Math 012 Midterm Exam Page 3 Please remember to show all work on every problem. 1) Solve the equation using the methods discussed in Chapter 2 of our text. If the equation has a unique solution, please show the complete check of your answer. 2) Solve the equation using the methods discussed in Chapter 2 of our text. If the equation has a unique solution, please show the complete check of your answer. 3) Solve the equation using the methods discussed in Chapter 2 of our text. If the equation has a unique solution, please show the complete check of your answer. 4) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. 5) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. 6) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. 7) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. 8) After Amanda received a 4.5% raise, her new annual salary was $75,240. What was her annual salary before the raise? 9) Patrick wins $900,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 6.72% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 2.4% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period? 10) The average annual tuition and fees at public 4-year institutions in the US in 2005 was $13,847 and in 2010 was $16,384. Let y be the average tuition and fees in the year x, where x = 0 represents the year 2005. a) Write a linear equation that models the growth in average tuition and fees at public 4-year institutions in the US in terms of the year x. b) Use this equation to predict the average tuition and fees at public 4-year institutions in the US in the year 2020. c) Explain what the slope of this line means in the context of the problem. 11) Given the linear equation : a) Find both intercepts of the equation. Show all work and state intercepts as ordered pairs. x-intercept = y-intercept = b) Use the intercepts to find the slope of the line. Show all work. 12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show the work that leads to your conclusion. 13) Write an equation of a line through the point (5, -2) that is perpendicular to the y-ax ...

1. Math 012
Midterm Exam Page 3
Please remember to show all work on every problem.
1) Solve the equation using the methods discussed in Chapter 2
of our text. If the equation has a unique solution, please show
the complete check of your answer.
2) Solve the equation using the methods discussed in Chapter 2
of our text. If the equation has a unique solution, please show
the complete check of your answer.

2. 3) Solve the equation using the methods discussed in Chapter
2 of our text. If the equation has a unique solution, please show
the complete check of your answer.
4) Solve the inequality using the methods discussed in Chapter
2 of our text. Write your answer in interval notation and graph
the solution set on a number line.

3. 5) Solve the inequality using the methods discussed in Chapter
2 of our text. Write your answer in interval notation and graph
the solution set on a number line.
6) Solve the inequality using the methods discussed in Chapter
2 of our text. Write your answer in interval notation and graph
the solution set on a number line.

4. 7) Solve the inequality using the methods discussed in Chapter
2 of our text. Write your answer in interval notation and graph
the solution set on a number line.
8) After Amanda received a 4.5% raise, her new annual salary
was $75,240. What was her annual salary before the raise?

5. 9) Patrick wins $900,000 (after taxes) in the lottery and
decides to invest half of it in a 5-year CD that pays 6.72%
interest compounded quarterly. He invests the other half in a
money market fund that unfortunately turns out to average only
2.4% interest compounded annually over the 5-year period.
How much money will he have altogether in the two accounts at
the end of the 5-year period?
10) The average annual tuition and fees at public 4-year
institutions in the US in 2005 was $13,847 and in 2010 was
$16,384. Let y be the average tuition and fees in the year x,
where x = 0 represents the year 2005.
a) Write a linear equation that models the growth in average
tuition and fees at public 4-year institutions in the US in terms
of the year x.

6. b) Use this equation to predict the average tuition and fees at
public 4-year institutions in the US in the year 2020.
c) Explain what the slope of this line means in the context of
the problem.
11) Given the linear equation :

7. a) Find both intercepts of the equation. Show all work and
state intercepts as ordered pairs.
x-intercept =
y-intercept =
b) Use the intercepts to find the slope of the line. Show all
work.
12) Given the following two linear equations, determine
whether the lines are parallel, perpendicular, or neither. Show
the work that leads to your conclusion.

8. 13) Write an equation of a line through the point (5, -2) that is
perpendicular to the y-axis. Graph the line on the grid below or
create your own graph. State the slope of the line.
14) Given the linear equation , answer the following questions,
showing all work:
a) Find the slope of a line perpendicular to the given line.
b) Write an equation in point-slope form of the line
perpendicular to the given line through the point (4, -3).
c) Convert the equation found in part (b) to slope-intercept

9. form.
d) Convert the equation found in part (b) to standard form.
e) Graph both lines. You may use the grid provided or create
your own graph.
15) Given the function :
a) Find at least 5 ordered pairs that belong to the function.
Show all work below.
b) Graph the function. You may use the grid provided or
create your own graph.

10. c) State the domain and range of the function.
End of exam: please do not forget to write and sign (or type) the
required statement explained on Page 1 of the exam.
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Running head: INTEGRATION OF MOBILE APPS INTO
EDUCATION 1
Integration of Mobile Apps into Education
Student Name
Columbia Southern University

13. Sample Research Paper
This is the running head. The words “Running head:”
should only appear on the title page. On all
subsequent pages, the header should consist of the
title in all capital letters. Be sure that the title within
the running head is 50 characters or less including
Paper Format
1 inch margins
Double spacing
Suggested font-Times New Roman 12 pt.
Paragraphs indented .5 inch (usually default Tab)
INTEGRATION OF MOBILE APPS INTO EDUCATION 2
Abstract
This paper explores the importance of mobility that is expected
in every area of life today.
Students assume that their particular schools’ websites and
learning management systems will be
available on their mobile devices. Schools need to consider how
mobile applications (apps) can
be used within their academic and social realms. The cost and
positive effects will need to be
researched by each institution to discover if mobile apps would

14. be effective tools to use. A
variety of apps are already available for use as is the technology
for schools to create their own
apps. Geographic locating, instructional, scheduling,
administrative, and e-learning options can
provide additional and more productive learning experiences for
students. Educators and
academic institutions do not need to be left behind in the use of
mobile applications to facilitate
learning and further assist their students in their educational
pursuits.
This is the running head.
Center the word
Abstract. Not Boldface.
The abstract should be between 150-250 words. There is a

15. subtle difference between an abstract
and an introduction. The introduction introduces the topic,
often in creative ways and with
background information. The abstract summarizes the paper in
a very structured way. You will often
find statements in the abstract that you were taught to never
write in an introduction… “This paper
explores…,” or “This paper defines…,” or even “The articles
examine…” The abstract basically lets the
readers know what is in the paper so they can decide whether it
will be useful to read the entire
paper, or if they should keep looking for an article that better
suits their needs. Abstracts are
typically found in academic journals, so you have to imagine
that the paper you are writing for class
right now might end up in an academic journal someday!
Do not
indent
the
first
line.
INTEGRATION OF MOBILE APPS INTO EDUCATION 3
Integration of Mobile Apps into Education
Technology has become an important element in almost every
aspect of people’s lives. It
has been integrated into the educational process over and over
again throughout the years and

16. has given newer and better tools to help facilitate learning. One
such tool, the Internet, has given
the area of distance education digital steroids that have
propelled online learning into a major
league status. In keeping up with emerging technologies,
schools are now hoping to incorporate
mobile learning into both their traditional and distance classes.
Universities are creating mobile
apps to allow students to participate in their classwork in and
out of the classroom (Olavsrud,
2011). The question for educators becomes whether mobile apps
are valid and valuable tools or
are just unneeded additions to their curriculums.
Pros of the Issue
Today people on their phones, email on their phones, shop on
their phones, and look for
the best gas prices on their phones. Anything someone can do
on his or her computer, he or she
can do on his or her phone. In most professions, it would be
difficult to succeed without a
mobile device. It allows for more efficient work. To facilitate
learning, one might ask why not
access and use all that mobile technology has to offer.

17. Kukulska-Hulme and Traxler (as cited in
Zawacki-Richter, Brown, & Delport, 2009) state that mobile
technologies can “open up new
opportunities for independent investigations, practical
fieldwork, professional updating, and on-
the-spot access to knowledge. They can also provide the
mechanism for improved individual
learner support and guidance, and for more efficient course
administration and management"
(para. 14).
Ed ti
Center the full title of the
document. Not Boldface.
pp
h th i h d l k f
When paraphrasing information, text citations
should include the author(s) and the year of
publication. If no year is available, use n.d. for
no date within the parentheses.
When using information from someone who is quoted within the
source but is not the author of the
source, this is called a secondary source. Here is an example of

18. how to cite a secondary source. Notice
that Kukulska-Hulme and Traxler are not listed on the reference
page because they are quoted within the
text by Zawacki-Richter, Brown, and Delport. Since this is a
direct quote a page or paragraph number must
be included to show where the quoted information is found and
will come at the end of the quote if the
author(s) and date are at the beginning of the sentence.
T d l th i h
This is a level one heading.
Centered, Boldface.
INTEGRATION OF MOBILE APPS INTO EDUCATION 4
Mobile applications (apps) can be used with campus maps and
GPS location to help
students navigate across campuses as well as access school
directories and event schedules,
Additionally, students can research schools’ libraries and other
facilities, find reference
information, practice needed skills, submit assignments, and
access grades. (Engebretson, 2010).
Campus groups can use apps to send mass messages and conduct
anonymous polling.

19. “Professors are able to utilize apps to send attendance reports,
send automatic emails to absent
students, and have class or group discussion forums”
(Engebretson, 2010, para. 3). General
educational apps from various authors can be downloaded by
students and can be very
beneficial. Apps in English Language Arts; Mathematics;
Science; History and Geography;
Language Development; Art, Music, and Creativity; Reference,
Productivity, and Collaboration;
and Accessibility could all play significant rolls in many
educational venues (Apple, 2012).
Cons of the Issue
As with any improvement to a system, there are difficulties and
obstacles to overcome.
One issue that surrounds using mobile apps in education is that
educators are trying to fit the
apps into the traditional, centuries’ old version of teaching
(Olavsrud, 2011). This is like fitting
a square peg into a round hole, and less tech-savvy educators
would rather not have to deal with
yet another technological advancement. Within learning
institutions, having apps that are usable
on a variety of systems is also an obstacle (Olavsrud, 2011).

