1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
12
x
15
C.
7
x
15
D.
12
x
8
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
24
a
2
b
7
C.
9
a
4
b
8
D.
24
a
4
b
8
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
B.
-
x
3
yz
2
C.
0
D.
Hint
4.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
5.
Which expression is not a polynomial?
A.
7
y
3
B.
C.
4
x
3
y
2
- 5
xy
+ 7
D.
3
x
2
+ 5
Hint
6.
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.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
B.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
C.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
Hint
7.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
2
a
2
+ 10
a
B.
14
a
2
+ 2
a
C.
14
a
3
+ 2
a
2
D.
10
a
3
+ 4
a
2
Hint
8.
Find (
x
- 4)
2
.
A.
x
2
- 16
B.
x
2
- 4
x
+ 16
C.
x
2
+ 16
D.
x
2
- 8
x
+ 16
Hint
9.
Find (3
a
+ 4
b
)
2
A.
3
a
2
+ 24
ab
+ 4
b
2
B.
9
a
2
+ 12
ab
+ 16
b
2
C.
9
a
2
+ 16
b
2
D.
9
a
2
+ 24
ab
+ 16
b
2
Hint
10.
Write an expression for the area of the rectangle.
A.
x
3
- 4
x
B.
x
2
- 3
x
+ 13
C.
x
3
+ 4
x
2
– 27
x
+ 40
D.
9
x
2
– 31
x
+ 40
Hint
11.
Express 4.67 × 10
-7
in standard notation.
A.
0.000000467
B.
0.00000467
C.
46,700,000
D.
0.0000000467
Hint
12.
Express the result of
in
scientific
notation.
A.
343
B.
3.43 × 10
2
C.
3430
D.
3.43 × 10
3
Hint
13.
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
14.
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
, what is the combined height of the throws?
A.
–
x
2
+
x
– 1
B.
–19
x
2
+ 29
x
+ 45
C.
19
x
2
+ 29
x
+ 45
D.
x
2
–
x
+ 1
Hint
15.
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
– 5
k
C.
–6
k
3
+ 4
k
2
+ 27
k
D.
6
k
3
+ 4
k
2
+ 27
k
Hint
16.
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