1.
Simplify (4
x
3
) (3
x
5
).
A.
12
x
8
B.
7
x
8
C.
7
x
15
D.
12
x
15
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
-
b
2
C.
D.
Hint
3.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
B.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
C.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
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
– 8
x
2
y
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
D.
4
xy
2
– 7
xy
– 3
Hint
5.
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
6.
Write an expression for the area of the rectangle shown below.
A.
12
xy
2
+ 4
x
3
y
B.
9
x
2
y
4
+ 12
x
4
y
3
C.
6
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
7.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
9
B.
27
12
C.
81
6
D.
9
6
Hint
8.
Simplify
.
A.
x
3
y
2
B.
x
3
y
C.
x
2
y
2
D.
x
2
y
Hint
9.
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
10.
Which pair of terms are
unlike
terms?
A.
3
r
3
t
2
, -3
r
3
t
2
B.
C.
D.
Hint
11.
What is the GCF of 6
r
2
s
4
and 14
r
3
s
3
?
A.
B.
C.
D.
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