20. Students and educators are using
varying devices and systems, and apps need to be able to work
efficiently across all these
systems. Long writing assignments are also difficult to
accomplish through an app on a phone or
tablet. Although shorter discussion forums work well, most
would agree that essays and any
kind of creative design are too complex to work out on a mobile
device. Security issues also
have to be recognized and dealt with especially “compliance
with the Family Educational Rights
at Direct quotations require the listing
of the author(s), year of publication,
and the page or paragraph number.
If a quote is not a complete thought and
is used as part of sentence, the quote
will NOT begin with a capital letter.
INTEGRATION OF MOBILE APPS INTO EDUCATION 5
and Privacy Act (FERPA) pertaining to student records”
(Olavsrud, 2011, p. 22). Quillen (2011)
also tells us that there are not many apps out there that have
“content designed to fit the face-to-

21. face classroom” (p. 16). Most apps designed to run on hand-
held devices do not let teachers
monitor student progress or save student data.
My Position on the Issue
As an educator, I want to use anything that will benefit my
students. Looking at the
overwhelming advantages of mobile apps and their potential use
within academia, I believe they
will become an important asset to education. I would like for
my GED students to be able to use
mobile apps to help them succeed in their test preparation.
There are not any adult basic
education apps, but there are some apps for basic subjects that
could be integrated into our
curriculum. My students might work harder and more often if
they could pull out their mobile
devices while waiting in the doctor’s office or in the car line
and work on skills they need to
build in order to pass the GED exam. Whether for GED, K-12,
or higher education, mobile apps
can be an unparalleled resource for educators and learners alike.
If someone were marketing a fantastic new brand of sneakers,
he or she would study

22. demographics and put ads in places where the population is
more apt to purchase the sneakers. If
someone running a restaurant was going to add a new sandwich
to the menu, he or she would
add something people really liked to eat. Why is education any
different? We need to take
education to where the students are. Among 18 to 24 year olds
in America, 67 percent own a
smartphone (Lytle, 2012). Students want to have access to their
technology no matter where
they are. Giving them access to their classes on their mobile
devices just makes sense.
The world of mobile applications is the new frontier (Quillen,
2011). As educators
explore it, they will find even better ways to use apps to
facilitate learning. As educators begin
N 5
This is another way to cite a direct
quote when using the author’s
name within the sentence.
e
Academic writing does not include 1st
person (I, me, my) unless the

23. assignment requires personal opinions.
INTEGRATION OF MOBILE APPS INTO EDUCATION 6
to deal with those pesky obstacles they encounter, they will
learn how to overcome them. Some
inventive software has already been developed by LanSchool
Technologies (Quillen, 2011). To
combat the issues involving teachers not being able to access
data from student’s work on apps, a
certification procedure has been implemented for apps. Apps
qualifying for certification give
codes to teachers for them to be able to access student progress
and usage (Quillen, 2011).
Mobile apps can transform how students learn. As Mike
Pennington so succinctly says
(as cited in Walker, 2012), “Schools need to embrace mobile
technology and mobile learning.
Students live in this world. These devices belong in the
classroom” (para.3). Whether it is
allowing college students to save money by not having to buy
expensive $100 scientific
calculators (because the app is only $1.99!) or letting GED
students practice basic algebra, apps

24. can be unparalleled learning resources. It is predicted that in
the next five years, smart phones or
tablets will be in the hands of every student in the United States
(Walker, 2012). Because of this,
using mobile apps in education seems to be inevitable.
If a quote is a complete thought,
it will begin with a capital letter.
INTEGRATION OF MOBILE APPS INTO EDUCATION 7
References
Apple. (2012). iPad in education. Retrieved from
http://www.apple.com/education/ipad/apps-
books-and-more/
Engebretson, J. (2010, February 3). Universities log on to hand-
held mobile apps. Retrieved from

25. http://connectedplanetonline.com/topics/distance-
learning/universities-hand-held-mobile-
apps-0203/index1.html
Lytle, R. (2012, September 21). 5 apps college students should
use this school year. U.S. News &
World Report. Retrieved from
http://www.usnews.com/education/best-
colleges/articles/2012/09/21/5-apps-college-students-should-
use-this-school-year
Olavsrud, T. (2011, June 20). Colleges deploying mobile
learning apps. Retrieved from
http://www.schools.com/articles/colleges-deploying-mobile-
learning-apps.html
Quillen, I. (2011). Mobile apps for education evolving.
Education Week, 04(02), 16-17.
Retrieved from
http://www.edweek.org/dd/articles/2011/02/09/02apps.h04.html
Walker, T. (2012). Get smart! Using mobile apps to improve
your teaching. NEA Today
Magazine. Retrieved from http://www.nea.org/home/41992.htm
Zawicki-Richter, O., Brown, T., & Delport, R. (2009). Mobile
learning: From single project
status into the mainstream? European Journal of Open, Distance
and E-Learning.

26. Retrieved from ERIC database.
The word “References” should
be centered at the top of the
page and is not boldface.
This is an example of a reference list. All text citations must
have a corresponding entry on the reference list.
It is formatted with a hanging indent and double-spacing.