1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
28
b
6
B.
56
a
28
b
6
C.
15
a
11
b
7
D.
56
a
11
b
7
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
-
b
2
C.
D.
Hint
4.
Express 47.5 × 10
-5
in scientific notation.
A.
475 × 10
-6
B.
4.75 × 10
-4
C.
0.475 × 10
-3
D.
4.75 × 10
-6
Hint
5.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
2
– 8
x
– 6
C.
9
x
– 6
D.
11
x
4
– 2
x
2
– 6
Hint
6.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
- 56
rs
+ 49
s
2
B.
16
r
2
+ 49
s
2
C.
16
r
2
+ 56
rs
+ 49
s
2
D.
16
r
2
- 49
s
2
Hint
7.
Simplify ((2
2
)
3
)
4
.
A.
2
20
= 1,048,576
B.
2
12
= 4096
C.
2
24
=16,777,216
D.
2
9
= 512
Hint
8.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
4
B.
1.32 × 10
6
C.
1.32 × 10
5
D.
1.5 × 10
4
Hint
9.
What is the degree of 3
a
– 4
a
2
b
3
+
b
3
– 4
a
b
?
A.
2
B.
1
C.
5
D.
3
Hint
10.
How can the polynomial
x
2
y
2
+ 2
y
3
– 5
x
y
4
+
x
3
be written with powers of
x
in descending order?
A.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
B.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
C.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
D.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
Hint
11.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
3
x
+
y
B.
6
x
+ 3
y
C.
3
x
D.
23
x
+ 5
y
Hint
12.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
–6
k
3
+ 4
k
2
+ 27
k
B.
–6
k
3
+ 4
k
2
– 5
k
C.
6
k
3
+ 4
k
2
+ 27
k
D.
6
k
3
+ 4
k
2
– 5
k
Hint
13.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
2000 + 100
x
B.
2000
C.
2100
D.
100
x
Hint
14.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
8
x
2
– 17
x
+ 3
B.
4
x
3
+ 4
x
2
– 17
x
– 3
C.
8
x
2
– 17
x
– 3
D.
4
x
3
+ 4
x
2
– 17
x
+ 3
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 5
B.
6
x
2
+ 5
x
– 6
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 9
x
– 6
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
– 24
n
– 9
B.
16
n
2
+ 9
C.
16
n
2
+ 24
n
– 9
D.
16
n
2
– 9
Hint