MTH 60 Telecourse Packet v2.3
Welcome to the MTH 60 Telecourse.
Instructor: Linda Bastian
Portland Community College
Math, Sylvania ST 104
PO Box 19000
Portland, OR 97280-0990
Office: Sylvania Campus, ST 104
Email: lbastian@pcc.edu
Phone: 971-722-8066
Web: http://spot.pcc.edu/~lbastian
Fax: 971-722-8259 (Include my name and your name
on every page. Only white pages written in dark
ink can be read after being faxed.)
--Please check my website for Midterm, Quiz, Final and Worksheet Due dates
--Please check D2L regularly (at least 3 times each week) for corrections and updates. Introduce
yourself on the discussion board by Wednesday of Week 1 to remain in the class.
--See Distance Learning in the class schedule for other pertinent information.
WHAT IS A MATH TELECOURSE?
The Math 60 telecourse is all independent learning except for 2 proctored exams. You view 3 hours of
video recorded lessons each week (reserve 4-5 hours for this so you can take notes, pause and rewind,
practice, etc.). (These are NOT the CD videos that may come with your text)
For more information visit http://www.distance.pcc.edu/
Click on Distance Learning, TV
Viewing Options:
1. YouTube http://www.youtube.com/view_play_list?p=E66E98BF78850BC7
NOTE: Make sure you view 2 entire lessons each week. Each lesson is about 1 ½ hours and may be on
several different YouTube videos. Each lesson shows all 3 instructors .
2. Cable TV: Comcast Cable Ch27-for those in the PCC district only
Viewing problems: 971-722-4730 or 503-977- 4950 (Do NOT contact your instructor.)
3. PCC Libraries: www.pcc.edu/library
CAN I TREAT THIS TELECOURSE THE SAME AS A WEB CLASS?
Yes, if you can view the videos on YouTube you can view them whenever you have internet access. For
extra computer practice you can use MYMATHLAB; it comes shrink wrapped, free with a new text from
PCC's bookstore, or it may be purchased separately. The Course ID will be available in the Content area in
D2L. You may also email your classmates and use the discussion board in D2L.
DO I NEED TO COME TO CAMPUS?
Yes, for the 2 proctored exams required for All PCC Math classes.
Exams: There will be a 200 point proctored midterm about the 3rd or 4th week of class and a 200 point,
proctored comprehensive final at the end of the term. (Check my web pages for the exact dates.) Both
exams for this class are closed-book, closed-notes and NO calculator. If you are not able to take the
exam at the scheduled time, you need to make arrangements to take the exam at an approved testing
center and have these arrangements approved by me at least two weeks prior to the exam date.
Please either bring a self-addressed, stamped envelope so I can mail back your midterm or pick it up from
the receptionist in ST 104 at Sylvania. It is important to view your graded work so you don’t make the
same mistakes on your final. I do not return final exams.
MTH 60 Telecourse Packet v2.3
WHAT OTHER MATERIALS DO I NEED?
Text: We are using a custom published version for Portland Community College of
Introductory Algebra for College Students (5th Edition)
By Robert F. Blitzer
Publisher: Prentice Hall
Copyright: 2009
We have removed sections from the "parent" text that we are not covering. Everything else will be the
same. The page numbers remain the same. There will just be some pages missing.
New texts from the bookstore are shrink-wrapped (FREE) with access to a Prentice Hall web based
tutorial (MyMathLab) and a Student Solutions Manual. These are optional and do not need to be
purchased if you buy a used text, or a new one elsewhere. Past students have found them very helpful.
Text Bundle: ISBN 9780558370985
This Mth 60 Telecourse Packet
MyMathLab is optional and can be purchased separately. MyMathLab has an electronic copy of the text.
Calculator: A scientific calculator is required. A graphing calculator is recommended for those going on
past Math 65.
Math 60 Supplement-Available for download on the Math Dept Web site. It is linked to in the Suggested
Exercises in this packet. It may also be available for purchase at the bookstore.
WILL THERE BE HOMEWORK?
Yes, there will be lots of homework!!! Homework is the most important part of the course. Just as you
cannot learn to play the piano by simply listening to someone play, you cannot learn mathematics simply
by watching the videos. You must practice, a lot, and quite frequently. You should set aside about 4 hours
between each viewing session to practice and finish homework assignments BEFORE the next lesson. The
skills and knowledge from any one lesson will be used to explain the next lesson. Homework is to help
you learn. It is not for the instructor and (with the exception of worksheets) will not be turned in. Your
suggested homework assignments are listed in this packet.
You should ALWAYS study with two pieces of paper (one to do the examples and problems and the
other to write down any questions, ideas, needed clarifications or concerns AS THEY COME UP) and a
pencil. If your questions are not cleared up in the course of your study, GET HELP and get them answered
well BEFORE taking a test.
You should read the sections that are going to be covered in a lesson before watching the lesson. This will
help you get more out of the lesson. Then read the sections again!
MTH 60 Telecourse Packet v2.3
WHAT WORK NEEDS TO BE TURNED IN?
Worksheets: There will be four worksheets (located later in this packet) due about the 2nd, 4th, 7th and 9th
weeks.(Check my web pages for the exact dates.) Each worksheet is worth 15 points. Make sure you
print all the pages and STAPLE before handing in.
All work for this class must satisfy the requirements specified in the MTH 60/65 PRESENTATION
REQUIREMENTS/DOCUMENTATION GUIDELINES (see pages of this packet).
