1.
Simplify (4
y
4
)
3
.
A.
64
y
64
B.
12
y
3
C.
12
y
12
D.
64
y
12
Hint
2.
Simplify (3
a
4
b
5
c
)
4
.
A.
3
a
16
b
20
c
4
B.
12
a
8
b
9
c
5
C.
7
a
16
b
20
c
4
D.
81
a
16
b
20
c
4
Hint
3.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
B.
8
x
8
y
3
C.
2
x
2
y
D.
Hint
4.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
1.728 × 10
3
B.
17.28 × 10
4
C.
0.1728 × 10
6
D.
1.728 × 10
5
Hint
5.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
4
B.
3
C.
0
D.
5
Hint
6.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
B.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
C.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
7.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
B.
C.
x
= 5
D.
Hint
8.
Write an expression for the area of the rectangle shown below.
A.
9
x
2
y
4
+ 12
x
4
y
3
B.
6
xy
2
+ 4
x
3
y
C.
6
xy
2
+ 7
x
3
y
D.
12
xy
2
+ 4
x
3
y
Hint
9.
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
10.
Simplify
.
A.
x
3
y
B.
x
3
y
2
C.
x
2
y
2
D.
x
2
y
Hint
11.
Express 0.000033 in scientific notation.
A.
3.3 × 10
-6
B.
3.3 × 10
5
C.
3.3 × 10
-4
D.
3.3 × 10
-5
Hint
12.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
– 7
B.
3
x
2
+ 5
x
+ 1
C.
5
x
2
+ 5
x
+ 1
D.
5
x
2
+ 5
x
– 7
Hint
13.
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.
6
x
+ 3
y
B.
3
x
+
y
C.
3
x
D.
23
x
+ 5
y
Hint
14.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
8
x
2
– 17
x
– 3
B.
8
x
2
– 17
x
+ 3
C.
4
x
3
+ 4
x
2
– 17
x
+ 3
D.
4
x
3
+ 4
x
2
– 17
x
– 3
Hint
15.
A rectangle has a base of 4
x
– 1 and a height of 3
x
+ 2. What is the area?
A.
12
x
2
+ 5
x
– 2
B.
12
x
2
– 5
x
– 2
C.
12
x
2
– 5
x
+ 2
D.
12
x
2
+ 5
x
+ 2
Hint
16.
Find the product (3
x
+ 3)
2
.
A.
6
x
2
+ 12
x
+ 9
B.
6
x
2
+ 18
x
+ 9
C.
9
x
2
+ 18
x
+ 9
D.
9
x
2
+ 12
x
+ 9
Hint