1.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
2
+ 13
a
+ 6
B.
15
a
2
- 5
a
- 6
C.
15
a
2
+ 13
a
- 6
D.
15
a
+ 13
a
-6
Hint
2.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
36
a
17
b
7
c
6
B.
6
a
17
b
7
c
6
C.
72
a
17
b
7
c
6
D.
17
a
12
b
8
c
5
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
5.
Write an expression for the area of the rectangle shown below.
A.
9
x
2
y
4
+ 12
x
4
y
3
B.
6
xy
2
+ 4
x
3
y
C.
12
xy
2
+ 4
x
3
y
D.
6
xy
2
+ 7
x
3
y
Hint
6.
Find (2
y
2
+ 7
y
– 5)(3
y
2
– 5
y
+ 4).
A.
6
y
4
+ 11
y
3
– 42
y
2
+ 53
y
– 20
B.
5
y
2
+ 2
y
– 1
C.
6
y
4
– 35
y
2
– 20
D.
6
y
4
+ 4
y
2
– 32
y
2
– 20
Hint
7.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
a
2
b
(20
a
2
b
- 15 + 30
a
)
B.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
C.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
D.
5
ab
(4
a
3
b
- 3 + 6
a
)
Hint
8.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
9
B.
9
6
C.
81
6
D.
27
12
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
, what is the combined height of the throws?
A.
–19
x
2
+ 29
x
+ 45
B.
x
2
–
x
+ 1
C.
19
x
2
+ 29
x
+ 45
D.
–
x
2
+
x
– 1
Hint
10.
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.
23
x
+ 5
y
B.
6
x
+ 3
y
C.
3
x
+
y
D.
3
x
Hint
11.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
2
– 12
x
+ 8
B.
–4
x
4
– 7
x
3
+ 8
x
2
C.
–4
x
2
– 7
x
+ 8
D.
–4
x
4
– 12
x
3
+ 8
x
2
Hint
12.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
2
+ 3)
B.
23
x
(
x
2
– 3)
C.
23
x
(
x
+ 3)
D.
23
x
(
x
– 3)
Hint
13.
Work backwards to complete
A.
B.
C.
D.
Hint
14.
A number increased by 12, divided by 3 and then decreased by 6 is 19. What is the original number?
A.
75
B.
63
C.
27
D.
87
Hint
15.
Factor
A.
B.
C.
D.
Hint
16.
Factor
A.
B.
C.
D.
Hint