1.
A number is divisible by 6 if ______.
A.
the sum of the digits is divisible by 6
B.
the number is divisible by 2 and 3
C.
the ones digit is divisible by 2, and the tens digit is divisible by 3
D.
the last two digits are divisible by 2 and 3
Hint
2.
Determine which expression is not a monomial.
A.
-14(-
st
)(3
u
)
B.
12
w
(
xy
+
z
)
C.
17
p
(-
qr
)
D.
ab
Hint
3.
Write the expression 4 · 4 · 4 · 4 · 4 using exponents.
A.
5
5
B.
5
4
C.
4
4
D.
4
5
Hint
4.
Find
y
for
y
=
x
2
- 15 if
x
= 6.
A.
49
B.
21
C.
-3
D.
51
Hint
5.
Find the greatest common factor of 168 and 288.
A.
2
B.
24
C.
48
D.
36
Hint
6.
What is the greatest common factor of 18
mn
2
, 54
m
4
, and 80
n
3
?
A.
9
mn
B.
2
mn
2
C.
18
m
2
n
3
D.
2
Hint
7.
Express the ratio 12
gh
:30
h
2
g
in simplest form.
A.
B.
C.
D.
Hint
8.
Simplify
A.
B.
C.
D.
2
ab
2
Hint
9.
Write the prime factorization of 756.
A.
2
2
· 3 · 63
B.
2
3
· 3
3
· 7
C.
2
2
· 3
3
· 7
D.
2 · 3
5
· 7
Hint
10.
Write the prime factorization of 500.
A.
2
4
· 5
2
B.
2
3
· 5
2
C.
2
2
· 5
3
D.
5 · 10
2
Hint
11.
Simplify
A.
B.
Already simplified
C.
D.
Hint
12.
Find
A.
x
8
B.
1
3
C.
1
8
D.
x
3
Hint
13.
Write the expression
m
-7
using a positive exponent.
A.
B.
C.
m
7
D.
-
m
7
Hint
14.
Write
as an expression using a negative exponent.
A.
B.
C.
-2
6
D.
2
-6
Hint
15.
Express 35,329 in scientific notation.
A.
3.5329 × 10
4
B.
35.329 × 10
3
C.
3.5329 × 10
-4
D.
3.5329 × 10
5
Hint
16.
Express 0.00186 in scientific notation.
A.
1.86 × 10
-5
B.
1.86 × 10
-4
C.
1.86 × 10
-3
D.
1.86 × 10
3
Hint