1.
Simplify (4
x
3
) (3
x
5
).
A.
12
x
15
B.
7
x
15
C.
12
x
8
D.
7
x
8
Hint
2.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
6
a
17
b
7
c
6
B.
72
a
17
b
7
c
6
C.
36
a
17
b
7
c
6
D.
17
a
12
b
8
c
5
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
0
B.
C.
D.
-
x
3
yz
2
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
5.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
0
B.
3
C.
5
D.
4
Hint
6.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
9
x
– 6
B.
11
x
2
– 2
x
– 6
C.
11
x
2
– 8
x
– 6
D.
11
x
4
– 2
x
2
– 6
Hint
7.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
10
a
3
+ 4
a
2
B.
14
a
3
+ 2
a
2
C.
2
a
2
+ 10
a
D.
14
a
2
+ 2
a
Hint
8.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -6
C.
a
= -2
D.
a
= -1
Hint
9.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
– 4
w
2
B.
25
t
4
+ 4
w
2
C.
25
t
4
– 10
t
2
w
+ 4
w
2
D.
25
t
4
– 20
t
2
w
+ 4
w
2
Hint
10.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
5
B.
1.32 × 10
6
C.
1.32 × 10
4
D.
1.5 × 10
4
Hint
11.
Express 4.67 × 10
-7
in standard notation.
A.
0.000000467
B.
0.0000000467
C.
0.00000467
D.
46,700,000
Hint
12.
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
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.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
8
x
2
– 17
x
– 3
B.
4
x
3
+ 4
x
2
– 17
x
– 3
C.
4
x
3
+ 4
x
2
– 17
x
+ 3
D.
8
x
2
– 17
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.
Find the product (3
x
+ 3)
2
.
A.
9
x
2
+ 18
x
+ 9
B.
9
x
2
+ 12
x
+ 9
C.
6
x
2
+ 18
x
+ 9
D.
6
x
2
+ 12
x
+ 9
Hint