1.
Simplify (4
y
4
)
3
.
A.
12
y
12
B.
64
y
12
C.
64
y
64
D.
12
y
3
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
0.1728 × 10
6
B.
17.28 × 10
4
C.
1.728 × 10
3
D.
1.728 × 10
5
Hint
4.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
4
B.
0
C.
5
D.
3
Hint
5.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
B.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
C.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
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
– 3
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
4
xy
2
– 7
xy
– 3
Hint
7.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
B.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
C.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
Hint
8.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
10
a
3
+ 4
a
2
C.
14
a
3
+ 2
a
2
D.
2
a
2
+ 10
a
Hint
9.
Find (
x
- 4)
2
.
A.
x
2
- 16
B.
x
2
+ 16
C.
x
2
- 4
x
+ 16
D.
x
2
- 8
x
+ 16
Hint
10.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
- 9
B.
x
2
- 9
C.
x
2
+ 9
D.
x
2
- 6
x
+ 9
Hint
11.
Write an expression for the area of the rectangle.
A.
9
x
2
– 31
x
+ 40
B.
x
3
+ 4
x
2
– 27
x
+ 40
C.
x
2
- 3
x
+ 13
D.
x
3
- 4
x
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.
x
4
B.
C.
D.
6
x
2
y
2
Hint
13.
Simplify
.
A.
x
6
y
3
B.
x
26
y
3
C.
x
24
y
19
D.
x
3
y
3
Hint
14.
Express 0.000033 in scientific notation.
A.
3.3 × 10
-6
B.
3.3 × 10
-4
C.
3.3 × 10
-5
D.
3.3 × 10
5
Hint
15.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
23
x
+ 5
y
B.
3
x
C.
3
x
+
y
D.
6
x
+ 3
y
Hint
16.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 5
B.
6
x
2
+ 9
x
– 6
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 5
x
– 6
Hint