1.
Simplify (3
a
4
b
5
c
)
4
.
A.
7
a
16
b
20
c
4
B.
81
a
16
b
20
c
4
C.
12
a
8
b
9
c
5
D.
3
a
16
b
20
c
4
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
B.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
C.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
D.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
Hint
5.
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
6.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
x
= 5
B.
C.
D.
Hint
7.
Factor -180
x
2
y
2
A.
4 · 9 · 5 ·
x
·
x
·
y
·
y
B.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
C.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
Hint
8.
Simplify ((2
2
)
3
)
4
.
A.
2
12
= 4096
B.
2
9
= 512
C.
2
24
=16,777,216
D.
2
20
= 1,048,576
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.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
+ 5
B.
–5
x
2
+ 9
x
– 7
C.
–5
x
2
+
x
– 7
D.
–5
x
2
+
x
+ 5
Hint
11.
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
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