1.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
2.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
B.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
C.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
3.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
B.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
C.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
Hint
4.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -2
B.
C.
a
= -6
D.
a
= -1
Hint
5.
Find the quotient
.
A.
B.
C.
D.
Hint
6.
Simplify ((2
2
)
3
)
4
.
A.
2
9
= 512
B.
2
24
=16,777,216
C.
2
12
= 4096
D.
2
20
= 1,048,576
Hint
7.
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.
6
x
2
y
2
C.
D.
Hint
8.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
+ 5
B.
–5
x
2
+
x
– 7
C.
–5
x
2
+
x
+ 5
D.
–5
x
2
+ 9
x
– 7
Hint
9.
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation
A
= –10
x
2
+ 15
x
+ 22, where
A
is height and
x
is the time in seconds. The height of Sanford's throw can represented by the equation
S
= –9
x
2
+ 14
x
+ 23. At time
x
, how much higher is Sanford's throw?
A.
x
2
+
x
+ 1
B.
x
2
–
x
+ 1
C.
x
2
+
x
– 1
D.
x
2
–
x
– 1
Hint
10.
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.
5 uses
C.
20 uses
D.
10 uses
Hint
11.
Factor
A.
B.
C.
D.
Hint
12.
Factor
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint