1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
15
B.
12
x
15
C.
12
x
8
D.
7
x
8
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.
C.
D.
Hint
4.
Express 47.5 × 10
-5
in scientific notation.
A.
0.475 × 10
-3
B.
475 × 10
-6
C.
4.75 × 10
-6
D.
4.75 × 10
-4
Hint
5.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
1.728 × 10
5
B.
1.728 × 10
3
C.
0.1728 × 10
6
D.
17.28 × 10
4
Hint
6.
Write an expression for the area of the rectangle shown below.
A.
12
xy
2
+ 4
x
3
y
B.
9
x
2
y
4
+ 12
x
4
y
3
C.
6
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
7.
Find (
x
- 4)
2
.
A.
x
2
- 8
x
+ 16
B.
x
2
+ 16
C.
x
2
- 16
D.
x
2
- 4
x
+ 16
Hint
8.
Simplify ((2
2
)
3
)
4
.
A.
2
24
=16,777,216
B.
2
20
= 1,048,576
C.
2
9
= 512
D.
2
12
= 4096
Hint
9.
What is the degree of 3
a
– 4
a
2
b
3
+
b
3
– 4
a
b
?
A.
1
B.
2
C.
3
D.
5
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
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
B.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
C.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
D.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
Hint
11.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
– 7
B.
3
x
2
+ 5
x
+ 1
C.
5
x
2
+ 5
x
+ 1
D.
3
x
2
+ 5
x
– 7
Hint
12.
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
B.
6
x
+ 3
y
C.
23
x
+ 5
y
D.
3
x
+
y
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.
2100
B.
2000 + 100
x
C.
2000
D.
100
x
Hint
14.
Find the product (
x
2
– 3
x
+6)(2
x
2
+ 3
x
+ 4).
A.
2
x
4
+ 3
x
3
– 5
x
2
+ 6
x
+ 24
B.
2
x
4
– 3
x
3
+ 7
x
2
+ 6
x
+ 24
C.
2
x
4
– 3
x
3
– 5
x
2
+ 6
x
+ 24
D.
2
x
4
+ 3
x
3
+ 7
x
2
+ 6
x
+ 24
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 6
B.
6
x
2
+ 9
x
– 5
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 9
x
– 6
Hint
16.
Find the product (3
k
2
– 2
k
)
2
.
A.
9
k
4
– 6
k
3
+ 4
k
2
B.
9
k
4
– 6
k
3
– 4
k
2
C.
9
k
4
– 12
k
3
+ 4
k
2
D.
9
k
4
– 12
k
3
– 4
k
2
Hint