1.
Which of the following values is prime?
A.
96
B.
81
C.
72
D.
53
Hint
2.
Factor 54
x
3
y
2
A.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
B.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
C.
2 · 27 ·
x
·
x
·
x
·
y
·
y
D.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
Hint
3.
Factor 3
x
3
+ 2
x
2
y
+ 3
xy
2
+ 2
y
3
A.
(3
x
+ 2
y
)(
x
+
y
)(
x
-
y
)
B.
x
2
(3
x
+ 2
y
) +
y
2
(3
x
+ 2
y
)
C.
(
x
2
+
y
2
)(3
x
+ 2
y
)
D.
xy
(3
x
2
+ 2
x
+ 3
y
+ 2
y
2
)
Hint
4.
Factor
r
4
– 81.
A.
(
r
2
+ 9)(
r
+ 3)(
r
- 3)
B.
(
r
2
+ 9)(
r
2
+ 9)
C.
prime
D.
(
r
+ 3)
2
(
r
+ 3)
2
Hint
5.
Factor
A.
B.
C.
prime
D.
Hint
6.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 2
B.
x
= 0 or
x
= -2
C.
x
= 0 or
x
= 2
D.
x
= 0
Hint
7.
Solve
a
2
– 12
a
= -27.
A.
a
= 3
B.
a
= 9
C.
a
= 3 or
a
= 9
D.
a
= -27 or
a
= -15
Hint
8.
When factoring quadratic trinomials of the form
x
2
+
b
x
+
c
, what is true about
m
and
n
if the factored form is (
x
+ m)(
x
+
n
)?
A.
The product of
b
and
c
is equal to the sum of m and
n
.
B.
Their sum is equal to
b
, and their product is equal to
c
.
C.
The sum of
b
and
c
is equal to the product of m and
n
.
D.
Their sum is equal to
c
, and their product is equal to
b
.
Hint
9.
Factor 5
x
2
+ 13
x
– 6.
A.
(5
x
+ 2)(
x
– 3)
B.
(5
x
+ 3)(
x
– 2)
C.
(5
x
– 2)(
x
+ 3)
D.
not factorable
Hint
10.
Factor 4
x
2
– 14
x
– 8.
A.
2(2
x
+ 1)(
x
– 4)
B.
(2
x
+ 1)(
x
– 2)
C.
2(2
x
+ 1)(
x
– 2)
D.
(2
x
+ 1)(
x
– 4)
Hint
11.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–3, 3}
B.
{–7}
C.
{3}
D.
{–7, 3}
Hint