1.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
32
x
6
y
6
z
9
B.
32
x
5
y
7
z
9
C.
8
x
5
y
7
z
9
D.
24
x
5
y
7
z
9
Hint
2.
Find the volume of the rectangular solid shown below.
A.
9
a
4
b
8
B.
24
a
4
b
8
C.
24
a
2
b
10
D.
24
a
2
b
7
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
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
– 3
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
5.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -6
B.
a
= -2
C.
a
= -1
D.
Hint
6.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
ab
2
c
B.
56
a
2
b
2
c
2
C.
14
ab
2
c
D.
14
a
2
b
4
c
2
Hint
7.
Simplify
.
A.
x
2
y
2
B.
x
3
y
2
C.
x
2
y
D.
x
3
y
Hint
8.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
4
x
B.
x
2
– 10
x
C.
x
2
– 5
x
D.
x
2
– 2
x
+ 5
Hint
9.
Which of the following expressions is an example of a polynomial with powers of
x
in ascending order?
A.
x
+ 1 – 6
x
3
+ 2
x
4
B.
x
+ 2
x
3
– 2
x
2
– 5
x
4
C.
3
x
+ 5
x
3
– 7
x
4
– 3
D.
x
+ 2
x
3
+ 5
x
4
Hint
10.
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation
A
= –10
x
2
+ 15
x
+ 22, where
A
is height and
x
is the time in seconds. The height of Sanford's throw can represented by the equation
S
= –9
x
2
+ 14
x
+ 23. At time
x
, what is the combined height of the throws?
A.
–
x
2
+
x
– 1
B.
x
2
–
x
+ 1
C.
19
x
2
+ 29
x
+ 45
D.
–19
x
2
+ 29
x
+ 45
Hint
11.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= –2
B.
x
= 4
C.
x
= 3
D.
x
= 2
Hint
12.
Factor
A.
B.
C.
D.
Hint
13.
Which sketch represents the area of a rectangle with a width that is 3 more than the length?
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint