1.
Simplify (4
x
3
) (3
x
5
).
A.
12
x
8
B.
7
x
8
C.
7
x
15
D.
12
x
15
Hint
2.
Simplify (3
a
4
b
5
c
)
4
.
A.
7
a
16
b
20
c
4
B.
3
a
16
b
20
c
4
C.
81
a
16
b
20
c
4
D.
12
a
8
b
9
c
5
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
B.
0
C.
-
x
3
yz
2
D.
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
5.
Express 765,000,000,000 in scientific notation.
A.
0.765 × 10
12
B.
7.65 × 10
11
C.
7.65 × 10
10
D.
7.65 × 10
-11
Hint
6.
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.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
B.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
C.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
7.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
B.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
C.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
D.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
Hint
8.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -2
B.
a
= -1
C.
a
= -6
D.
Hint
9.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
+ 9
B.
x
2
+ 9
C.
x
2
- 6
x
- 9
D.
x
2
- 9
Hint
10.
Express the result of
in
scientific
notation.
A.
3.43 × 10
3
B.
3.43 × 10
2
C.
343
D.
3430
Hint
11.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
x
2
– 10
x
B.
x
2
– 5
x
C.
x
2
– 2
x
+ 5
D.
4
x
Hint
12.
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
13.
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.
3
x
C.
6
x
+ 3
y
D.
23
x
+ 5
y
Hint
14.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
6
x
2
+ 7
x
– 3
B.
x
2
+
x
– 3
C.
3
x
2
+
x
D.
5
x
2
+ 7
x
– 3
Hint
15.
A rectangle has a base of 4
x
– 1 and a height of 3
x
+ 2. What is the area?
A.
12
x
2
+ 5
x
+ 2
B.
12
x
2
+ 5
x
– 2
C.
12
x
2
– 5
x
– 2
D.
12
x
2
– 5
x
+ 2
Hint
16.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 8
x
+ 16
B.
x
2
+ 4
x
+ 16
C.
2
x
+ 8
D.
x
2
+ 8
x
+ 8
Hint