1.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
8
x
5
y
7
z
9
B.
32
x
5
y
7
z
9
C.
32
x
6
y
6
z
9
D.
24
x
5
y
7
z
9
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
-
b
2
B.
C.
D.
Hint
3.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
14
a
3
+ 2
a
2
C.
2
a
2
+ 10
a
D.
10
a
3
+ 4
a
2
Hint
4.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 43
y
- 35
B.
12
y
2
– 13
y
+ 35
C.
12
y
2
+ 35
D.
12
y
2
– 43
y
+ 35
Hint
5.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3
a
3
b
(2
ab
2
- 5)
B.
3(2
a
3
b
5
- 5
a
2
b
)
C.
ab
(6
a
2
b
4
- 15
a
)
D.
3
a
2
b
(2
ab
4
- 5)
Hint
6.
Find the quotient
.
A.
B.
C.
D.
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.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
– 7
B.
–5
x
2
+
x
– 7
C.
–5
x
2
+ 9
x
+ 5
D.
–5
x
2
+
x
+ 5
Hint
9.
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
10.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
4
– 7
x
3
+ 8
x
2
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
2
– 7
x
+ 8
Hint
11.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
6
x
2
+ 7
x
– 3
B.
5
x
2
+ 7
x
– 3
C.
x
2
+
x
– 3
D.
3
x
2
+
x
Hint
12.
A number is increased by 13, multiplied by 6 and then divided by 2. The final number is 108. What is the original number?
A.
16
B.
23
C.
14
D.
-4
Hint
13.
Work backwards to complete
A.
B.
C.
D.
Hint
14.
Factor
A.
B.
C.
D.
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint