1.
Simplify (4
y
4
)
3
.
A.
12
y
12
B.
12
y
3
C.
64
y
64
D.
64
y
12
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
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.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
4.
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
+ 3
xy
2
C.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
Hint
5.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 7
x
3
y
B.
12
xy
2
+ 4
x
3
y
C.
6
xy
2
+ 4
x
3
y
D.
9
x
2
y
4
+ 12
x
4
y
3
Hint
6.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 43
y
- 35
B.
12
y
2
– 13
y
+ 35
C.
12
y
2
– 43
y
+ 35
D.
12
y
2
+ 35
Hint
7.
Factor
x
2
– 8
x
+ 16.
A.
(
x
+ 4)
2
B.
(
x
- 4)
2
C.
(
x
- 8)
2
D.
(
x
+ 4)(
x
– 4)
Hint
8.
Find
.
A.
B.
C.
D.
Hint
9.
Write an expression for the area of the rectangle.
A.
x
2
- 3
x
+ 13
B.
x
3
+ 4
x
2
– 27
x
+ 40
C.
9
x
2
– 31
x
+ 40
D.
x
3
- 4
x
Hint
10.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
27
12
B.
81
6
C.
9
6
D.
9
9
Hint
11.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 7
x
+ 8
C.
–4
x
4
– 7
x
3
+ 8
x
2
D.
–4
x
2
– 12
x
+ 8
Hint
12.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
– 3)
B.
23
x
(
x
2
– 3)
C.
23
x
(
x
+ 3)
D.
23
x
(
x
2
+ 3)
Hint
13.
A number is multiplied by 3, increased by 14 and then multiplied by 5. The final number is 325. What is the original number?
A.
17
B.
26
C.
21
D.
19
Hint
14.
A number is increased by 13, multiplied by 6 and then divided by 2. The final number is 108. What is the original number?
A.
14
B.
23
C.
-4
D.
16
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint