2 × 29
B.
composite, 3 × 17
C.
composite, 3 × 19
D.
prime
Hint
7.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
+ 3)
B.
23
x
(
x
– 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
2
– 3)
Hint
8.
If the product of two factors is 0, which of the following cannot be true?
A.
Neither of the factors is 0.
B.
One of the factors is 10.
C.
One of the factors is 0.
D.
Both of the factors are 0.
Hint
9.
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be?
A.
length = 24 ft
width = 30 ft
B.
length = 18 ft
wideth = 15ft
C.
length = 30 ft
width = 24ft
D.
length = 15 ft
width = 18 ft
Hint
10.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
2
x
B.
4
x
C.
4
x
– 20
D.
2
x
– 10
Hint
11.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
Hint
12.
Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
A.
4 ft.
B.
2 ft.
C.
D.
Hint