1.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
36
a
17
b
7
c
6
B.
72
a
17
b
7
c
6
C.
17
a
12
b
8
c
5
D.
6
a
17
b
7
c
6
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
9
a
4
b
8
C.
24
a
4
b
8
D.
24
a
2
b
7
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
-
b
2
D.
Hint
5.
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.
4
xy
2
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
6.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
3
+ 2
a
2
B.
2
a
2
+ 10
a
C.
14
a
2
+ 2
a
D.
10
a
3
+ 4
a
2
Hint
7.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
x
= 5
B.
C.
D.
Hint
8.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 24
ab
+ 16
b
2
B.
9
a
2
+ 16
b
2
C.
9
a
2
+ 12
ab
+ 16
b
2
D.
3
a
2
+ 24
ab
+ 4
b
2
Hint
9.
Express 2.38 × 10
6
in standard notation.
A.
238,000
B.
0.00000238
C.
2,380,000
D.
0.000000238
Hint
10.
Express the result of
in
scientific
notation.
A.
3.43 × 10
3
B.
3430
C.
3.43 × 10
2
D.
343
Hint
11.
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.
x
2
– 5
x
C.
4
x
D.
x
2
– 2
x
+ 5
Hint
12.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
polynomial other than these listed
B.
monomial
C.
trinomial
D.
binomial
Hint
13.
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.
–19
x
2
+ 29
x
+ 45
C.
x
2
–
x
+ 1
D.
–
x
2
+
x
– 1
Hint
14.
A rectangle has a base of 4
x
– 1 and a height of 3
x
+ 2. What is the area?
A.
12
x
2
+ 5
x
+ 2
B.
12
x
2
– 5
x
+ 2
C.
12
x
2
+ 5
x
– 2
D.
12
x
2
– 5
x
– 2
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 6
B.
6
x
2
+ 9
x
– 5
C.
6
x
2
+ 9
x
– 6
D.
6
x
2
+ 5
x
– 5
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
– 9
B.
16
n
2
– 24
n
– 9
C.
16
n
2
+ 9
D.
16
n
2
+ 24
n
– 9
Hint