1.
Which graph show the solution set of the compound inequality
4
x
- 7 < 2
x
and 3
x
+ 5
>
-1?
A.
B.
C.
D.
Hint
2.
Which graph shows the solution set of the compound inequality
4(3
x
- 5) > 4(2
x
- 7) or 5
x
- 10 < 7
x
.
A.
B.
C.
D.
Hint
3.
Simplify
Assume the denominator is not equal to zero.
A.
5
xy
8
B.
C.
1
D.
5
xy
2
Hint
4.
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.
8
x
8
y
3
B.
C.
2
x
2
y
D.
Hint
5.
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
6.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
B.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
C.
5
ab
(4
a
3
b
- 3 + 6
a
)
D.
a
2
b
(20
a
2
b
- 15 + 30
a
)
Hint
7.
Factor
xy
– 6 + 2
y
– 3
x
.
A.
(
xy
– 3
x
) + (2
y
– 6)
B.
x(y
– 3) + 2(
y
– 3)
C.
(
x
+ 2)(
y
– 3)
D.
(
x
– 2)(
y
– 3)
Hint
8.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
x
+ 3)(
y
– 2)
B.
(
x
– 2)(
y
+ 3)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
x
(
y
– 2) + 3(
y
– 2)
Hint
9.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3(2
a
3
b
5
- 5
a
2
b
)
B.
3
a
2
b
(2
ab
4
- 5)
C.
3
a
3
b
(2
ab
2
- 5)
D.
ab
(6
a
2
b
4
- 15
a
)
Hint
10.
Solve
a
2
– 12
a
= -27.
A.
a
= -27 or
a
= -15
B.
a
= 3
C.
a
= 3 or
a
= 9
D.
a
= 9
Hint
11.
Find the coordinates of the vertex of the graph of the equation
y
=
x
2
- 5
x
+ 7.
A.
B.
C.
(0, 7)
D.
(5, 7)
Hint
12.
The vertex of the graph of the equation
y
= -
x
2
+ 6
x
+ 1 is
A.
a minimum
B.
neither a maximum nor a minimum
C.
both a maximum and a minimum
D.
a maximum
Hint
13.
What is the equation of the graph shown?
A.
y
= -
x
2
+2
x
- 1
B.
y
=
x
2
+ 2
x
+ 1
C.
y
= -
x
2
- 2
x
- 1
D.
y
=
x
2
- 2
x
+ 1
Hint
14.
What are the real roots of the quadratic equation whose related function is graphed below?
A.
-1, -3
B.
-3, 1
C.
3
D.
3, -1
Hint
15.
Solve
x
2
– 6
x
+ 5 = 0 by graphing.
A.
-1
B.
1
C.
1, 5
D.
5
Hint
16.
Simplify
.
A.
z
+ 4
B.
C.
D.
Hint
17.
Find
.
A.
B.
C.
D.
t
+ 2
Hint
18.
Find
.
A.
B.
C.
D.
Hint
19.
Find the quotient
.
A.
B.
C.
D.
Hint
20.
Which set of data displays exponential behavior?
A.
B.
C.
D.
Hint