1.
Which of the following values is prime?
A.
81
B.
96
C.
72
D.
53
Hint
2.
Factor 14
x
2
- 28
y
2
+ 56
A.
14(
x
2
- 14
y
2
+ 42)
B.
14
xy
(
x
- 2
y
+ 4)
C.
(2
x
+ 7
y
+ 2)(7
x
- 4
y
+ 2)
D.
14(
x
2
- 2
y
2
+ 4)
Hint
3.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 1)(
y
+ 4)
B.
(3
y
+ 2)(
y
+ 2)
C.
(3
y
+ 1)(
y
+ 7)
D.
(3
y
+ 4)(
y
+ 1)
Hint
4.
Factor 4
y
2
– 3
y
– 1.
A.
prime
B.
(4
y
– 1)(
y
+ 1)
C.
(2
y
+ 1)(2
y
– 1)
D.
(4
y
+ 1)(
y
– 1)
Hint
5.
Factor 4
y
2
– 9.
A.
prime
B.
(2
y
+ 3)(2
y
+ 3)
C.
(2
y
+ 3)(2
y
– 3)
D.
(2
y
– 3)(2
y
– 3)
Hint
6.
Which of the following trinomials is a perfect square trinomial?
A.
x
2
+ 16
x
+ 16
B.
9
a
2
- 12
a
+ 4
C.
4
y
2
+ 10
y
+ 25
D.
r
2
- 6
r
+ 36
Hint
7.
Is 79 prime or composite? If it is composite, what is its factorization?
A.
composite, 3 × 23
B.
composite, 13 × 6
C.
prime
D.
composite, 7 × 11
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.
Both of the factors are 0.
D.
One of the factors is 0.
Hint
9.
Factor
x
2
+ 6
x
– 7.
A.
(
x
– 1)(
x
+ 7)
B.
(
x
– 3)(
x
– 3)
C.
(
x
+ 3)(
x
+ 3)
D.
(
x
+ 1)(
x
– 7)
Hint
10.
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 = 15 ft
width = 18 ft
D.
length = 18 ft
wideth = 15ft
Hint
11.
Factor 3
x
3
+ 3
x
2
– 12
x
– 12.
A.
(
x
– 2)(
x
– 2)(
x
+ 1)
B.
3(
x
– 2)(
x
– 2)(
x
+ 1)
C.
(
x
– 2)(
x
+ 2)(
x
+ 1)
D.
3(
x
– 2)(
x
+ 2)(
x
+ 1)
Hint
12.
Factor 81
x
2
– 225.
A.
9(9
x
– 25)(9
x
+ 25)
B.
It is prime.
C.
9(9
x
– 5)(9
x
+ 5)
D.
9(3
x
– 5)(3
x
+ 5)
Hint