1.
Choose a tens digit for 2?6 so that the three-digit number is divisible by 6.
A.
2
B.
1
C.
3
D.
0
Hint
2.
Solve
x
= 3
4
.
A.
x
= 64
B.
x
= 27
C.
x
= 81
D.
x
= 12
Hint
3.
Factor 144 completely.
A.
2 · 2 · 2 · 2 · 3 · 3
B.
3 · 3 · 4 · 4
C.
4 · 4 · 9
D.
12 · 12
Hint
4.
Find the greatest common factor of 168 and 288.
A.
36
B.
2
C.
24
D.
48
Hint
5.
Find the greatest common factor of 64
ab
3
c
2
and 48
a
2
b
2
c
.
A.
16
abc
B.
16
ab
2
c
C.
8
ab
3
c
D.
8
a
2
b
2
c
2
Hint
6.
Simplify
A.
B.
C.
D.
Hint
7.
Simplify
A.
2
ab
2
B.
C.
D.
Hint
8.
Express 7
-3
using positive exponents.
A.
B.
(-7)
3
C.
D.
Hint
9.
Write 0.478 in scientific notation.
A.
4.78 × 10
-2
B.
478 × 10
1
C.
4.78 × 10
2
D.
4.78 × 10
-1
Hint
10.
The diameter of a volcanic particle averaged 0.000022 meter. What is this measure written in scientific notation?
A.
2.2 × 10
B.
2.2 × 10
-5
C.
2.2 × 10
5
D.
0.22 × 10
-4
Hint
11.
The number 462 is divisible by which of the following?
A.
5
B.
None of these
C.
10
D.
6
Hint
12.
Write 3 ·
x
·
x
·
x
·
x
·
y
·
y
·
y
·
y
using exponents.
A.
3
xy
8
B.
3
x
4
y
4
C.
3
4
x
4
y
4
D.
3>
x
4
y
3
Hint
13.
Write the prime factorization of 500.
A.
5 · 10
2
B.
2
2
· 5
3
C.
2
4
· 5
2
D.
2
3
· 5
2
Hint
14.
Which fraction is
written in simplest form?
A.
x
2
yz
B.
Already simplified
C.
D.
Hint
15.
Find 6
3
· 6
2
.
A.
36
5
B.
6
6
C.
6
5
D.
36
6
Hint
16.
Write the expression 5
-4
using a positive exponent.
A.
B.
5
4
C.
-5
4
D.
Hint