1.
A number is divisible by 6 if ______.
A.
the number is divisible by 2 and 3
B.
the ones digit is divisible by 2, and the tens digit is divisible by 3
C.
the last two digits are divisible by 2 and 3
D.
the sum of the digits is divisible by 6
Hint
2.
Write x
6
as a multiplication expression.
A.
6 · 6 · 6 · 6 · 6 · 6
B.
C.
x
·
x
·
x
·
x
· x ·
x
D.
6
x
Hint
3.
In the expression (-4)
2
, -4 is called the ______.
A.
base
B.
product
C.
power
D.
exponent
Hint
4.
Find 3
2
· 3
4
.
A.
3
6
B.
3
8
C.
3
9
D.
3
2
Hint
5.
Simplify the expression (-4
a
2
)(3
a
2
).
A.
-12
a
4
B.
12
a
2
C.
12
a
-2
D.
-1
a
4
Hint
6.
Express 7
-3
using positive exponents.
A.
(-7)
3
B.
C.
D.
Hint
7.
The number 97 is divisible by which of the following?
A.
5
B.
3
C.
6
D.
None of these
Hint
8.
Factor 50
x
4
y
.
A.
2 · 5 · 5 ·
x
·
x
·
x
·
y
B.
2 · 5
2
·
x
2
·
x
2
·
y
C.
2 · 5 · 5 ·
x
·
x
·
x
·
x
·
y
D.
2 · 5
2
·
x
4
·
y
Hint
9.
Factor –15
x
2
.
A.
3 · 5 ·
x
·
x
B.
-1 · 3 · 5 ·
x
·
x
C.
-1 · 3 · 5 ·
x
2
D.
3 · 5 ·
x
2
Hint
10.
Find the GCF of 16
a
3
b
2
and 12
a
2
b
.
A.
2
ab
B.
4
ab
C.
2
a
2
b
D.
4
a
2
b
Hint
11.
Find the GCF of 17
r
4
s
4
and 23
r
s
4
.
A.
r
s
4
B.
17
r
s
4
C.
r
4
s
4
D.
rs
Hint
12.
Which fraction is
written in simplest form?
A.
B.
C.
D.
Already simplified
Hint
13.
Simplify
A.
B.
C.
Already simplified
D.
Hint
14.
Evaluate
x
-4
if
x
= 3.
A.
B.
81
C.
D.
-81
Hint
15.
Express 35,329 in scientific notation.
A.
3.5329 × 10
5
B.
35.329 × 10
3
C.
3.5329 × 10
4
D.
3.5329 × 10
-4
Hint
16.
Express 0.00186 in scientific notation.
A.
1.86 × 10
-5
B.
1.86 × 10
-3
C.
1.86 × 10
-4
D.
1.86 × 10
3
Hint