MTH 65 Telecourse Packet v2.3
Welcome to the MTH 65 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, 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 65 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 near finals week. These will be 2 hour exams at the Sylvania campus. 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 65 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 65 Telecourse Packet
MyMathLab is optional and can be purchased separately. It comes with 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 65 Supplement-Available for download on the Math Dept Web site. It is linked to in the Suggested
Exercises in this packet. It may soon be available for purchase at the bookstore as well.
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 65 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. 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 in the drop box in D2L 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 your MyPCC email for messages and
updates from me. If you are not able to obtain the schedule from my website, please post on the discussion
board for help. 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.
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 115 points out of 200 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 percent and a final exam of 90 out of 200 points put you in the D (not passing) category.
*****
MTH 65 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
Sylvania: 971-722-4353
Cascade: 971-722-5263
Rock Creek: 971-722-7219
3. PCC libraries 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 on YouTube http://www.youtube.com/view_play_list?p=3F089092EE53DF6A
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, 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.
A: 415 – 460 and more than 170 points on your final.
B: 368 – 414 and more than 145 points on your final.
C: 322 – 367 and 116 or more points on your final.
D: 253 – 321 or from 75 to 115 points on your final.
F: 0 – 252 or fewer than 75 points on your final.
MTH 65 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. (When solving equations, not when simplifying an expression.)
--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 = and show one simplification on the right. Then work down and line up the equal signs.
DO NOT PUT = signs in front of an equation. = 2x+5=7 is NOT correct!
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 65 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. In Math 65 you can
usually do this mentally.
Note: Equal signs need not be lined up when
solving an equation. (But they can be.)
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 65 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 on the next page) 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 65 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.
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 fewer 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 65 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
Lesson
1
1
2
3
2
Topic/Title
Suggested Exercises
Introduction to 5.1 #1,3,7,11,15,19,21,25,27,35,37,41,43,47, 51, 53-63,66-71,
linear systems 73,77,79
5.2 Read
Solving linear 5.2 #1,5,7,13,15,17,21,23,25,27,29,31,33,37,39,41,45,48,49,53,
systems
57
5.3 #1,5,9,11,15,19,21,23,29,31,37,39,41,43,45,47,49,57,59,61,
63,66, 69, 71,72,74,75,76,77,80,81
5.4 #1,3,7,11,15,17,19,21,24,25,27,29,35,39,41,42
5.4 Supplement questions at:
Problem solving http://spot.pcc.edu/math/download.htm#65
using linear
Chapter 5 Review, Chapter 5 Test
systems
3.1 Applications: #15,17,27,29,33,49 (these should be solved
using systems of equations in two variables)
Remember your text comes with a CD that has the chapter tests worked out.
4
Polynomial
Addition and
Subtraction
5
Polynomial
multiplication
6.1 #1,5,7,9,17,17,21,27,29,33,35,37,43,45,55,57,61,65,69,73,
75,81,85,87,95,97,111,119,122
6.2 #1-33odd,35,37,41,43,47,49,51,55-77odd, 93, 97,99,
101,103, 111, 113, 117,123
6.3 #1-81eoo,85,87,89,93,95,97,99,107,108,109,112,113
3
6
7
4
8
9
5
6
10
11
Part 1
Polynomial
division and
exponent rules
Exponents and
review of
polynomial
operations
Scientific
notation and a
review
6.4 #1,7,9,13,15,17,27,33,37,41,45,51,53,65,75,79,87,91,92,93,
105
6.5 #1-77eoo,79,87,100-104
Chapter 6 Review as many as needed for review)
6.7 #1,5,7,9,11,13,15-125eoo,127,129,131,135,141,
143,147,163, 165,167,169
Chapter 6 Test : Remember your text comes with a CD that has the chapter tests
worked out.
Basic factoring
Factoring
Trinomials
7.1 #1,5,7,11,13-81eoo,87,89,99,101,103,105
7.2 #1-33odd,35,39,43-63odd,67,71,73,77,85,87,89,91,93
7.3 #1-43odd,47,51,59-79odd,83,87,91,99,103,105,107
Special forms and 7.4 #1-13odd,17,19,21,27-55odd, 59,63-85 odd,89,91,93,
factoring summary 101,105,109,111,114,115
7.5 #1-63odd,65-85eoo,97,99,107, 109, 117, 118
After completing all of these practice problems, take the factoring test
located in this packet. Have it handy when you watch lesson 11, part 3.
MTH 65 Telecourse Packet v2.3
Week Lesson Topic/Title
6
12
Part 2
Solving
quadratic
equations by
factoring
13
Solving
quadratic
equations
using square
roots
14
Solving
quadratic
equations
using the
quadratic
formula
15
Applications
of quadratic
equations
7
8
16
17
9
18
10
Graphs of
quadratic
equations in
two variables
Graphs of
quadratic
equations in
two variables
Applications
and an
introduction
to functions
19
Functions
and course
review
20
Practice final
Suggested Exercises
7.6 #1-55odd,57,61,64,67,69,73,75,77,81,83,
85,87,88,89,90,91,95, 97,98,99,103,105
7.6 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
9.1 #1-25 odd
9.1 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
9.2 #1-91 every other odd
9.3 #1-77 every other odd
9.4 #1-51 every other odd
10.1 #1-47 odd
10.1 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
10.3 #1-51 odd
10.3 #53-63 odd, 72,73,74,76,78
10.3 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
10.5 #51,66
10.5 #1-49 odd,58,59,60,62,63,64,65,67,68
10.5 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
10.6 #1-39 odd,45,61,62,63
10.6 Supplement questions at:
http://spot.pcc.edu/math/download.htm#65
P656-660 as many as needed for review. Remember your text comes with a CD
that has the chapter tests worked out.
Complete the practice final located in this packet before
watching Lesson 20.
Review for the final exam
MTH 65 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 to use this 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 65 Telecourse Packet v2.3
MTH 65 Telecourse: Factoring Test, Lesson 11 – Part 3
Complete this before watching Lesson 11 – Part 3. If you are watching tapes that you rented or recorded,
watch Part 1 and Part 2 of Lesson 11. Then do the homework for Lesson 11. Finally, take this factoring test
and then watch Part 3 of Lesson 11 to check your work.
Completely factor the following, if possible.
1.
x 2  16
2.
5 x 2  125
3.
5 x 2  125
4.
x2  5x  6
5.
x 2  7 x  12
6.
x 2  6 x  15
7.
2 x 2  6 x  20
8.
2 x 2  3x  1
9.
2 x 2  3x
10. 3x  5 x  2
2
11. 4 x  8 x  16
2
12. 4 x  x  3
2
13. 4a  49b
2
2
14. 3n  2n  12n  8
3
2
15. m  12m  36
2
16. m  25m  25
2
17. k  8
3
18. 3a  15ab  18b
2
2
MTH 65 Telecourse Packet v2.3
MTH 65 Telecourse: Practice Final Complete this before watching Lesson 20
5 x  2 y  25
.
 x  4 y   17
1.
Use the substitution method to solve the system of equations 
2.
Use the elimination method to solve the system of equations 
3.
Use the graphing method to solve the system of equations 
 4 x  3 y  19
.
10 x  2 y  9
y  3x  3
.
y   2x  7
4. What do you know about the solution set to a linear system of two equations with two unknowns when you
correctly apply the elimination method and the sum of the respective sides of the equations results the
equation 0  0 ?
5. Write an example of a linear system of two equations with two unknowns that has no solutions.
6. Ethan’s wrestling coach has advised Ethan’s father that Ethan should eat roughly 2000 calories a day.
Unfortunately, Ethan will eat nothing but Wienie Beans and Franks Alfredo. Dad has determined that
four servings of Wienie Beans coupled with four servings of Franks Alfredo totals exactly 2000 calories.
Also, nine servings of Wienie Beans coupled with two servings of Franks Alfredo totals exactly 2050
calories.
Write a system of two equations with two unknowns that can be used to determine the number of calories
in one serving of Wienie Beans and the number of calories in one serving of Franks Alfredo. Solve the
system and state an appropriate conclusion.
7. Find the exact value of each expression.
a.
3
2
b.
3
c.
2
 7  5
0
7
 
