1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
11
b
7
B.
15
a
28
b
6
C.
56
a
11
b
7
D.
56
a
28
b
6
Hint
2.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
8
x
5
y
7
z
9
B.
24
x
5
y
7
z
9
C.
32
x
5
y
7
z
9
D.
32
x
6
y
6
z
9
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
-
x
3
yz
2
B.
C.
D.
0
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
-
b
2
C.
D.
Hint
5.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
17.28 × 10
4
B.
0.1728 × 10
6
C.
1.728 × 10
3
D.
1.728 × 10
5
Hint
6.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
4
B.
3
C.
0
D.
5
Hint
7.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
B.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
8.
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.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
B.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
Hint
9.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -1
C.
a
= -6
D.
a
= -2
Hint
10.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 9
B.
x
2
+ 9
C.
x
2
- 6
x
+ 9
D.
x
2
- 6
x
- 9
Hint
11.
Express the result of
in
scientific
notation.
A.
343
B.
3.43 × 10
3
C.
3430
D.
3.43 × 10
2
Hint
12.
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
– 2
x
+ 5
B.
x
2
– 5
x
C.
4
x
D.
x
2
– 10
x
Hint
13.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 12
x
+ 8
C.
–4
x
2
– 7
x
+ 8
D.
–4
x
4
– 7
x
3
+ 8
x
2
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.
3
x
2
+
x
C.
x
2
+
x
– 3
D.
5
x
2
+ 7
x
– 3
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 6
B.
6
x
2
+ 9
x
– 5
C.
6
x
2
+ 9
x
– 6
D.
6
x
2
+ 5
x
– 5
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
– 24
n
– 9
B.
16
n
2
+ 9
C.
16
n
2
– 9
D.
16
n
2
+ 24
n
– 9
Hint