You can mail (postmark the day before the due date), deliver it to the receptionist in my office (use
the Mail Slot if the office is closed), scan and upload to the D2L drop box or fax the worksheet to
me. I must be able to read the scan or fax. Use dark ink on white paper.
Please either enclose a self-addressed, stamped envelope so I can mail back your graded worksheet or pick
it up from the receptionist in ST 104 at Sylvania. It is important to view your graded work for feedback
before completing the next worksheet and before taking the midterm and final.
Due dates: The dates worksheets are due as well as the dates, locations and times for the midterm and
final exam will be posted on my website. You should also regularly check D2L and your MyPCC email
for messages and updates from me. If you are not able to obtain the due dates and exam schedule from my
website, ask on the D2L discussion board. You can also send a self-addressed, stamped envelope to me (as
soon as possible) if you would like me to mail you a hard copy of the schedule. Mailed assignments
must be postmarked no later than the day BEFORE the posted deadline or it will be considered late.
Keep a draft copy of all submitted work until you get back your graded work. Keep your graded work
until you get, and are satisfied with, your course grade.
Quiz: There will be a 40 point multiple choice quiz (located later in this packet) due about week 8 or 9.
You must document all the work needed to arrive at your answers on separate paper and hand it in. You
will also submit your answers on a Scantron for grading. It is a good review for your final.
Video Summaries: There will be 2 video summaries of the Telecourse Videos that you are watching.
They are each worth 10 points of your Midterm and your Final. The forms to fill out are located towards
the end of the packet. (These are NOT the CD videos that come with your text)
WHAT IF I FALL BEHIND OR DON’T DO WELL ON AN EXAM?
Late work: If unusual circumstances arise, you may submit one assignment late. However, the assignment will
not be graded and you will not receive any feedback on it. AFTER your final exam, if I feel it is needed to help me
decide a border-line grade, I will look at the quality of the work. More than one late assignment may result in lower
grades. It will be harder to know how you are doing if any of your assignments are late. An assignment is
considered late if I receive it after the due date or if it is postmarked on or after the due date
Missed (or poor) midterm exam: NO make-up exams are given. A missed exam (or a poor exam) score will be
replaced by your final exam score. You may get permission to submit a missed exam that I might use to help decide
a borderline grade-but the exam will NOT be graded. It will be harder to know how you are doing if you miss an
exam, and the bulk of your grade will depend on your final.
Missed (or poor) final exam: You cannot pass the class if you do not take your final exam or if you
score below 100 points out of 200 (50%) on your final. *****Please be aware that your final exam must be
in the range of your desired grade. If you study and practice diligently, this should not be a problem. A
grade average of 80 and a final exam of 115 out of 200 points put you in the D category. *****
MTH 60 Telecourse Packet v2.3
WHAT IF I NEED HELP?
By enrolling in a telecourse, you are identifying yourself as a potential INDEPENDENT learner. If you
find that you need a lot of help, then perhaps you need the environment of a normal classroom after all.
Now and then, however, you will still need a momentary, quick boost to get unstuck from some particular
problem or question. Here are some suggestions to get this help.
1. Contact your instructor (see page 1 of this packet)
2. Get help from a tutor in a math center on a PCC campus:
http://www.pcc.edu/resources/tutoring/
3. PCC libraries may have copies of the videos that can be checked out and viewed on VCR
players on site.
4. Do not hesitate to read a good textbook or search the internet.
5. Check out my instructional web page. http://spot.pcc.edu/~lbastian
6. Your text has supplements: MyMathLab (More details in the beginning of your custom
published text AND later in this packet.), Tutoring by phone, fax or email, videos.
WHEN DO I WATCH TV AND WHAT DO I DO?
The viewing schedule lists times and a lesson by lesson schedule. Keep it handy. www.pcc.edu/tv
WHAT IF I MISS A SCHEDULED VIEWING TIME?
1. Be aware of alternate viewing times and watch them.
2. If you own a VCR, DVR, etc., then arrange to have the lesson recorded for you.
3. Come to a PCC library and view the missed lesson.
4. View the lectures on YouTube: http://www.youtube.com/view_play_list?p=E66E98BF78850BC7
WHO DO I CALL ABOUT VIEWING PROBLEMS?
Check to be sure that you can view the videos on cable from your home. If you cannot, you will have to
record them at the house of a friend, view them at a PCC library, rent them or view on YouTube.
If you receive the channel but there is a problem with the normal viewing, do not call the instructor. Call
971-722-4402.
HOW IS MY GRADE CALCULATED?
Your course grade will be determined by a combination of the total number of points you earn on the four
worksheets, the quiz, the midterm and the final. You must also earn a minimum score on your final.
A: 450 – 500 and more than 175 points on your final.
B: 400 – 449 and more than 155 points on your final.
C: 350 – 399 and 116 or more points on your final.
D: 300 – 349 or from 75 to 115 points on your final.
F: 0 – 299 or fewer than 75 points on your final.
MTH 60 Telecourse Packet v2.3
MTH 60/65 Presentation Requirements/Documentation Guidelines (or how to answer math
questions correctly so you can get full credit!)
It is very important to document your work correctly when working an algebra problem. For this reason, I
am going to ask you to be very precise about documenting your work. Always start by writing the original
problem (including the directions). When you are working a problem that requires several steps, record all
of the terms in each step and line up your equal signs.
Rules of Thumb

A number, such as 5, all by its lonesome, is not a well-presented conclusion.
Well-presented conclusions (depending on the type of problem):
--The solution is 5.
