1.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
7
B.
9
a
4
b
8
C.
24
a
4
b
8
D.
24
a
2
b
10
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
-
b
2
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.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
B.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
4.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
B.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
C.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
D.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
Hint
5.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
10
a
3
+ 4
a
2
B.
2
a
2
+ 10
a
C.
14
a
3
+ 2
a
2
D.
14
a
2
+ 2
a
Hint
6.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 13
y
+ 35
B.
12
y
2
– 43
y
+ 35
C.
12
y
2
+ 35
D.
12
y
2
– 43
y
- 35
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.
6
x
2
y
2
B.
C.
x
4
D.
Hint
9.
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
C.
23
x
+ 5
y
D.
3
x
+
y
Hint
10.
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
2
– 3)
D.
23
x
(
x
+ 3)
Hint
11.
Find
.
A.
48
x
3
– 40
x
2
B.
3
x
– 2
C.
12
x
– 10
D.
3
x
–
Hint
12.
Work backwards to complete
A.
B.
C.
D.
Hint
13.
Work backwards to complete
A.
B.
C.
D.
Hint
14.
Factor
A.
B.
C.
D.
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint