1.
Simplify (4
y
4
)
3
.
A.
64
y
12
B.
12
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.
Simplify
Assume the denominator is not equal to zero.
A.
B.
1
C.
5
xy
8
D.
5
xy
2
Hint
4.
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
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
C.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
5.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
6.
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.
9
x
2
y
4
+ 12
x
4
y
3
D.
6
xy
2
+ 7
x
3
y
Hint
7.
Write an expression for the area of the rectangle.
A.
x
3
+ 4
x
2
– 27
x
+ 40
B.
x
3
- 4
x
C.
x
2
- 3
x
+ 13
D.
9
x
2
– 31
x
+ 40
Hint
8.
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.
x
4
D.
Hint
9.
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
10.
Express 4.67 × 10
-7
in standard notation.
A.
0.00000467
B.
46,700,000
C.
0.000000467
D.
0.0000000467
Hint
11.
How can the polynomial
x
2
y
2
+ 2
y
3
– 5
x
y
4
+
x
3
be written with powers of
x
in descending order?
A.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
B.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
C.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
D.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
Hint
12.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
+ 5
B.
–5
x
2
+
x
+ 5
C.
–5
x
2
+ 9
x
– 7
D.
–5
x
2
+
x
– 7
Hint
13.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= 4
B.
x
= 3
C.
x
= –2
D.
x
= 2
Hint
14.
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
15.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 8
x
+ 16
B.
x
2
+ 8
x
+ 8
C.
x
2
+ 4
x
+ 16
D.
2
x
+ 8
Hint
16.
Find the product (3
k
2
– 2
k
)
2
.
A.
9
k
4
– 12
k
3
+ 4
k
2
B.
9
k
4
– 6
k
3
– 4
k
2
C.
9
k
4
– 6
k
3
+ 4
k
2
D.
9
k
4
– 12
k
3
– 4
k
2
Hint