--The distance to the ballpark is 5 km.

Equal signs must be used when changing the form of an expression. When asked to simplify an
expression, always start the presentation of the solution with the original expression on the left hand
side of the equal sign (= ) and show one simplification on the right. Then work down and line up the
equal signs.
Example: Simplify the expression 3 + 5 (7 – 1)
Well-presented simplification problem:
Rewrite or paraphrase the given instructions.
Simplify:
3  5(7  1)  3  5(6)
 3  30
Rewrite the original expression on the left = the
first simplification on the right. Keep working
DOWN (not across). Line up = signs.
 33

Expressions on either side of an equal sign must be equivalent.
Example: Solve and check 2x – 5 = 11
Incorrect presentation:
This presentation is missing the given instructions. (Solve and check)
2 x  5  11
 2 x  5  11  5
 2 x  16
 x 8
This line is a lie even though the student reached the correct
conclusion! +5 must appear on BOTH sides of the equation.
Also, the conclusion is not stated separately in a sentence .
Do NOT start equations with an = sign. Use only ONE = sign per line.
Check: 2(8) = 16 – 5 = 11 This check is incorrect as this actually says that 16 = 16 – 5 which is false.
This presentation is missing a sentence that states the solution.
MTH 60 Telecourse Packet v2.3
Correct presentation:
Rewrite or paraphrase the given instructions.
Solve and check.
2 x  5  11
2 x  5  5  11  5
2 x  16
2 x 16

2
2
x 8
Correctly show the properties of equality when
first learning or when asked..
Note: Equal signs need not be lined up when
solving an equation. (But they can be.)
Only ONE = sign per line.
The proposed solution is 8.
Check: If x = 8, then the left hand side is
2 x - 5  2(8) - 5
 16 - 5
 11
The right hand side is also equal to 11.
The conclusion is stated separately in a sentence.
The solution to the equation is 8.
(Note, if there was a variable on the right hand side, you would have to evaluate the right hand side as
well. If both sides have the same value, you have found the correct solution.)
Do not confuse simplifying expressions with solving equations. Make sure you understand the difference.
When you simplify an expression you don’t have a solution.
Don’t solve equations by putting an = sign at the beginning of each equation.
MTH 60 Telecourse Packet v2.3
Graphing
 Axes on graphs must be labeled and scaled. Otherwise the graph cannot be read and interpreted. Figure
numbers and captions are always a good idea.
V
Volume in liters
Variable label
Variable label
Scale
t
time in minutes
Figure 1: The volume of water in a tub
Figure
number
Good labels include
units, where
appropriate..
Caption
When preparing work for submittal, the student should keep in mind that:
 all applications (story problems – example follows) must be answered in complete sentences,
 illegible work will remain unmarked,
 ambiguous conclusions will be misinterpreted,
 analyses using improper notation and/or incomplete mathematical sentences will be rejected,
 solutions with incorrect units are incorrect solutions,
 undefined variables have no meaning, and
 graphs with unlabelled and/or unscaled axes have no meaning.
MTH 60 Telecourse Packet v2.3
Statement of the
problem to be solved
Example of a well-presented solution to an application problem
A car phone company offers two basic plans for the poor executive: plan A and plan B. Plan A is a
monthly service charge of $10, and a charge of 90¢ a minute for telephone air time; plan B is a monthly
charge of $24, and a charge of 70¢ a minute for telephone air time. Create a mathematical model that
describes each plan and use these models to estimate when one plan is better than the other.
$10 + .90(number of minutes) = total monthly charge for Plan A
$24 + .70(number of minutes) = total monthly charge for Plan B
The variable is
well defined
Let n represent the number of minutes of telephone air time used in a month.
(Note: n = minutes is NOT a well defined variable)
Then setting the total monthly charge for Plan A equal to the total monthly charge for plan B to find out
how many minutes would cause the two plans to charge the same amount for a month, I obtain
10 .90n  24  .70n
Solving for n,
10  .90n  .70n  24  .70n  .70n
10  .20n  24
10  10  .20n  24  10
.20n  14
.20
14
n
.20
.20
n  70
An explanation of the
problem-solving
strategy
Therefore, both plans charge the same amount if the telephone air time for the month is 70 minutes. Since
Plan B has the higher monthly charge, Plan B will cost more if fewer than 70 minutes are used and Plan A
will cost more if more than 70 minutes are used. In other words, Plan A is a better deal if less than 70
minutes are used and Plan B is a better deal if more than 70 minutes are used.
The conclusion is clear;
correct units are included.
MTH 60 Telecourse Packet v2.3
Suggested Exercises (Blitzer) Note: Some topics are covered a little earlier in your text than on the videos, and vice
versa. Make sure you read the text and view the videos before doing the suggested exercises.
Week
Video
Lesson
Topic/Title
1
Introduction
Review of fraction
arithmetic
2
The real number line
Introduction to
graphing
1
Suggested Exercises
1.1: 5,11,17,23,29,35,41,47,53,59
1.2: 5,11,17,21,23,29,35,41,47,53,59,63,65,69, 91,
95,103,105,115,117,123,125,136-142 all, 145, 146, 148,
150-152all
1.3: 5,11,17,19,23,29,35,41,47,55,59,65,71,77,79,
81,87,89,95, 101 ,121
4.1: 1,3,5,7,8,11,17,25,33,
1.5
3
Arithmetic of real
numbers
4
Properties of real
numbers
Exponents and
Order of operations
3,5,11,17,23,29,35,39,43, 71,75 (read directions!
Write a sum!) 79 (use the bar graph), 84,85,93
1.6 1,3,5,11,17,23,29,35,41,47,53,59,65,71
95,97, 101,
1.7 5,11,17,23,29,33,35,41,47,53,59,63,65,71,
1.8:
2
5,11,13, 29,35,41,47,53,59,65,71,
83,93,95 ,111,119,121-123
M60 Supplement Questions from 1.8 at:
http://spot.pcc.edu/math/download.htm
Note: [§1.8 means Section 1.8}
1.1: 65,69,75,85 (Make sure to read the question, bar
5
Algebraic expressions
graph and formula above the question!), 92,94
1.4: 3,5,11,13,19,23,25,35,39,43,49,55,61,65,67,69,75,77
(don’t forget the problem intro at the bottom of the
previous column.), 87,89,91,93, 94,97-99
1.5: 47,53,59,61,65,67,69,100-105all.
1.6: 77,83,85,87,91,93, 103, 115,123,125,127,128-130
1.7:
77,83,89,95,97,101,103,109,111,115,117,119,134,
135, 138-141, 142, 146-148, 149-151
1.8: 17,23,25, 77, 99,101,103,105
3
Pages 102-106 as many as needed for review. Remember your text
comes with a CD that has the chapter tests worked out.
Chap 1 Review
6
7
4
8
5
9
Pages 96-101
Solving linear
equations
1.1:
2.1:
2.2:
Review this section again
1,5,11,17,23,29,35,41,47,53,59,63,65,67,71,84,85
5,11,17,23,29,35,41,47,53 (Show the properties.
Check solutions following order of operations.)
59,63,67,69 Be sure to write down the equation and
define any variables used. 88-90,91-93
2.3: 1,5,11,17,23,29,35,41,47,51,53,59,61 (Show the
properties. Check solutions following order of operations.)
69, 73, 75,82,91, 96-98,99,101
2.6: 5,11,17, 129,131,132
Linear equations
Solutions sets, setbuilder notation and
interval notation
Linear inequalities
2.6: 23,29,35,41,47,53,59,65,71,77,83,85,89,91,
97,99,101,105,107,109,113,114,125,
with one variable
2.4: 5,11,17,23, 69,71, 105,107,108
Formulas
2.5: 5,11,17,23,29,33,39,45 ,55,59 Be sure to write down
Problem solving
the equation you used to solve problems and define any
using linear equations variables used.63,64,65, 66,68
MTH 60 Telecourse Packet v2.3
10
Problem solving
using percents
Chapter 2 Review
2.4:
2.6:
5,11,17,23,29,35,41,47,53,59,65,71,77,83,85,89,91,
97,99,101,105,107,109,113,114,125,129,131,132
Pages 177-181 as many as needed for review. Remember your
text comes with a CD that has the chapter tests worked out.
3.1:
Week
Video
Lesson
11
6
12
Topic/Title
29,35,37,39,41,47,53,57,59, 73,83,
1,3,7,9,13,19,21,25,40,41,45,48,51-54
Suggested Exercises
Problem solving
3.2: 1-9 odd, 13,15,19,21,25,29,35,37,59,60-63,65
using ratios, rates,
3.3: 35,41,92,95-97
proportions and angle
measure
Problem solving
3.3: 1,3,5,11,17,19,29, ,51,57,59
using geometric
Pages 218-222 as many as needed for review. Remember your
formulas
text comes with a CD that has the chapter tests worked out.
Chapter 3 Review
7
13
14
15
8
16
17
9
18
19
10
20
Introduction to linear
equations with two
variables
4.1: 41, 47, 53, 55, 59, 65, 71, 77 ,87, 89, 97-
Introduction to slope
Comparing slopes
Graphing linear
equations with two
variables
4.3:
4.3: 23,25,27,29,31,45,53-55,
4.4: 5,11,17,23,29,35,41,47,51
Determining the
equation of a line
Point-slope form
Linear modeling
Linear inequalities
with two variables
Summary of linear
equations with two
variables,
applications
Chapter 4 Review
101, 109, 117,119,120-122
4.2:
1,3,5,7,8,11,17,25,33,37,39,41,43,45,49,51,61,7175 all, 77,78,79,91,92,99,101
3.5,7,9,11,13,19,21, 74,75,77
4.4: 57, 65
4.5: 59,60-62 & additional exercises 1-3 on the
next 2 pages of this packet
4.5: 5,11,17,23,29,39,50,51, & linear application
supplement #1-10 (in this packet)
4.6: 3,7,9,11,21,23,31,37,39,41,43,45,47,54,55,67,7274,75
4.5 p269
10.6 1-37odd, 41, 43, 44, 45, 61
M60 Supplement questions from 10.6 at:
http://spot.pcc.edu/math/download.htm
Note: [§10.6] means Section 10.6
Read pages 281-284 and do Pages 285-288 as many as
needed
More linear modeling
Comprehensive Final Study for final 
MTH 60 Telecourse Packet v2.3
Additional Exercises for Lesson 17 (the questions)
1. Find equations for the lines graphed in Figure 1 through Figure 6.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
MTH 60 Telecourse Packet v2.3
2. The population of a suburb of Portland was 12,500 in 1990. The population of the suburb has been increasing at
an average rate of 750 people per year.
a. Write a linear equation that gives the town’s population in terms of the year, using the following variables:
t: number of years since 1990
P: population
b. Use the linear equation to predict the suburb’s population in 2005. Show all work.
