1.
The number 64 is divisible by which of the following?
A.
4
B.
6
C.
5
D.
3
Hint
2.
Express 130,254 in expanded form.
A.
(1 × 10
5
) + (30 × 10
4
) + (2 × 10
2
) + (5 × 10
1
) + (4 × 10
0
)
B.
(1 × 10
5
) + (3 × 10
4
) + (2 × 10
2
) + (5 × 10
1
) + (4 × 10
0
)
C.
(1 × 10
5
) + (3 × 10
4
) + (2 × 10
3
) + (5 × 10
2
) + (4 × 10
1
)
D.
(1 × 10
6
) + (3 × 10
5
) + (2 × 10
3
) + (5 × 10
2
) + (4 × 10
1
)
Hint
3.
Write
in simple form.
A.
B.
C.
D.
Hint
4.
Express the ratio 12
gh
:30
h
2
g
in simplest form.
A.
B.
C.
D.
Hint
5.
Write a
2
b
-3
using positive exponents.
A.
B.
C.
D.
Hint
6.
The number 462 is divisible by which of the following?
A.
5
B.
None of these
C.
6
D.
10
Hint
7.
Evaluate 7(
a
–
b
)
3
if
a
= 3 and
b
= 1.
A.
8
B.
42
C.
28
D.
56
Hint
8.
Write the prime factorization of 756.
A.
2
2
· 3
3
· 7
B.
2
2
· 3 · 63
C.
2 · 3
5
· 7
D.
2
3
· 3
3
· 7
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.
Factor 15
x
3
- 5
x
2
.
A.
x
2
(15
x
– 5)
B.
x
(15
x
2
- 5
x
)
C.
5
x
(3
x
2
- x)
D.
5
x
2
(3
x
– 1)
Hint
11.
The area of a rectangle can be written by the expression 24
x
4
+ 18
x
3
. Find a set of possible dimensions for this rectangle.
A.
3 by 8
x
3
+ 6
x
3
B.
2
x
4
by 12 + 9
x
C.
6
x
3
by 4
x
+ 3
D.
24
x
3
by
x
+ 18
Hint
12.
Find (14
b
5
)(-1
b
6
).
A.
-14
b
30
B.
-14
b
11
C.
14
b
30
D.
14
b
11
Hint
13.
Find
A.
1
3
B.
1
8
C.
x
3
D.
x
8
Hint
14.
Write the expression
m
-7
using a positive exponent.
A.
B.
C.
-
m
7
D.
m
7
Hint
15.
Express 2.629 × 10
7
in standard form.
A.
2,629
B.
26,290,000
C.
2,629,000
D.
0.0000002629
Hint
16.
Express 1,000,000 in scientific notation.
A.
1 × 10
-6
B.
1 × 10
7
C.
1 × 10
5
D.
1 × 10
6
Hint