1.
Simplify (4
x
3
) (3
x
5
).
A.
12
x
8
B.
7
x
15
C.
7
x
8
D.
12
x
15
Hint
2.
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.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
3.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
3
+ 2
a
2
B.
10
a
3
+ 4
a
2
C.
2
a
2
+ 10
a
D.
14
a
2
+ 2
a
Hint
4.
Find the GCF of 24, 36, and 108.
A.
72
B.
12
C.
6
D.
24
Hint
5.
Find the quotient
.
A.
B.
C.
D.
Hint
6.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
9
B.
81
6
C.
27
12
D.
9
6
Hint
7.
Simplify
.
A.
x
24
y
19
B.
x
6
y
3
C.
x
3
y
3
D.
x
26
y
3
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
+ 5
x
4
C.
3
x
+ 5
x
3
– 7
x
4
– 3
D.
x
+ 2
x
3
– 2
x
2
– 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
, how much higher is Sanford's throw?
A.
x
2
–
x
+ 1
B.
x
2
+
x
+ 1
C.
x
2
–
x
– 1
D.
x
2
+
x
– 1
Hint
11.
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
12.
Factor
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint