1.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
+ 13
a
-6
B.
15
a
2
- 5
a
- 6
C.
15
a
2
+ 13
a
- 6
D.
15
a
2
+ 13
a
+ 6
Hint
2.
Simplify (3
a
4
b
5
c
)
4
.
A.
81
a
16
b
20
c
4
B.
12
a
8
b
9
c
5
C.
7
a
16
b
20
c
4
D.
3
a
16
b
20
c
4
Hint
3.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
B.
2
x
2
y
C.
D.
8
x
8
y
3
Hint
4.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
2
a
2
+ 10
a
C.
10
a
3
+ 4
a
2
D.
14
a
3
+ 2
a
2
Hint
5.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
15
x
3
+ 32
x
2
+ 34
x
+ 24
B.
8
x
2
- 13
x
+ 24
C.
15
x
3
+ 8
x
2
+ 2
x
+ 24
D.
5
x
2
+
x
+ 10
Hint
6.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
a
2
b
2
c
2
B.
14
a
2
b
4
c
2
C.
56
ab
2
c
D.
14
ab
2
c
Hint
7.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
2
B.
2
abc
C.
8
ab
D.
4
Hint
8.
Factor
A.
prime
B.
C.
D.
Hint
9.
Factor
x
2
-
y
4
A.
(
x
+
y
)(
x
–
y
)
B.
(
x
-
y
2
)(
x
+
y
2
)
C.
(
x
-
y
2
)(
x
-
y
2
)
D.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
Hint
10.
Find
.
A.
B.
C.
D.
Hint
11.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
B.
6
x
2
y
2
C.
D.
x
4
Hint
12.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
+ 1
B.
5
x
2
+ 5
x
– 7
C.
5
x
2
+ 5
x
+ 1
D.
3
x
2
+ 5
x
– 7
Hint
13.
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
, what is the combined height of the throws?
A.
–
x
2
+
x
– 1
B.
19
x
2
+ 29
x
+ 45
C.
–19
x
2
+ 29
x
+ 45
D.
x
2
–
x
+ 1
Hint
14.
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
+ 27
k
D.
–6
k
3
+ 4
k
2
– 5
k
Hint
15.
Work backwards to complete
A.
B.
C.
D.
Hint
16.
Maria's age multiplied by 3, decreased by 17 and then doubled is 68. How old is Maria?
A.
15
B.
17
C.
14
D.
22
Hint