3. A storage tank at a production factory holds 250 gallons of a liquid chemical. After two hours there are 210
gallons remaining.
a. Assuming that the tank is filled at the beginning of each shift, find a linear equation that gives the amount of
chemical in the tank in terms of the number of hours into the shift. Be sure to define any variables used.
b. Use the linear equation to determine when the tank will be half empty.
Additional Exercises for Lesson (the solutions)
1. Figure 1: y  2 x  3
1
x2
3
5
d   t  7.5
2
25
z
r  12.5
2
3
b 7 a
20
7
d
c
20
Figure 2: y 
Figure 3:
Figure 4:
Figure 5:
Figure 6:
2. a. P = 12500 + 750t
b. According to the model, the population of the suburb will be 23,750 in 2005.
3. a. Let t represent the amount of time (in hours) since the shift began, and let A represent the amount of chemical
(in gallons) remaining in the tank.
A = 250 – 20t
b. The tank will be half empty in 6 hours and 15 minutes.
MTH 60 Telecourse Packet v2.3
Linear Models Supplement-(the questions)
1. The life span of an insect can be modified by the temperature of the environment. Assume that the
relationship between temperature of the environment (in degrees Celsius) and life span of the fruit fly
(in days) is linear. If a population of fruit flies has a life span of 80 days at a temperature of 10 degrees
and a life span of 50 days at a temperature of 20 degrees, write a linear relationship between the
temperature and the life span. What is the life span at a temperature of 25 degrees? At what
temperature is the life span 92 days?
2. Happy Cow 2% reduced fat milk can be used 10 days after opening if it is stored at 40 degrees
Fahrenheit and 25 days after opening if it is stored at 32 degrees Fahrenheit. Assume that the number
of days that fresh milk stars unspoiled depends linearly on the temperature at which the milk is kept.
a. Write a linear equation for this relationship.
b. How long will the milk stay unspoiled at 34 degrees?
c. If the milk is supposed to last 30 days, at what temperature should it be stored?
d. What is the slope of your equation and what does it mean in practical terms? Make sure you
interpret the slope as a rate.
3. Suppose there were 200 web pages on a particular site on June 1, 2005. Suppose that 5 weeks later
there were 206 web pages on that site.
a. Write a linear equation that gives the number of web pages on the site n weeks after June 1, 2005.
b. How many web pages were on the site on June 22, 2005?
c. When were there 224 web pages on the site?
d. What is the slope of your equation and what does it mean in practical terms? Make sure you
interpret the slope as a rate.
4. Savannah worked 12 hours one week and earned $100.80. The next week she worked 17 hours and
earned $142.80. Write a linear equation that gives Savannah’s weekly wages based on the number of
hours she worked that week. If Savannah works 15 hours in a week, how much does she make? If
Savannah earns $193.20 in a week, how many hours does she work?
5. Suppose that a 9 lb turkey takes 3 hours to cook and a 20 lb turkey takes 6 hours and forty minutes to
cook. Write a linear equation describing this relationship. How many hours does a 14 lb turkey take to
cook? If a turkey takes 4 hours to cook, how much does the turkey weigh?
6. Logan and Elijah are starting a business tutoring students in math. They rent an office for $400 per
month and charge $40 per hour per student. Write a linear equation that gives their monthly profit in
terms of the total number of hours they spend tutoring in a month. How many hours must they tutor in
a month to cover the cost of renting the office? What is their profit if they tutor a total of 23 hours in a
month? How many hours do they have to tutor in a month in order to make a profit of $2040?
7. In 1990, 35 million years of healthy life was lost globally due to tobacco. This quantity grew linearly
at a rate of 28 million years each decade. In contrast, 100 million years of healthy life were lost due to
diarrhea in 1990, with the rate going down linearly 22 million years each decade. Write two linear
equations representing the years of healthy life (in millions) lost to tobacco and diarrhea. Find the year
the amount of healthy life lost to tobacco first exceeded that lost to diarrhea.
8. A bike shop rents mountain bikes for an $8.50 insurance charge plus $3.50 per hour. Write an equation
that gives the total cost of renting a mountain bike based upon the number of hours rented. How much
does it cost to rent a bike for 4 hours? How many hours can you rent a mountain bike for $33.
9. The equation 200 A  100C  1500 relates the adult ticket price, A, (in dollars) to the children’s ticket
price, C, (in dollars) for a spaghetti dinner to raise $1500 in funds for the zoo.
a. Solve the equation for C.
b. What is the slope of this linear relationship and what does it mean in practical terms?
c. What are the horizontal and vertical–intercepts of this equation?
d. What do these intercepts mean in practical terms?
MTH 60 Telecourse Packet v2.3
e. If adult tickets cost $6 each, what does a child’s ticket cost?
10. On January 1, 1990, the population of Georgia was 6.5 million and the population of North Carolina
was 6.8 million. On January 1, 2003, the population of Georgia was 8.7 million and the population of
North Carolina was 8.4. Write two linear equations to model the populations of the two states. Use
your equations to determine when the two states will have equal populations. What is that population?
Linear Models Supplement (the answers)
1. Let L represent the life span of the fruit fly (in days) at a temperature of T (in degrees Celsius).
L  3T 110
The life span is 35 days when the temperature is 25 degrees Celsius.
The temperature is 6 degrees Celsius when the life span is 92 days.
2. a. Let N represent the number of days the milk can be used if it is stored at a temperature of T (in
degrees Fahrenheit).
