1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
28
b
6
B.
56
a
28
b
6
C.
15
a
11
b
7
D.
56
a
11
b
7
Hint
2.
Simplify (4
y
4
)
3
.
A.
64
y
64
B.
64
y
12
C.
12
y
12
D.
12
y
3
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Express 765,000,000,000 in scientific notation.
A.
7.65 × 10
10
B.
7.65 × 10
11
C.
0.765 × 10
12
D.
7.65 × 10
-11
Hint
5.
Express 0.034 × 10
7
in scientific notation.
A.
0.34 × 10
6
B.
3.4 × 10
5
C.
3.4 × 10
9
D.
34 × 10
4
Hint
6.
Find the difference (-7
x
4
y
2
– 3
x
2
y
+ 2
xy
2
– 5) – (4
x
4
y
2
–
xy
2
– 5).
A.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
B.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
Hint
7.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 12
ab
+ 16
b
2
B.
9
a
2
+ 16
b
2
C.
3
a
2
+ 24
ab
+ 4
b
2
D.
9
a
2
+ 24
ab
+ 16
b
2
Hint
8.
Simplify
.
A.
x
2
y
2
B.
x
3
y
2
C.
x
2
y
D.
x
3
y
Hint
9.
What is the degree of 3
a
– 4
a
2
b
3
+
b
3
– 4
a
b
?
A.
5
B.
1
C.
3
D.
2
Hint
10.
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
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
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
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
Hint
11.
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
12.
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
13.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= 2
B.
x
= –2
C.
x
= 4
D.
x
= 3
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.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 5
B.
6
x
2
+ 5
x
– 6
C.
6
x
2
+ 9
x
– 6
D.
6
x
2
+ 5
x
– 5
Hint
16.
Which of the following is a difference of two squares?
A.
x
2
– 8
x
– 16
B.
x
2
+ 36
C.
x
2
– 9
D.
x
2
+ 6x + 9
Hint