1.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
32
x
6
y
6
z
9
B.
8
x
5
y
7
z
9
C.
24
x
5
y
7
z
9
D.
32
x
5
y
7
z
9
Hint
2.
Find the volume of the rectangular solid shown below.
A.
9
a
4
b
8
B.
24
a
4
b
8
C.
24
a
2
b
7
D.
24
a
2
b
10
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
-
x
3
yz
2
B.
0
C.
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.
7.65 × 10
-11
B.
7.65 × 10
10
C.
0.765 × 10
12
D.
7.65 × 10
11
Hint
6.
Express 0.034 × 10
7
in scientific notation.
A.
3.4 × 10
5
B.
3.4 × 10
9
C.
34 × 10
4
D.
0.34 × 10
6
Hint
7.
Which expression is a binomial?
A.
5
x
2
y
+ 4
x
– 6
B.
-3
xy
C.
5
x
- 2
D.
Hint
8.
Which expression is not a polynomial?
A.
7
y
3
B.
4
x
3
y
2
- 5
xy
+ 7
C.
3
x
2
+ 5
D.
Hint
9.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
–
x
2
+ 5
x
- 12
B.
–3
x
3
– 13
x
2
+ 5
x
+ 4
C.
-11
x
8
+ 4
D.
–3
x
3
– 13
x
2
+ 5
x
- 12
Hint
10.
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
+
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
Hint
11.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -6
B.
C.
a
= -1
D.
a
= -2
Hint
12.
Write an expression for the area of the rectangle shown below.
A.
9
x
2
y
4
+ 12
x
4
y
3
B.
12
xy
2
+ 4
x
3
y
C.
6
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
13.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
15
x
3
+ 8
x
2
+ 2
x
+ 24
B.
15
x
3
+ 32
x
2
+ 34
x
+ 24
C.
5
x
2
+
x
+ 10
D.
8
x
2
- 13
x
+ 24
Hint
14.
Find (
x
- 4)
2
.
A.
x
2
- 4
x
+ 16
B.
x
2
+ 16
C.
x
2
- 16
D.
x
2
- 8
x
+ 16
Hint
15.
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
– 20
t
2
w
+ 4
w
2
D.
25
t
4
– 10
t
2
w
+ 4
w
2
Hint
16.
Write an expression for the area of the rectangle.
A.
x
2
- 3
x
+ 13
B.
x
3
- 4
x
C.
9
x
2
– 31
x
+ 40
D.
x
3
+ 4
x
2
– 27
x
+ 40
Hint