N  2T  90
b. The milk can be used for 22 days if it is stored at 34 degrees Fahrenheit.
c. If the milk is stored at 30 degrees Fahrenheit, then it can be used for 30 days.
d. The slope is 2 and it means that the number of days the milk can be used is decreasing at a rate of
days
2
.
°F
3. a. Let W represent the number of web pages on the site n weeks after June 1, 2005.
W  1.2n  200
b. There were 203.6 web pages on the site on June 22, 2005.
c. There were 224 web pages on the site on October 19, 2005.
d. The slope is 1.2 which means that the number of web pages is increasing at a rate of
web pages
1.2
week
4. Let W represent Savannah’s weekly pay (in dollars) if she works h hours.
W  8.4h
Savannah makes $126 if she works 15 hours in a week.
Savannah works 23 hours if she makes $193.20 in a week.
5. Let t represent the time (in minutes) it takes a turkey that weighs w (in lbs) to cook.
t  20w
It takes 4 hours and 40 minutes for a 14 lb turkey to cook.
A 12 lb turkey takes 4 hours to cook.
6. Let P represent their monthly profit (in dollars) if they tutor for a total of h hours in a month.
P  40h  400
They must tutor a total of 10 hours in a month to cover the cost of renting the office.
They make a profit of $520 if they tutor a total of 23 hours in a month.
The tutor a total of 61 hours if they make $2040 in a month.
7. Let T represent the number of years (in millions) of healthy life lost globally due to tobacco n years
after 1990.
Let D represent the number of years (in millions) of healthy life lost globally due to diarrhea n years
after 1990.
T  2.8n  35
D  2.2n  100
MTH 60 Telecourse Packet v2.3
These two lines intersect at n = 13, so the number of years of healthy life lost globally due to tobacco
was the same as the number of years of healthy life lost globally due to diarrhea in 2003. After that,
there have been more years of healthy life lost to tobacco than to diarrhea.
8. Let T represent the total cost (in dollars) to rent a mountain bike for h hours.
T  3.5h  8.5
It costs $22.50 to rent a mountain bike for 4 hours.
If you rent a mountain bike for 7 hours, the total cost is $33.
9. a. C  2 A  15
b. The slope is 2 which means that the cost of a child’s ticket is decreasing at a rate of
dollars
.
2
dollar increase in adult ticket price
c. The horizontal-intercept is  7.5,0  and the vertical-intercept is  0,15 .
d. The horizontal-intercept doesn’t have a practical meaning since the cost of an adult ticket cannot be
negative. The vertical intercept means that if adult tickets are free, then the cost of a child’s ticket
is $15.
e. If adult tickets cost $6 each, a child’s ticket costs $3.
10. Let G represent the population of Georgia (in millions) at time, t, where time is measured in years
since January 1, 1990.
Let N represent the population of North Carolina (in millions) at time, t, where time is measured in
years since January 1, 1990.
11
G  t  6.5
65
8
N  t  6.8
65
According to these equations, the two states will have equal populations 41 16 years after January 1,
1990, that is on March 1, 2031. The population will be about 13.5 million.
MTH 60 Telecourse Packet v2.3
Getting Started with MyMathLab
MyMathLab is an interactive website where you can:





Self-test to improve your math skills and create your personal study plan
Practice exercises to help with specific textbook sections
View a video for further understanding
Work interactive problems in the Multimedia textbook
Use customized materials prepared by your instructor
What do you need to get started?
What steps do I take next? (More help in the beginning of your custom published text.)
1) In order to register, you will need the Course ID ____Please check your MyPCC email for this AFTER
the course has begun.
2) Go to www.coursecompass.com. For an audio tour on how to register, click on ‘Take a Tour’, and
select the ‘Register and enroll in a course with a code’ tour.
3) Click on the Students ‘Register’ button.
4) Enter your six-word access code found inside your student access kit, under the tab.
5) Register only ONCE using the access code in your kit. You will create your own Login Name and
Password. After registration you’ll receive a confirmation email.
6) After you've registered: Login at http://coursecompass.com (bookmark this URL), using the Login
name and Password you have just created.
7) From the “Welcome page” click on your course, then choose the “Installation Wizard” link to check
that your computer has the required set-up and plug-ins. The MathXL player must be installed for
you to work exercises within the tutorial, homework, and tests.
8) For help on entering answers, go to the audio tour: http://www.mymathlab.com/tours.html
and click on the How to Enter Answers Using the MathXL Player link.
* If you have questions or need assistance call tech support at 1 800 677 6337
MTH 60 Telecourse Packet v2.3
MTH 60 Worksheet 1 (Blitzer 5ed 1.1-1.8, 4.1p224-225)
Instructor: Linda Bastian
Name_____________________________
Date_____________________________
Check http://spot.pcc.edu/~lbastian for due date
--To earn full credit for this worksheet, you must follow the MTH 60/65 Presentation Requirements/Documentation
guidelines located towards the beginning of this packet. Please staple multiple pages.
--You are encouraged to help each other, work together and/or get help, but identical or nearly identical, carbon copy work is
subject to 50%-100% penalty. DO NOT COPY!! Do your own write up.
--You can mail (postmark the day before the due date), deliver it to the receptionist in my office (use the Mail Slot if the office
is closed), scan and email or fax the worksheet to me. I must be able to read the scan or fax. Use dark ink on white paper.
--If you wish to have the graded worksheet mailed back to you, please enclose a self-addressed, stamped envelope. Otherwise,
I will leave your graded worksheet in “the tub” so that you can pick it up from the receptionist in ST 104.
