1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
56
a
11
b
7
B.
56
a
28
b
6
C.
15
a
11
b
7
D.
15
a
28
b
6
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
4
b
8
B.
24
a
2
b
10
C.
24
a
2
b
7
D.
9
a
4
b
8
Hint
3.
Simplify
Assume the denominator is not equal to zero.
A.
1
B.
C.
5
xy
2
D.
5
xy
8
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.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
B.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
C.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
D.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
Hint
5.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
-11
x
8
+ 4
B.
–3
x
3
–
x
2
+ 5
x
- 12
C.
–3
x
3
– 13
x
2
+ 5
x
+ 4
D.
–3
x
3
– 13
x
2
+ 5
x
- 12
Hint
6.
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
7.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -2
B.
a
= -1
C.
a
= -6
D.
Hint
8.
Write an expression for the area of the rectangle shown below.
A.
6
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.
12
xy
2
+ 4
x
3
y
Hint
9.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
+ 9
B.
x
2
- 6
x
- 9
C.
x
2
- 9
D.
x
2
+ 9
Hint
10.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
+ 56
rs
+ 49
s
2
B.
16
r
2
+ 49
s
2
C.
16
r
2
- 49
s
2
D.
16
r
2
- 56
rs
+ 49
s
2
Hint
11.
Simplify
.
A.
x
26
y
3
B.
x
24
y
19
C.
x
3
y
3
D.
x
6
y
3
Hint
12.
Express 0.000033 in scientific notation.
A.
3.3 × 10
-6
B.
3.3 × 10
-5
C.
3.3 × 10
5
D.
3.3 × 10
-4
Hint
13.
Express 4.67 × 10
-7
in standard notation.
A.
0.000000467
B.
0.00000467
C.
46,700,000
D.
0.0000000467
Hint
14.
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
– 5
x
B.
x
2
– 2
x
+ 5
C.
x
2
– 10
x
D.
4
x
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
+ 7
x
2
+ 6
x
+ 24
D.
2
x
4
– 3
x
3
– 5
x
2
+ 6
x
+ 24
Hint
16.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 6
B.
6
x
2
+ 9
x
– 6
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 9
x
– 5
Hint