1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
56
a
28
b
6
B.
15
a
28
b
6
C.
56
a
11
b
7
D.
15
a
11
b
7
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
5
xy
8
B.
5
xy
2
C.
1
D.
Hint
3.
Evaluate
. Express the result in scientific notation.
A.
8.0 × 10
-9
B.
0.8 × 10
-8
C.
80 × 10
-8
D.
8.0 × 10
-7
Hint
4.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
4
– 2
x
2
– 6
C.
9
x
– 6
D.
11
x
2
– 8
x
– 6
Hint
5.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
3
+ 2
a
2
B.
10
a
3
+ 4
a
2
C.
14
a
2
+ 2
a
D.
2
a
2
+ 10
a
Hint
6.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
+ 49
s
2
B.
16
r
2
- 49
s
2
C.
16
r
2
- 56
rs
+ 49
s
2
D.
16
r
2
+ 56
rs
+ 49
s
2
Hint
7.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
6
B.
27
12
C.
9
9
D.
81
6
Hint
8.
Simplify
.
A.
x
2
y
B.
x
3
y
C.
x
3
y
2
D.
x
2
y
2
Hint
9.
Express 2.38 × 10
6
in standard notation.
A.
2,380,000
B.
238,000
C.
0.000000238
D.
0.00000238
Hint
10.
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
11.
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
+
x
3
+ 2
y
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
+ 2
y
3
+
x
3
– 5
x
y
4
Hint
12.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
– 7
B.
5
x
2
+ 5
x
+ 1
C.
5
x
2
+ 5
x
– 7
D.
3
x
2
+ 5
x
+ 1
Hint
13.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
–6
k
3
+ 4
k
2
– 5
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
+ 27
k
Hint
14.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
6
x
2
+ 7
x
– 3
B.
3
x
2
+
x
C.
5
x
2
+ 7
x
– 3
D.
x
2
+
x
– 3
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 5
B.
6
x
2
+ 5
x
– 6
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 9
x
– 6
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
– 24
n
– 9
B.
16
n
2
+ 24
n
– 9
C.
16
n
2
– 9
D.
16
n
2
+ 9
Hint