1.
Find the GCF of 24, 36, and 108.
A.
12
B.
24
C.
6
D.
72
Hint
2.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
B.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
C.
a
2
b
(20
a
2
b
- 15 + 30
a
)
D.
5
ab
(4
a
3
b
- 3 + 6
a
)
Hint
3.
Factor 4
y
2
– 9.
A.
(2
y
– 3)(2
y
– 3)
B.
(2
y
+ 3)(2
y
+ 3)
C.
prime
D.
(2
y
+ 3)(2
y
– 3)
Hint
4.
Factor
x
2
– 8
x
+ 16.
A.
(
x
+ 4)
2
B.
(
x
+ 4)(
x
– 4)
C.
(
x
- 8)
2
D.
(
x
- 4)
2
Hint
5.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 0 or
x
= 2
B.
x
= 2
C.
x
= 0 or
x
= -2
D.
x
= 0
Hint
6.
Solve 4
y
2
– 25 = 0.
A.
or
B.
C.
D.
Hint
7.
Is 57 prime or composite? If it is composite, what is its factorization?
A.
prime
B.
composite, 2 × 29
C.
composite, 3 × 17
D.
composite, 3 × 19
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.
Their sum is equal to
c
, and their product is equal to
b
.
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.
The product of
b
and
c
is equal to the sum of m and
n
.
Hint
9.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
B.
2
x
– 10
C.
4
x
– 20
D.
2
x
Hint
10.
Factor 4
x
2
– 14
x
– 8.
A.
2(2
x
+ 1)(
x
– 4)
B.
(2
x
+ 1)(
x
– 4)
C.
2(2
x
+ 1)(
x
– 2)
D.
(2
x
+ 1)(
x
– 2)
Hint
11.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
Hint
12.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint