FINAL EXAM REVIEW – MAT1033 (Intermediate Algebra)
1.
2.
3.
4.
Factor completely:
a) (
)(
)
b) (
d) (
)(
)
e) None of these
a)
(
d)
(
)
)(
)(
)
b) (
)
)(
e)
(
b)
(
d)
(
)
)(
c)
(
)(
)
Factor completely:
a)
(
)(
c)
(
)(
)
)(
)
Determine the values for which
b)
)
)(
) e) Not Factorable
is undefined.
c)
d)
Divide:
a)
6.
c) (
)
Factor completely:
a)
5.
)(
(
(
b)
)
)
c)
d)
e)
Add, then simplify:
a)
d)
(
(
)(
)(
)
)(
)
b)
e)
(
(
)(
)(
)
)(
)
c)
(
)(
)
)
7.
Simplify the complex fraction:
a)
8.
b) {
If ( )
a)
10.
c)
}
, find (
b)
13.
}
e)
d) { }
e) None of these
d)
e) None of these
)
Determine if the relation is a function:
{(
)(
)(
)(
)}
b) No, it is not a function
Find: ( )
a)
12.
c) {
c)
a) Yes, it is a function
11.
d)
Solve for :
a) { }
9.
b)
Find: √
b)
c)
d)
e)
√
a) √
b)
Find: (
)(
a) 34
b) 38
c)
√
√
e) None of these
d) 32
e) None of these
d)
)
c) 40
14.
15.
Graph the system of inequalities:
a)
b)
d)
e) None of these
Rationalize the denominator:
a)
16.
18.
√
√
b)
c)
Rationalize the denominator:
a)
17.
c)
√
b)
√
(
√ )
d)
(
√ )
e)
√
√
√
c)
d) √
e) None of these
What is the system of linear inequalities represented by the graph
a)
b)
c)
d)
e)None of these
Solve for :
a) {
√ }
b) {
}
c) {
√ }
d) { }
e) {
√ }
19.
Solve for :
a) No solution
20.
d) { }
e) None of these
}
b) {
}
c) { }
b) {
}
c) {
d) {
}
e)None of these
Solve for :
a) {
22.
c) { }
Solve for :
a) {
21.
b) { }
}
}
d) {
e) { }
}
The hypotenuse of a right triangle is 8 inches longer than the shorter leg. The
longer leg is 4 inches longer than the shorter leg. Find the length of the shorter
leg.
a) 6 inches
b) 8 inches
c) 15 inches
d) 20 inches
e) None of these
23.
Find the slope of the line determined by the points (
a)
24.
b)
c)
d)
) and (
)
e)
Write the equation of a line that contains the point (
the line
) and is perpendicular to
a)
b)
c)
d)
e)
25.
Determine whether the lines
perpendicular or neither.
a) parallel
26.
b) perpendicular
and
c) neither
Which of the following is the graph of
5
a)
y
2
1
-5 -4 -3 -2 -1 0
-1
1
2
x
3
4
3
1
-2
-3
-4
-4
-5
-5
28.
1
2
x
3
4
-5 -4 -3 -2 -1 0
-1
5
-2
-3
-4
-5
5
5
4
e)
3
y
2
3
2
1
1
-5 -4 -3 -2 -1 0
-1
-5 -4 -3 -2 -1 0
-1
1
2
x
3
4
5
-2
-2
-3
-3
-4
-4
-5
-5
1
2
x
3
4
5
Divide:
a)
b)
d)
e) None of these
c)
Find the x-intercept of
a)
b)
c)
d)
3
2
-3
y
y
1
-2
4
4
2
-5 -4 -3 -2 -1 0
-1
5
c)
4
3
d)
5
5
b)
4
y
27.
are parallel,
e)
1
2
x
3
4
5
29.
Which of the following is the graph of
5
a)
y
5
b)
4
3
y
2
1
-5 -4 -3 -2 -1 0
-1
y
2
1
1
2
x
3
4
-5 -4 -3 -2 -1 0
-1
5
2
3
4
-5 -4 -3 -2 -1 0
-1
5
-2
-3
-3
-3
-4
-4
-4
-5
-5
-5
y
1
2
x
3
4
5
4
3
y
e)
2
3
2
1
1
2
x
3
4
-5 -4 -3 -2 -1 0
-1
5
-2
-2
-3
-3
-4
-4
-5
-5
1
2
x
3
4
5
Solve for :
a) {
}
b) { }
c) {
b)
c)
}
d) {
}
e) { }
Simplify:
a)
Solve for : (
a) {√ }
33.
x
-2
-5 -4 -3 -2 -1 0
-1
32.
2
-2
1
31.
3
1
1
4
30.
4
3
5
d)
5
c)
4
d)
e) None of these
)
b) { }
c) {
√ }
d) {
√ }
e) {
Solve the system for :
a)
b)
c)
d)
e)
√ }
5
34.
35.
A rectangular table top is 2 feet longer than it is wide, and its perimeter is 20 feet.
Find the length and the width of the table top.
a)
b)
d)
e)
c)
What number must be added to
a)
b)
to form a perfect square trinomial?
c)
d)
e)
M AT 1 0 3 3 F I N AL R E V I E W AN S W E R S
1.
A
8.
A
15.
C
22.
E
29.
B
2.
E
9.
B
16.
B
23.
E
30.
D
3.
D
10.
B
17.
A
24.
E
31.
E
4.
B
11.
B
18.
A
25.
C
32.
D
5.
C
12.
C
19.
B
26.
B
33.
B
6.
E
13.
C
20.
A
27.
D
34.
A
7.
B
14.
B
21.
D
28.
C
35.
C