Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx

Math 107 Final ExaminationSpring, 20131
Math 107 College
AlgebraName______________________________
Final Examination: Spring, 2013Instructor
__________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and
other course materials as you work on the exam, and you may
use a calculator.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for
each problem.
Problems #13-21 are short answer. Record your answer for
each problem.
Problems #22-30 are short answer with work required. When
requested, show all work and write all answers in the spaces
allotted on the following pages. You may type your work using
plain-text formatting or an equation editor, or you may hand-
write your work and scan it. In either case, show work neatly
and correctly, following standard mathematical conventions.
Each step should follow clearly and completely from the
previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither
collaboration nor consultation with others is allowed. Your
exam will receive a zero grade unless you complete the
following honor statement.
(
Please sign (or type) your name below the following honor
statement:
I have completed this
final examination

myself,
working independently and not consulting anyone except the
instructor.
I have neither given nor received help on this final examination.
Name ____________
______
___
Date___________________
)
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)

(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and
work.
Problem Number
Solution
22
Answer:
Work:

23
Answers:
(a)
(b)
(c)
Work for part (a):

24
Answer:
Work:
25
Answer:
Work:

26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:

29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:

The Final Assessment
1. Identify three areas where IT could be applied to improve
management of Unchained Melody Ulmus Company (UMUC).
0. _________________________
0. _________________________
0. _________________________
1. Explain how each solution would benefit the furniture
outlets, specifically addressing how it could improve business

intelligence (BI) and decision-making and/or overall
management of the business.
0.
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________
0.
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________
0.
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
____________________________
1. Identify which of the three solutions you would suggest be
implemented first and explain why you chose that solution over

the others.
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
____________________________________________________
1. Name five IT best practices and methodologies and briefly
explain how they apply to the IT solution named in #3 above.
1. _______________________________________________
1. _______________________________________________
1. _______________________________________________
1. _______________________________________________
1. _______________________________________________
1. Identify five hardware components that Donna will need to
buy for her main location to implement the IT solution named in
#3 above.
0. _______________________________________________
0. _______________________________________________
0. _______________________________________________
0. _______________________________________________

0. _______________________________________________
1. Identify five software suites/programs that Donna will need
for her office. (These may or may not be part of your solution,
but are programs she will need.)
5. _______________________________________________
5. _______________________________________________
5. _______________________________________________
5. _______________________________________________
5. _______________________________________________
1. Name three locations or businesses that need connectivity
and for what purpose(s).
6. _______________________________________________
6. _______________________________________________
6. _______________________________________________
1. Do some research and list four names of different types of
software products along with their corresponding categories that

Donna can use to protect her data and her systems. These are to
be specific products available in the marketplace, not general
types of software.
7. _______________________________________________
7. _______________________________________________
7. _______________________________________________
7. _______________________________________________
1. Explain how Donna could benefit from implementing supply
chain management (SCM) in her business. Be sure to address
the entire supply chain in your response.
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
______________________________________
1. List five hardware components, software or connectivity

capabilities that Donna could add to her system and processes in
order to establish a business-to-consumer (B2C) eCommerce
capability.
9. _______________________________________________
9. _______________________________________________
9. _______________________________________________
9. _______________________________________________
9. _______________________________________________
College Algebra MATH 107 Spring, 2013, V4.1
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and
other course materials as you work
on the exam, and you may use a calculator. You must complete
the exam individually.

Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet
provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be
shown)
Problems #22–30 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
1. ______

A. Domain [–2.5, 1]; Range [0, 3]
B. Domain [–1, 3]; Range [–3, 1]
C. Domain [–3, 1]; Range [–1, 3]
D. Domain [–3, –1]; Range [0, 1]
2. Solve: 16 6x x− = − 2. ______
A. No solution
B. 16/5
C. –8, 2
D. –8
2 4 -4

-2
-4
2
4
Page 2 of 11
3. Determine the interval(s) on which the function is increasing.
3. ______
A. (–∞, – 4) and (2, ∞)
B. (–6.7, 0) and (3.6, ∞)

C. (– 4, 2)
D. (–1, 3)
4. Determine whether the graph of 8y x= − is symmetric with
respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the x-axis only
B. symmetric with respect to the y-axis only
C. symmetric with respect to the origin only
D. not symmetric with respect to the x-axis, not symmetric with
respect to the y-axis, and
not symmetric with respect to the origin
5. Solve, and express the answer in interval notation: | 4 – 5x |
≥ 6. 5. ______

A. [– 2/5, 2]
B. [– 2/5, ∞)
C. (–∞, – 2/5] ∪ [2, ∞)
D. (–∞, 2] ∪ [–2/5, ∞)
Page 3 of 11
6. Which of the following represents the graph of 4x + 7y = 28
? 6. ______
A. B.

C. D.
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line
x – 5y = 9 which passes through
the point (–10, 7). 7. ______
A.
1
9
5
y x= +

B.
1
5
5
y x= − +
C.
1
7
5
y x= +
D. 5 57y x= +

8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function but not one-to-one.
C. It is not the graph of a function.
D. It is the graph of a parabolic relation.
Page 5 of 11
9. Express as a single logarithm: log (x – 5) + 2 log 1 – 4 log y
9. ______
A.
log( 5)
log(4 )

C.
3
log
4
x
y
D. ( )log 3 4x y− −
10. Which of the functions corresponds to the graph? 10.
______

A. ( ) 3xf x e−= +
B. ( ) 3xf x e= − +
C. ( ) 4xf x e= +
D. ( ) 4xf x e−= +
Page 6 of 11
11. A candidate’s share of the votes varies directly as the
number of votes cast for the candidate.
In a city council election with four candidates, Allison received
1,440 votes and earned a 45%
share of the votes. Bell received 832 votes. What was Bell’s
corresponding share of the votes?
11. ______
A. 15%
B. 26%
C. 37%

D. 52%
12. The graph of y = f (x) is shown at the left and the graph of y
= g(x) is shown at the right. (No
formulas are given.) What is the relationship between g(x) and f
(x)?
12. ______

y = f (x) y = g(x)
A. g(x) = f (x – 2) – 6
B. g(x) = f (x + 2) – 6
C. g(x) = f (x – 6) – 2
D. g(x) = f (x + 6) – 2
2 4 -2 -4
-2
-4
2

4
2 4 -2 -4
-2
-4
2
4
Page 7 of 11
SHORT ANSWER:
13. Multiply and simplify: (6 – i)(7 + 2i).
Write the answer in the form a + bi, where a and b are real
numbers. Answer: ________

14. Solve, and write the answer in interval notation:
1
0
8
x
x
+
≥
−
. Answer: ________
15. A bowl of soup at 185° F. is placed in a room of constant
temperature of 75° F. The
temperature T of the soup t minutes after it is placed in the
room is given by
T(t) = 75 + 110 e

– 0.075 t
Find the temperature of the soup 32 minutes after it is placed in
the room. (Round to the nearest
degree.)
Answer: ________
16. Find the value of the logarithm: 3
1
log
27
. Answer: ________

17. Solve:
7 28 64x − = . Answer: ________
18. Suppose $6,100 is invested in an account at an annual
interest rate of 3.7% compounded
continuously. How long (to the nearest tenth of a year) will it
take the investment to double in
size? Answer: ________
19. Let f (x) = x
2
−−−− 12x + 28.
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer:
________

Page 8 of 11
20. Consider the polynomial P(x), shown in both standard form
and factored form.
3 21 1 17 1
( ) 3 ( 3)( 1)( 5)
5 5 5 5
P x x x x x x x= − + + + = − + + −
(a) Which sketch illustrates the end behavior of the polynomial
function?
Answer: ________

(b) State the y-intercept. Answer: ________________
(c) State the zeros of the function. Answer: ________________
(d) State which graph below is the graph of P(x). Answer:
________
GRAPH
A
GRAPH
B
GRAPH
C
GRAPH

D
A.
B. C. D.
vvvv
vvvv
vvvv vvvv
Page 9 of 11
21. Let
2 18
( )
5

x
f x
x
−
=
−
.
(a) State the domain. Answer: _________________
(b) State the horizontal asymptote. Answer:
_________________
(c) State the vertical asymptote(s). Answer:
_________________

(d) Which of the following represents the graph of
2 18
( )
5
x
f x
x
−
=
−
? Answer: ______________
GRAPH A. GRAPH B.
GRAPH C. GRAPH D.

Page 10 of 11
SHORT ANSWER, with work required to be shown, as
indicated.
22. Simplify:
( )
6
4 3 24 2
5
2a b a b
b

−
−
−
. Show work.
23. Points (–8, 1) and (2, 3) are endpoints of the diameter of a
circle.
(a) What is the length of the diameter? Give the exact answer,
simplified as much as possible.
Show work.
(b) What is the center of the circle?
(c) What is the equation of the circle?
24. Find the equation for a line which passes through the points

(–1, 9) and (3, 1). Write the
equation in slope-intercept form. Show work.
25. Paul, a resident of Metropolis, pays Metropolis an annual
tax of $70 plus 1.8% of his annual
income. If Paul paid $1,186 in tax, what was Paul’s income?
Show work.
26. Let f (x) = 4x
2
– 9 and g(x) = x – 5.
(a) Find the composite function ))(( xgf � and simplify. Show
work.
(b) Find ( ) (3)f g� . Show work.

27. Find the exact solutions and simplify as much as possible:
8x
2
+ 17 = 12x. Show work.
28. Given the function
1
( ) 6
7
f x x= − , find a formula for the inverse function. Show work.

of 11
29. The fuel efficiency F for a particular car is given by
F(x) = –0.018 x
2
+ 1.476 x + 4.4
where x is the speed of the car in miles per hour (mph) and F(x)
is the corresponding fuel
efficiency in miles per gallon (mpg).
(a) What is the fuel efficiency if the car’s speed is 60 mph?
(b) What speed will yield the maximum fuel efficiency? Show
work.

30. Solve:
2
12 70
0
5 25
x
x x
+
+ =
+ −
. Show work.

Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx

Math 107 Final ExaminationSpring, 20131Math 107 College Algebr.docx

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