5
d.
8. Simplify each expression. Make sure that your final expression has no negative exponents.
a.
t t 
4
7
2
b.
 x3 
 7 
x 
5
c.
5 y 3
d.
 4 x 3 w7
 4 12
 x w



2
1
MTH 65 Telecourse Packet v2.3
9. Simplify each square root. Make sure that the denominator is rational in your final expression.
342
a.
10.
2
14
b.
1302000000
7
Write each number in scientific notation.
a.
11.
b.
0.0000047
Perform the calculation and write the result in both scientific notation and decimal notation.
 3.00  10  9.00  10 
7
15
2.00  1014
12. Complete Table 1.
Table 1: Polynomial features
Polynomial
Number of terms
Degree
Coefficient of
first term
2 x 2  3x -1
5  x  x2  x3
5x  2
4x5 y 3  2x 6
8
13. Find the following products.

b.
 3x-1 2 x + 5
 4 x + 3 y  x - y 
d.
 x - 2   x 2 -5 x +1

a. x 2 x 2 y  3 x - y
c.
14.
Subtract 3x  x  2 from x  2 x  4 .
2
2
MTH 65 Telecourse Packet v2.3
x y -5 x y + 3xy
15. Simplify:
.
xy
3
6
2
4
16. Given f  x    x  4 x . Evaluate
2
f  5  .
g  2 .
17. Given g  x   4  3 x  2 x  x . Evaluate
2
3
18. Completely factor the following expressions.
a.
7 x 3  63 x
b. x  12 x  20
d.
6 x 3 +12 x 2 -15x e. 16 x 5 + 250 x 2
c. x  16 x  20
2
f.
4 x 2 +12 x + 9
2
g.
36 x 2 -60 x + 25
19. Solve:
a.
36 x 2 -60 x + 25  0
b. 5 x  40 x  0
d.
x 2  20
e.
2
c. 4 x  5 x  4  10
2
( x  5) 2  36 .
20. Consider the equation x  3 x  5  0 . What is the discriminant? What does the discriminant tell us about
the equation?
2
21. Solve 2 x  4 x  3 .
2
22. The graph of
f ( x)  x 2  4 x  3 is shown in Figure 1. Fill in the blanks using interval notation.
y
The domain is _____________.
The range is _______________.
x
Figure 1: y = f (x)
MTH 65 Telecourse Packet v2.3
23. Consider the equation
y   x 2  9 x  20 . Fill in the blanks.
The parabola opens ________ because__________.
The axis of symmetry is ___________.
The vertex is ____________.
The horizontal intercepts are ______________.
The vertical intercept is ______________.
24. Graph
y  x 2  8 x  16 .
25. Graph
y  x 2  4x  5 .
y
x
26. Ethan throws an orange up in the air. Its distance (in ft) from the ground t seconds after it is thrown is
given by d  16t  32t  3 .
2
a.
What is the maximum height of the orange and when does the orange reach this height?
b. When does the orange hit the ground?
MTH 65 Telecourse Packet v2.3
MTH 65 Worksheet 1 (Blitzer 5ed)
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.
(4 pages-4 questions-please staple)
3 x  y  3
1. Solve the system 
by graphing. Check your solution. Show all of your work and write
5 x  4 y  2
your answer in a sentence.
MTH 65 Telecourse Packet v2.3
 y  2x  3
2. Solve the system 
using the substitution method. Check your solution. Show all of your
 y  4x  7
work and write your answer in a sentence.
MTH 65 Telecourse Packet v2.3
 5 x  7 y  46
3. Solve the system 
using the addition method. Check your solution. Show all of your
3x  4 y  3
work and write your answer in a sentence.
MTH 65 Telecourse Packet v2.3
 4x  6 y  2
4. Solve the system 
using the addition method. Check your solution. Show all of your
12 x  18 y  10
work and write your answer in a sentence.
MTH 65 Telecourse Packet v2.3
MTH 65 Worksheet 2 (Blitzer 5ed)
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.
(4 pages-6 questions-please staple)
1. Subtract 8 x5  5 x 4  20 from 4 x 5  16 x3  17 . Remember to show your work and line up your equal
signs.
2. Is 8 x5  5 x 4  20 a monomial, binomial or trinomial? What is the degree of 8 x5  5 x 4  20 ?
MTH 65 Telecourse Packet v2.3
3. Multiply  x  3 2 x  5 and simplify.
4. Simplify
3a15
 2a 2   a 7
3
.
MTH 65 Telecourse Packet v2.3
5. Set up a system of TWO equations with TWO variables to solve this problem. Remember to
define your variables (include units), show all of your work and answer in a sentence.
The three angles in a triangle always add up to 180 . If one angle in a triangle is 132 and the second
is 5 times the third, what is the measure of each angle of the triangle?
MTH 65 Telecourse Packet v2.3
6.
a. (6)2
Evaluate each expression. . (Make sure you can do these with and without a calculator.)
b.  62
c.
 (62 )
d.  40
e. (4)0
f. 5  22
MTH 65 Telecourse Packet v2.3
MTH 65 Worksheet 3 (Blitzer 5ed)
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.
(4 pages-7 questions-please staple)
1. Simplify
5m1
 3m 
2
n 2
. Show all work and remember to line up your equal signs.
MTH 65 Telecourse Packet v2.3
2. Multiply  w  5  and simplify.
2
3. Solve (b  2)(b  3)  0 .
MTH 65 Telecourse Packet v2.3
4. Factor x  y  14  6  y  14  .
5. Solve and check x(5 x  8)  4 .
MTH 65 Telecourse Packet v2.3
6. Factor 5 x 2  45 x  100 as completely as possible.
7. Solve and check. k 2  49  0 .
MTH 65 Telecourse Packet v2.3
MTH 65 Worksheet 4 (Blitzer 5ed)
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.
(3 pages-3 questions-please staple)
1. Graph y   x  x  20 . Make sure you find the vertex and all intercepts. Show all work.
2
MTH 65 Telecourse Packet v2.3
2. Solve 3 x 2  12 x  1 using the quadratic formula. Simplify irrational solutions, if possible.
MTH 65 Telecourse Packet v2.3
3. A machine produces open boxes using square sheets of plastic. The machine cuts equal-sized squares
measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open
box by turning up the sides. If each box must have a volume of 242 cubic inches, find the length of one
of the bottom edges of the open box. Remember to define your variable (include units), show all work
and answer in a sentence.
MTH 65 Telecourse Packet v2.3
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MTH 65 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: 2, 3, 4, 6 or 7 (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 65 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 some of the main concepts explained in the video.
MTH 65 Telecourse Packet v2.3
Telecourse Video Summary
Linda Bastian, Instructor




Final
Name___________________________
Due when you take your Final exam
Choose one of the following telecourse videos from LESSON: 11,13, 15 or 18 (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 65 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 some of the main concepts explained in the video.