1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
7
x
15
C.
12
x
15
D.
12
x
8
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
-
b
2
C.
D.
Hint
3.
Find the polynomial that represents the measure of the perimeter of the triangle.
A.
7
xy
2
+ 10
x
– 2
y
B.
5
xy
2
+ 10
x
C.
15
xy
2
D.
7
x
3
y
6
+ 10
x
2
– 2
y
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.
14
a
3
+ 2
a
2
C.
14
a
2
+ 2
a
D.
2
a
2
+ 10
a
Hint
5.
Factor 54
x
3
y
2
A.
2 · 27 ·
x
·
x
·
x
·
y
·
y
B.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
C.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
D.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
Hint
6.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
B.
C.
6
x
2
y
2
D.
x
4
Hint
7.
Simplify
.
A.
x
3
y
2
B.
x
2
y
C.
x
3
y
D.
x
2
y
2
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.
x
2
– 10
x
B.
4
x
C.
x
2
– 2
x
+ 5
D.
x
2
– 5
x
Hint
9.
How can the polynomial
x
2
y
2
+ 2
y
3
– 5
x
y
4
+
x
3
be written with powers of
x
in descending order?
A.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
B.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
C.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
D.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
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.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
100
x
B.
2000
C.
2100
D.
2000 + 100
x
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