1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
15
a
28
b
6
B.
56
a
11
b
7
C.
15
a
11
b
7
D.
56
a
28
b
6
Hint
2.
Which expression is a binomial?
A.
B.
5
x
- 2
C.
-3
xy
D.
5
x
2
y
+ 4
x
– 6
Hint
3.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
B.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
C.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
Hint
4.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
D.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
Hint
5.
Find (
x
+ 3)(
x
- 5).
A.
x
2
+ 8
x
- 15
B.
x
2
- 2
x
- 15
C.
x
2
+ 2
x
- 15
D.
x
2
- 15
Hint
6.
Simplify ((2
2
)
3
)
4
.
A.
2
24
=16,777,216
B.
2
12
= 4096
C.
2
20
= 1,048,576
D.
2
9
= 512
Hint
7.
Simplify
.
A.
B.
C.
D.
Hint
8.
Simplify
.
A.
x
26
y
3
B.
x
3
y
3
C.
x
24
y
19
D.
x
6
y
3
Hint
9.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
6
B.
1.5 × 10
4
C.
1.32 × 10
4
D.
1.32 × 10
5
Hint
10.
Express 4.67 × 10
-7
in standard notation.
A.
0.00000467
B.
0.000000467
C.
0.0000000467
D.
46,700,000
Hint
11.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
3
x
+
y
B.
6
x
+ 3
y
C.
3
x
D.
23
x
+ 5
y
Hint
12.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 12
x
+ 8
C.
–4
x
4
– 7
x
3
+ 8
x
2
D.
–4
x
2
– 7
x
+ 8
Hint
13.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
6
k
3
+ 4
k
2
+ 27
k
B.
–6
k
3
+ 4
k
2
+ 27
k
C.
6
k
3
+ 4
k
2
– 5
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
14.
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
15.
Find the product (3
x
+ 3)
2
.
A.
9
x
2
+ 12
x
+ 9
B.
9
x
2
+ 18
x
+ 9
C.
6
x
2
+ 18
x
+ 9
D.
6
x
2
+ 12
x
+ 9
Hint
16.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 8
x
+ 16
B.
x
2
+ 8
x
+ 8
C.
x
2
+ 4
x
+ 16
D.
2
x
+ 8
Hint