1.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
17
a
12
b
8
c
5
B.
6
a
17
b
7
c
6
C.
36
a
17
b
7
c
6
D.
72
a
17
b
7
c
6
Hint
2.
Find the volume of the rectangular solid shown below.
A.
9
a
4
b
8
B.
24
a
4
b
8
C.
24
a
2
b
10
D.
24
a
2
b
7
Hint
3.
Express 765,000,000,000 in scientific notation.
A.
0.765 × 10
12
B.
7.65 × 10
-11
C.
7.65 × 10
11
D.
7.65 × 10
10
Hint
4.
Find the difference (-7
x
4
y
2
– 3
x
2
y
+ 2
xy
2
– 5) – (4
x
4
y
2
–
xy
2
– 5).
A.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
B.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
D.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
Hint
5.
Write an expression for the area of the rectangle shown below.
A.
12
xy
2
+ 4
x
3
y
B.
6
xy
2
+ 7
x
3
y
C.
9
x
2
y
4
+ 12
x
4
y
3
D.
6
xy
2
+ 4
x
3
y
Hint
6.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 9
B.
x
2
- 6
x
- 9
C.
x
2
+ 9
D.
x
2
- 6
x
+ 9
Hint
7.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
- 49
s
2
B.
16
r
2
- 56
rs
+ 49
s
2
C.
16
r
2
+ 49
s
2
D.
16
r
2
+ 56
rs
+ 49
s
2
Hint
8.
Simplify
.
A.
B.
C.
D.
Hint
9.
Simplify
.
A.
x
26
y
3
B.
x
6
y
3
C.
x
24
y
19
D.
x
3
y
3
Hint
10.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
4
B.
1.32 × 10
6
C.
1.5 × 10
4
D.
1.32 × 10
5
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
– 2
x
+ 5
B.
x
2
– 5
x
C.
x
2
– 10
x
D.
4
x
Hint
12.
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
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
B.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
C.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
D.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
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
, 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
14.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= 2
B.
x
= 3
C.
x
= –2
D.
x
= 4
Hint
15.
Find the product (
x
2
– 3
x
+6)(2
x
2
+ 3
x
+ 4).
A.
2
x
4
– 3
x
3
– 5
x
2
+ 6
x
+ 24
B.
2
x
4
– 3
x
3
+ 7
x
2
+ 6
x
+ 24
C.
2
x
4
+ 3
x
3
– 5
x
2
+ 6
x
+ 24
D.
2
x
4
+ 3
x
3
+ 7
x
2
+ 6
x
+ 24
Hint
16.
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