--Remember: Keep in mind that your homework is part of your "grade application," just as a cover letter and resume are part of
a job application. Impressions count. Neatness and completeness make a lasting impression on the instructor (so does
turning your homework in on time). You should work on a separate “draft” copy, then redo here when you’re sure of your
answers. Keep your draft copy until your graded worksheet is returned.
1. Perform the indicated operation and simplify, if possible. Remember to start with the original
expression and line up your equal signs. Show ALL of your work, including any reducing that you do.
a.
1 2

3 15
b.
5 5

2 6
c.
1 5

6 6
d.
5 3

4 8
2. List all numbers from the set {2.4, 22,3,  ,0, 36, 42 ,0.213} that are
(a) natural numbers___________________________
(b) irrational numbers_________________________
(c) rational numbers__________________________
3. Simplify
2  7  3  4(1  2) 
MTH 60 Telecourse Packet v2.3
4. Plot the following points and indicate which quadrant each point is in.
A (3, 2)
B (2, 4)
C (1,5)
D ( 3, 0)
5. Fill in the following with word positive or negative to make a true statement.
a. The product of a negative number and a positive number is a ___________number.
b. The product of two negative numbers is a ___________number.
c. The quotient of two negative numbers is a ___________number.
d. The sum of two negative numbers is a ___________number.
e. The reciprocal of a negative number is a ___________number.
f. The absolute value of a negative number is a ___________number.
g. The absolute value of a positive number is a ___________number.
h. The opposite of a negative number is a ___________number.
6. If a = – 5, b = – 3 and c = 2 evaluate each expression. If the expression is undefined, say so.
a. 4a – 7b + ac
b.
 b  b 2  4ac
2a
MTH 60 Telecourse Packet v2.3
MTH 60 Worksheet 2 (Blitzer5 1.1,1.8,2.1-2.3)
Instructor: Linda Bastian
Name_____________________________
Date _____________________________
Check http://spot.pcc.edu/~lbastian for due date
--To earn full credit for this worksheet, you must follow the MTH 60/65 Presentation Requirements/Documentation
guidelines located towards the beginning of this packet. Please staple multiple pages.
--You are encouraged to help each other, work together and/or get help, but identical or nearly identical, carbon copy work is
subject to 50%-100% penalty. DO NOT COPY!! Do your own write up.
--You can mail (postmark the day before the due date), deliver it to the receptionist in my office (use the Mail Slot if the office
is closed), scan and email or fax the worksheet to me. I must be able to read the scan or fax. Use dark ink on white paper.
--If you wish to have the graded worksheet mailed back to you, please enclose a self-addressed, stamped envelope. Otherwise,
I will leave your graded worksheet in “the tub” so that you can pick it up from the receptionist in ST 104.
--Remember: Keep in mind that your homework is part of your "grade application," just as a cover letter and resume are part of
a job application. Impressions count. Neatness and completeness make a lasting impression on the instructor (so does
turning your homework in on time). You should work on a separate “draft” copy, then redo here when you’re sure of your
answers. Keep your draft copy until your graded worksheet is returned.
1. Simplify 3a  5b  7a  6b . Remember to start with the original expression on the left of the = sign and
one simplification on the right, then line up the = signs as you show simplification on the right hand
side (Check the documentation guidelines for an example).
2. Simplify 6 x  3x[5  2(3 x  5 y )]  y . Remember to start with the original expression, etc.
MTH 60 Telecourse Packet v2.3
3. Solve and check. 3  r  5 . Show all of your work.
example).
4.
Solve and check.
2
5
t  . Show all of your work.
7
3
(Check the documentation guidelines for an
MTH 60 Telecourse Packet v2.3
5.
Solve and check. 7 x  8( x  1)  4( x  3)  3 x . Show all of your work.
MTH 60 Telecourse Packet v2.3
6. Solve and check.
5b
2b
5
5b
is the same as  b )
2
 1 . Show all of your work. (Hint for the check:
4
4
4
3
MTH 60 Telecourse Packet v2.3
MTH 60 Worksheet 3 (Blitzer5ed 2.4,2.5,3.1-3.3)
Instructor: Linda Bastian
Name_____________________________
Date _____________________________
Check http://spot.pcc.edu/~lbastian for due date
--To earn full credit for this worksheet, you must follow the MTH 60/65 Presentation Requirements/Documentation
guidelines located towards the beginning of this packet. Please staple multiple pages.
--You are encouraged to help each other, work together and/or get help, but identical or nearly identical, carbon copy work is
subject to 50%-100% penalty. DO NOT COPY!! Do your own write up.
--You can mail (postmark the day before the due date), deliver it to the receptionist in my office (use the Mail Slot if the office
is closed), scan and email or fax the worksheet to me. I must be able to read the scan or fax. Use dark ink on white paper.
--If you wish to have the graded worksheet mailed back to you, please enclose a self-addressed, stamped envelope. Otherwise,
I will leave your graded worksheet in “the tub” so that you can pick it up from the receptionist in ST 104.
--Remember: Keep in mind that your homework is part of your "grade application," just as a cover letter and resume are part of
a job application. Impressions count. Neatness and completeness make a lasting impression on the instructor (so does
turning your homework in on time). You should work on a separate “draft” copy, then redo here when you’re sure of your
answers. Keep your draft copy until your graded worksheet is returned.
1. Solve p  15 
5d
for d.
