1.
Which of the following values is prime?
A.
96
B.
81
C.
72
D.
53
Hint
2.
Factor 14
x
2
- 28
y
2
+ 56
A.
14(
x
2
- 2
y
2
+ 4)
B.
(2
x
+ 7
y
+ 2)(7
x
- 4
y
+ 2)
C.
14
xy
(
x
- 2
y
+ 4)
D.
14(
x
2
- 14
y
2
+ 42)
Hint
3.
Factor
x
2
– 16.
A.
(
x
+ 4)(
x
+ 4)
B.
(
x
+ 2)(
x
– 8)
C.
(
x
+ 4)(
x
– 4)
D.
(
x
– 4)(
x
– 4)
Hint
4.
Factor 7
xy
2
- 28
x
3
A.
7
x
2
y
2
(1 +
x
)
B.
(7
xy
+
x
)(
y
– 28
x
2
)
C.
prime
D.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
Hint
5.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3(2
a
3
b
5
- 5
a
2
b
)
B.
ab
(6
a
2
b
4
- 15
a
)
C.
3
a
3
b
(2
ab
2
- 5)
D.
3
a
2
b
(2
ab
4
- 5)
Hint
6.
Solve
a
2
– 12
a
= -27.
A.
a
= 9
B.
a
= -27 or
a
= -15
C.
a
= 3
D.
a
= 3 or
a
= 9
Hint
7.
Is 79 prime or composite? If it is composite, what is its factorization?
A.
composite, 7 × 11
B.
prime
C.
composite, 13 × 6
D.
composite, 3 × 23
Hint
8.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
+ 3)
B.
23
x
(
x
2
+ 3)
C.
23
x
(
x
2
– 3)
D.
23
x
(
x
– 3)
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 = 30 ft
width = 24ft
C.
length = 18 ft
wideth = 15ft
D.
length = 15 ft
width = 18 ft
Hint
10.
Solve 6
x
2
+ 3
x
– 12 = 2 – 2
x
.
A.
B.
{–1.61, 1.45}
C.
{–1.77, 0.94}
D.
Hint
11.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
Hint
12.
Determine whether the trinomial 9
x
2
– 60
x
+ 25 is a perfect square trinomial. If so, factor it.
A.
(3
x
– 5)(3
x
+ 5)
B.
(3
x
– 5)(3
x
– 5)
C.
(3
x
+ 5)(3
x
+ 5)
D.
It is prime.
Hint