1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
56
a
28
b
6
B.
15
a
28
b
6
C.
15
a
11
b
7
D.
56
a
11
b
7
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Simplify
Assume the denominator is not equal to zero.
A.
5
xy
8
B.
5
xy
2
C.
1
D.
Hint
4.
Express 765,000,000,000 in scientific notation.
A.
7.65 × 10
11
B.
7.65 × 10
-11
C.
7.65 × 10
10
D.
0.765 × 10
12
Hint
5.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
B.
4
xy
2
– 7
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
6.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
x
= 5
B.
C.
D.
Hint
7.
Find (2
y
2
+ 7
y
– 5)(3
y
2
– 5
y
+ 4).
A.
6
y
4
+ 4
y
2
– 32
y
2
– 20
B.
5
y
2
+ 2
y
– 1
C.
6
y
4
+ 11
y
3
– 42
y
2
+ 53
y
– 20
D.
6
y
4
– 35
y
2
– 20
Hint
8.
Find (
x
- 4)
2
.
A.
x
2
- 4
x
+ 16
B.
x
2
- 8
x
+ 16
C.
x
2
+ 16
D.
x
2
- 16
Hint
9.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 16
b
2
B.
3
a
2
+ 24
ab
+ 4
b
2
C.
9
a
2
+ 12
ab
+ 16
b
2
D.
9
a
2
+ 24
ab
+ 16
b
2
Hint
10.
Write an expression for the area of the rectangle.
A.
x
3
+ 4
x
2
– 27
x
+ 40
B.
9
x
2
– 31
x
+ 40
C.
x
3
- 4
x
D.
x
2
- 3
x
+ 13
Hint
11.
Simplify ((2
2
)
3
)
4
.
A.
2
12
= 4096
B.
2
9
= 512
C.
2
20
= 1,048,576
D.
2
24
=16,777,216
Hint
12.
Express the result of
in
scientific
notation.
A.
3.43 × 10
2
B.
3.43 × 10
3
C.
3430
D.
343
Hint
13.
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.
4
x
B.
x
2
– 5
x
C.
x
2
– 2
x
+ 5
D.
x
2
– 10
x
Hint
14.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
binomial
B.
monomial
C.
trinomial
D.
polynomial other than these listed
Hint
15.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
– 7
B.
3
x
2
+ 5
x
– 7
C.
3
x
2
+ 5
x
+ 1
D.
5
x
2
+ 5
x
+ 1
Hint
16.
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.
2000
B.
2100
C.
100
x
D.
2000 + 100
x
Hint