1.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
24
x
5
y
7
z
9
B.
8
x
5
y
7
z
9
C.
32
x
5
y
7
z
9
D.
32
x
6
y
6
z
9
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Express 47.5 × 10
-5
in scientific notation.
A.
4.75 × 10
-4
B.
0.475 × 10
-3
C.
475 × 10
-6
D.
4.75 × 10
-6
Hint
4.
Which expression is a binomial?
A.
B.
5
x
2
y
+ 4
x
– 6
C.
-3
xy
D.
5
x
- 2
Hint
5.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
4
B.
3
C.
5
D.
0
Hint
6.
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.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
Hint
7.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -1
B.
C.
a
= -2
D.
a
= -6
Hint
8.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 4
x
3
y
B.
12
xy
2
+ 4
x
3
y
C.
6
xy
2
+ 7
x
3
y
D.
9
x
2
y
4
+ 12
x
4
y
3
Hint
9.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 2
x
- 15
B.
x
2
+ 8
x
- 15
C.
x
2
- 15
D.
x
2
+ 2
x
- 15
Hint
10.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 16
b
2
B.
9
a
2
+ 12
ab
+ 16
b
2
C.
9
a
2
+ 24
ab
+ 16
b
2
D.
3
a
2
+ 24
ab
+ 4
b
2
Hint
11.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
+ 49
s
2
B.
16
r
2
+ 56
rs
+ 49
s
2
C.
16
r
2
- 49
s
2
D.
16
r
2
- 56
rs
+ 49
s
2
Hint
12.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
B.
6
x
2
y
2
C.
D.
x
4
Hint
13.
Simplify
.
A.
B.
C.
D.
Hint
14.
Express 4.67 × 10
-7
in standard notation.
A.
0.000000467
B.
0.00000467
C.
46,700,000
D.
0.0000000467
Hint
15.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
– 7
B.
3
x
2
+ 5
x
– 7
C.
3
x
2
+ 5
x
+ 1
D.
5
x
2
+ 5
x
+ 1
Hint
16.
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