1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
12
x
8
C.
7
x
15
D.
12
x
15
Hint
2.
Simplify
x
3
y
0
z
-2
.
A.
B.
0
C.
D.
-
x
3
yz
2
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
-
b
2
Hint
4.
Express 47.5 × 10
-5
in scientific notation.
A.
4.75 × 10
-6
B.
0.475 × 10
-3
C.
4.75 × 10
-4
D.
475 × 10
-6
Hint
5.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
5
B.
0
C.
3
D.
4
Hint
6.
Find the polynomial that represents the measure of the perimeter of the triangle.
A.
15
xy
2
B.
7
xy
2
+ 10
x
– 2
y
C.
5
xy
2
+ 10
x
D.
7
x
3
y
6
+ 10
x
2
– 2
y
Hint
7.
Find (
x
+ 3)(
x
- 5).
A.
x
2
+ 2
x
- 15
B.
x
2
+ 8
x
- 15
C.
x
2
- 15
D.
x
2
- 2
x
- 15
Hint
8.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
+ 4
w
2
B.
25
t
4
– 10
t
2
w
+ 4
w
2
C.
25
t
4
– 4
w
2
D.
25
t
4
– 20
t
2
w
+ 4
w
2
Hint
9.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
x
4
B.
C.
6
x
2
y
2
D.
Hint
10.
Express the result of
in
scientific
notation.
A.
3430
B.
3.43 × 10
3
C.
3.43 × 10
2
D.
343
Hint
11.
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
– 5
x
y
4
+ 2
y
3
B.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
C.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
D.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
Hint
12.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
– 7
B.
–5
x
2
+
x
+ 5
C.
–5
x
2
+
x
– 7
D.
–5
x
2
+ 9
x
+ 5
Hint
13.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
6
k
3
+ 4
k
2
– 5
k
B.
–6
k
3
+ 4
k
2
+ 27
k
C.
6
k
3
+ 4
k
2
+ 27
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
14.
A cafeteria has two meal plans. One requires the worker to pay $20 for the card, and $1 each time
x
she uses it. The other plan requires the worker to pay $30 for the card, but only $0.50 each time
x
she uses it. After how many uses will the workers with different plans have spent the same amount of money?
A.
It will never happen.
B.
10 uses
C.
20 uses
D.
5 uses
Hint
15.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
6
x
2
+ 7
x
– 3
B.
3
x
2
+
x
C.
5
x
2
+ 7
x
– 3
D.
x
2
+
x
– 3
Hint
16.
Find the product (3
x
+ 3)
2
.
A.
9
x
2
+ 12
x
+ 9
B.
9
x
2
+ 18
x
+ 9
C.
6
x
2
+ 12
x
+ 9
D.
6
x
2
+ 18
x
+ 9
Hint