1.
Determine which expression is not a monomial.
A.
12
w
(
xy
+
z
)
B.
ab
C.
-14(-
st
)(3
u
)
D.
17
p
(-
qr
)
Hint
2.
Evaluate the expression 4
n
+
m
2
if
m
= 6 and
n
= 8.
A.
44
B.
40
C.
68
D.
88
Hint
3.
Express 130,254 in expanded form.
A.
(1 × 10
5
) + (3 × 10
4
) + (2 × 10
3
) + (5 × 10
2
) + (4 × 10
1
)
B.
(1 × 10
5
) + (3 × 10
4
) + (2 × 10
2
) + (5 × 10
1
) + (4 × 10
0
)
C.
(1 × 10
5
) + (30 × 10
4
) + (2 × 10
2
) + (5 × 10
1
) + (4 × 10
0
)
D.
(1 × 10
6
) + (3 × 10
5
) + (2 × 10
3
) + (5 × 10
2
) + (4 × 10
1
)
Hint
4.
What is the greatest common factor of 45, 75, and 135?
A.
15
B.
5
C.
25
D.
9
Hint
5.
What is the greatest common factor of 18
mn
2
, 54
m
4
, and 80
n
3
?
A.
2
B.
18
m
2
n
3
C.
2
mn
2
D.
9
mn
Hint
6.
Which fraction can be expressed as
in simplest form?
A.
B.
C.
D.
Hint
7.
Simplify
A.
B.
C.
D.
Hint
8.
Simplify
A.
B.
2
ab
2
C.
D.
Hint
9.
The diameter of a volcanic particle averaged 0.000022 meter. What is this measure written in scientific notation?
A.
0.22 × 10
-4
B.
2.2 × 10
C.
2.2 × 10
-5
D.
2.2 × 10
5
Hint
10.
The number 97 is divisible by which of the following?
A.
3
B.
5
C.
None of these
D.
6
Hint
11.
Factor 50
x
4
y
.
A.
2 · 5 · 5 ·
x
·
x
·
x
·
y
B.
2 · 5
2
·
x
4
·
y
C.
2 · 5 · 5 ·
x
·
x
·
x
·
x
·
y
D.
2 · 5
2
·
x
2
·
x
2
·
y
Hint
12.
Factor 39
x
2
y
3
.
A.
3 · 13 ·
x
2
·
y
2
·
y
B.
3 · 13 ·
x
·
x
·
y
·
y
·
y
C.
3 · 13 ·
x
·
y
·
y
·
y
D.
39 ·
x
·
x
·
y
·
y
·
y
Hint
13.
Find 6
3
· 6
2
.
A.
36
6
B.
6
6
C.
6
5
D.
36
5
Hint
14.
Write the expression 5
-4
using a positive exponent.
A.
B.
5
4
C.
-5
4
D.
Hint
15.
Write
as an expression using a negative exponent.
A.
B.
2
-6
C.
D.
-2
6
Hint
16.
Express 35,329 in scientific notation.
A.
35.329 × 10
3
B.
3.5329 × 10
4
C.
3.5329 × 10
-4
D.
3.5329 × 10
5
Hint