1.
Find the area of the parallelogram.
A.
(36
a
2
+ 49
b
2
) cm
2
B.
(36
a
2
- 49
b
2
) cm
2
C.
(36
a
2
- 84
a
b
- 49
b
2
) cm
2
D.
(12
a
2
+ 14
b
2
) cm
2
Hint
2.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
72
a
17
b
7
c
6
B.
6
a
17
b
7
c
6
C.
36
a
17
b
7
c
6
D.
17
a
12
b
8
c
5
Hint
3.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
7
B.
9
a
4
b
8
C.
24
a
2
b
10
D.
24
a
4
b
8
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
-
b
2
Hint
5.
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.
D.
2
x
2
y
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
– 7
xy
– 3
D.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
Hint
7.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
10
a
3
+ 4
a
2
B.
14
a
2
+ 2
a
C.
14
a
3
+ 2
a
2
D.
2
a
2
+ 10
a
Hint
8.
Factor
A.
B.
prime
C.
D.
Hint
9.
Factor
x
2
-
y
4
A.
(
x
-
y
2
)(
x
-
y
2
)
B.
(
x
-
y
2
)(
x
+
y
2
)
C.
(
x
+
y
)(
x
–
y
)
D.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
Hint
10.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3
a
3
b
(2
ab
2
- 5)
B.
3
a
2
b
(2
ab
4
- 5)
C.
3(2
a
3
b
5
- 5
a
2
b
)
D.
ab
(6
a
2
b
4
- 15
a
)
Hint
11.
Write an expression for the area of the rectangle.
A.
x
2
- 3
x
+ 13
B.
9
x
2
– 31
x
+ 40
C.
x
3
- 4
x
D.
x
3
+ 4
x
2
– 27
x
+ 40
Hint
12.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+
x
+ 5
B.
–5
x
2
+ 9
x
– 7
C.
–5
x
2
+ 9
x
+ 5
D.
–5
x
2
+
x
– 7
Hint
13.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
2100
B.
100
x
C.
2000 + 100
x
D.
2000
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.
16
B.
23
C.
-4
D.
14
Hint
15.
Maria's age multiplied by 3, decreased by 17 and then doubled is 68. How old is Maria?
A.
22
B.
14
C.
17
D.
15
Hint
16.
Factor
A.
B.
C.
D.
Hint