11
MTH 60 Telecourse Packet v2.3
2. The product of 3 more than a number and 11 is 165. What is the number? Remember to define your
variable, show all of your work and answer in a complete sentence.
MTH 60 Telecourse Packet v2.3
3. A rectangular sandbox is 1 34 feet longer than it is wide. If the perimeter is 37 12 ft, what are the
dimensions of the sandbox? Remember to define your variable (with units), show all of your work and
answer in a complete sentence. (For full credit this must be done using only one variable. The 2nd
unknown must be defined in terms of the first unknown.)
MTH 60 Telecourse Packet v2.3
4. At the north campus of a performing arts school, 10% of the students are music majors. At the south
campus, 90% of the students are music majors. The campuses are merged into one east campus. If 42%
of the 1000 students at the east campus are music majors, how many students did the north and south
campuses have before the merger? Remember to use and define only one variable, show all of your
work and answer in a complete sentence.
MTH 60 Telecourse Packet v2.3
MTH 60 Worksheet (Blitzer5 4.1-4.4)
Instructor: Linda Bastian
Name_____________________________
Date _____________________________
Check http://spot.pcc.edu/~lbastian for due date
--To earn full credit for this worksheet, you must follow the MTH 60/65 Presentation Requirements/Documentation
guidelines located towards the beginning of this packet. Please staple multiple pages.
--You are encouraged to help each other, work together and/or get help, but identical or nearly identical, carbon copy work is
subject to 50%-100% penalty. DO NOT COPY!! Do your own write up.
--You can mail (postmark the day before the due date), deliver it to the receptionist in my office (use the Mail Slot if the office
is closed), scan and email or fax the worksheet to me. I must be able to read the scan or fax. Use dark ink on white paper.
--If you wish to have the graded worksheet mailed back to you, please enclose a self-addressed, stamped envelope. Otherwise,
I will leave your graded worksheet in “the tub” so that you can pick it up from the receptionist in ST 104.
--Remember: Keep in mind that your homework is part of your "grade application," just as a cover letter and resume are part of
a job application. Impressions count. Neatness and completeness make a lasting impression on the instructor (so does
turning your homework in on time). You should work on a separate “draft” copy, then redo here when you’re sure of your
answers. Keep your draft copy until your graded worksheet is returned.
1. Graph 3x  5 y  15 using intercepts and at least 2 other solutions. Be sure to label and scale the axes.
Make sure I can follow your work on how you arrived at your graph.
2
2. Graph n  t  5 using the slope and the vertical intercept. Be sure to label and scale the axes. Recall
3
that in this form, t is the independent (or input) variable and the equation will have solutions in the
form (t, n). Make sure I can follow your work on how you arrived at your graph.
MTH 60 Telecourse Packet v2.3
(in gallons)
V is volume of water in the tub
3. Find the slope of the line graphed and explain what it means in practical terms.
t is time since tub was plugged
(in minutes)
Figure 1: Volume of water in Lucy's bathtub
4. At 9:00 AM, Kieran rented a mountain bike from The Bike Gallery. He returned the bicycle at 11:00
AM, after cycling 14 mi. Kieran paid $15 for the rental.
a. Find Kieran’s average speed, in miles per hour.
b. Find the rental rate, in dollars per hour.
c. Find the rental rate, in dollars per mile.
MTH 60 Telecourse Packet v2.3
Telecourse Video Summary I
Linda Bastian, Instructor




Name___________________________
Due when you take your midterm exam
Choose one of the following telecourse videos from LESSON: 3, 5 or 8 (If you are webstreaming, there are 2 or more sessions-all 3 instructors- that go with each lesson.)
10 points (out of 200) part of Exam 1. This must be handed in when you take your exam.
For the best learning experience and full credit, please choose problems that are somewhat
challenging or enlightening for you. So even though 4 + 5 = 9 may be shown in Lesson 3, you
would not get credit for that.
2 sides-Please staple any separate pages
(0.5 pt) I have chosen the Video from Lesson #___
(0.5 pt) The title (topic covered) of this Lesson is ______________________.
From each instructor, choose one example that was demonstrated and rewrite it here:
Ann Sitomer
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
Steve Simonds
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
MTH 60 Telecourse Packet v2.3
Kandace Kling
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
3 pts: Write a brief summary of at least 2 or 3 concepts explained in the video.
MTH 60 Telecourse Packet v2.3
Telecourse Video Summary
Linda Bastian, Instructor




Final
Name___________________________
Due when you take your Final
Choose one of the following telecourse videos from LESSON: 10, 11, 12, 15, 17 (If you are webstreaming, there are 2 or more sessions-all 3 instructors-that go with each lesson.)
10 points (out of 200) part of Exam 1. This must be handed in when you take your exam.
For the best learning experience and full credit, please choose problems that are somewhat
challenging or enlightening for you. So even though 4 + 5 = 9 may be shown in Lesson 3, you
would not get credit for that.
2 sides-Please staple any separate pages
(0.5 pt) I have chosen the Video from Lesson #___
(0.5 pt) The title (topic covered) of this Lesson is ______________________.
From each instructor, choose one example that was demonstrated and rewrite it here:
Ann Sitomer
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
Steve Simonds
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
MTH 60 Telecourse Packet v2.3
Kandace Kling
(0.5 pt) The original problem (including directions) is:
(1.5 pt) Show how the instructor answered the problem (make sure to include all the work)
3 pts: Write a brief summary of at least 2 or 3 concepts explained in the video.