1.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
36
a
17
b
7
c
6
B.
6
a
17
b
7
c
6
C.
17
a
12
b
8
c
5
D.
72
a
17
b
7
c
6
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Which expression is not a polynomial?
A.
7
y
3
B.
C.
3
x
2
+ 5
D.
4
x
3
y
2
- 5
xy
+ 7
Hint
4.
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
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.
Factor 54
x
3
y
2
A.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
B.
2 · 27 ·
x
·
x
·
x
·
y
·
y
C.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
D.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
Hint
7.
Simplify ((2
2
)
3
)
4
.
A.
2
20
= 1,048,576
B.
2
24
=16,777,216
C.
2
9
= 512
D.
2
12
= 4096
Hint
8.
Simplify
.
A.
x
3
y
3
B.
x
26
y
3
C.
x
24
y
19
D.
x
6
y
3
Hint
9.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
polynomial other than these listed
B.
binomial
C.
monomial
D.
trinomial
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.
–19
x
2
+ 29
x
+ 45
B.
–
x
2
+
x
– 1
C.
x
2
–
x
+ 1
D.
19
x
2
+ 29
x
+ 45
Hint
11.
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.
3
x
B.
3
x
+
y
C.
6
x
+ 3
y
D.
23
x
+ 5
y
Hint
12.
What is the GCF of 6
r
2
s
4
and 14
r
3
s
3
?
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint