( N O S P A M P L E A S E ! ! ! ) 
Math 60
ELEMENTARY ALGEBRA
(Spring 2014)
► Shortcut to: lecture ◄  ► Shortcut to: homework ◄ 
► Shortcut to: quizzes and study guides ◄  ► Shortcut to reference material ◄ 
Tips for printing PDF documents: [Read me before printing PDF documents]


♥ 
When printing PDF documents, make sure that the size is set to 100%. (Remove any page scaling) 
♥ 
(By default, your computer may print the document at only 94.51% of the original size)


Homework Calendar for MW: 8 am  9:50 am class, 2014Sp for MW : 12 pm  1:50 pm class, 2013Sp

Warning: If you have trouble viewing the above files, then you will have to install a "PDF Reader".
I have provided two links below for your convenience.
Need a PDF Reader? 

Foxit PDF Reader ← (My favorite!  Smaller file size) 

Adobe PDF Reader 
Lecture Notes & Xtra Practice Answer Keys
(and Day 1 Stuff)
Warning: With the exception of Chapter 1, lecture notes are generally NOT UPLOADED.
 Chapter 1 Lecture Notes, Part I
 Chapter 1 Lecture Notes, Part II
 Chapter 3 Lecture Notes, Part I
 Chapter 3 Lecture Notes, Part II
 Chapter 3 Lecture Notes, Part III
Study Guides & TakeHome Quizzes
Warning:
Takehome
quizzes are granted on to students who came to class on the day assigned . . .
so you better
think twice about not coming to class.
 Quiz 5 ← posted on Monday, March 24th
print quiz singlesided, and staple the sheets on the upper lefthand corner
 Extra Practice for your last exam ← Good luck to all!
Technical difficulty alert! Technical difficulty alert!
The answer to #59 (Part 1) is incorrect.
The correct answer should read x = 2
The guides below may also be helpful:
 Extra Practice for Chapter 7
 Extra Practice for Chapter 8
 Extra Practice for Chapter 9
Homework
 Chapter 1 Homework Exercises
Psst Psst: Did you know that having your multiplication facts mastered will make this course much easier? Lucky for you, if you want to get your multiplication practice on, all you need to do is scroll down to the Chapter 0 Resources and practice away! Have a great semester!!! 
 Chapter 3 Homework Exercises ¬ all of chapter 3 is currently posted
Answers to select evennumbered problems from the textbook:
Section 3.5, #28: $2500 at 7.4%; $7500 at 12%
Ch 4: Linear Equations in Two Variables 

§ 4.1: 
13 – 19 odd, 27 – 33 odd, 37, 43 – 55 odd, 57 – 65 eoo, 67, 69 – 76 ALL.
Special Note for
#’s 43 – 55 odd: The
directions for these problems read
š Feel free to plot all of these points on the same graph area. Or, if you’d like, you can individually plot each point separately in its own graph area. J 
§ 4.2: 
1 – 17 eoo, 19, 21 – 29 eoo 
FREE GRAPH PAPER in the RESOURCES section of the Math 60 page
§ 4.3: 
4, 5, 7 – 13 odd, 17 – 25 odd, 41 – 55 odd 
§ 4.4: 
3 – 13 odd, 17 – 25 odd, 45 – 69 odd 
§ 5.5: 
7 – 15 odd, 17 – 25 odd, 29 – 37 odd
Special note for #’s 7 – 15 odd: The directions
for these problems read “Graph using the test point method”.
š
Ms.
T’s revised directions:
for #’s 7  15 odd: “Graph the solution set.
Feel free to graph the solution set using the method of your
choice.”
J
Special note for #’s 17 – 25
odd: The directions
for these problems read “Use the slopeintercept form to graph each
inequality.
š
Ms.
T’s revised directions:
for #’s 17  25 odd: “Graph the solution set.
Feel free to graph the solution set using the method of your
choice.”
J 
§ 4.5: 
1 – 7 odd, 11 – 17 odd, 21 – 45 odd, 53 – 67 odd
Special note
for #’s 11  17 odd.
The directions for
these problems read: “Find an equation of the line with the given slope
and yintercept.
Express your answer in the
š
Revised directions
for #’s 11 – 17 odd: “Find an equation of the line containing the
given slope with the given slope.
Write your equation in slopeintercept form”
e.g.
So, say for #13 on your homework, you can just write:
13.
(0, 6), m = –4
¬
(omit writing the words “standard form”)
Special note for #’s 21  31
odd.
The directions for these problems read: “Find an equation of
the line containing the given point with the given slope.
Express your
š
Revised directions
for #’s 21 – 31 odd: “Find an equation of the line containing the
given slope with the given slope.
Write your equation in slopeintercept form”
e.g.
So, say for #21 on your homework, I would like to see:
21.
(5, 7), m = 1
¬ (omit writing the words
“slopeintercept form”)
Special note
for #’s 35  43 odd.
The
directions for these problems read: “Find an equation of
the line containing the two given points.
Express your answer in the
š
Revised directions
for #’s 35 – 43 odd: “Find an equation of the line containing the
given points. Write your
equation in slopeintercept form”
e.g.
So, say for #35 on your homework, I would like to see:
35.
(–1, 7) and (3, –5)
¬
(omit writing the words “slopeintercept form”)

Special Message for Section §4.5:
Don’t forget to write the
revised directions when doing your hw. 
Chapter 4 Bonus Problems – woohoo! 

§ 4.1: 
From your textbook, reread Example 7, then do #’s: 77 (do a, b, c, and d only), 81 (do a, c, d, and f only) 
§ 4.2: 
From your textbook, reread Example 5, then do #’s: 35 (do a, b, and d only) 
§ 4.3: 
From your textbook, reread Example 3, then do #’s: 39 
§ 4.4: 
29 
§ 4.5: 
From your textbook, reread Example 7, then do #’s: 99, 101, 103, 104 
Ch 5: Solving Systems of Linear Equations 

§ 5.1: 
1 – 7 odd, 11 – 31 odd, 39, 41 Revised
directions for #’s 11 – 31 odd:
Solve each system of equations by graphing. (You don’t have to tell me if the system is inconsistent or has dependent equations) Remember: Inconsistent is the name given to a system that has no solution. Dependent is the name given to a system that has an infinite number of solutions. 
§ 5.2: 
1, 5 – 27 odd, 33, 35, 43, 47 ¬ must solve by substitution 
§ 5.3: 
3 – 27 odd, 33, 37, 43 – 49 odd
¬ must solve by
elimination 
§ 5.4: 
1, 5, 11, 13, 19 – 25 odd, 35 – 43 odd 
Ch 2: Exponents 

§ 2.1a: 
9, 11, 13, 29 – 39 odd, 55 – 73 odd, 79 – 83 odd, 87 – 93 odd ¬ optional section 
§ 2.1b: 
3 – 39 odd ¬ optional section 
§ 2.2a: 
5 – 31 odd ¬ optional section 
§ 2.2b: 
3 – 45 odd ¬ optional section 
§ 2.3: 
3 – 43 odd ¬ optional section 
Please note: If you do Sections 2.1 – 2.3 before doing your §6.1 homework, then you’ll thank yourself for it later. J 
Did you know that there is an answer key at the back of the book??? Are you checking your answers as soon as you are done with each problem? I hope you are.
Why???
Because studies show that the more times you do the same WRONG thing, the more likely you will do the same WRONG thing on the quiz or exam = ( 
Ch 6: Exponents, Polynomials, and Scientific Notation 

§ 6.1: 
9, 11, 13, 17, 19 – 61 odd 
§ 2.4: 
1 – 7 odd, 19 – 29 odd, 35 – 47 odd, 53, 55 ¬ scientific notation 
§ 6.2: 
1 – 11 odd, 31 – 45 odd, 49, 53 – 69 odd, 75, 77, 79, 85, 87, 89 
§ 6.3: 
3 – 27 eoo, 35 – 51 eoo, 63 – 69 odd, 73 – 77 odd, 83, 87 – 97 odd 
§ 6.4: 
5 – 25 eoo, 39 – 59 eoo, 61 
Psst psst …
Midterm
Exam 3 is coming up soon (Chapters 6 and 7),
so
please continue doing your homework in a timely manner.
Ch
7:
Factoring
Polynomials 

§ 7.1: 
1 – 13 eoo,
23 – 39 eoo, 41 – 67 odd, 73 – 81 odd, 83 – 95 eoo 
§ 7.2: 
1, 15 – 71 odd, 75 – 101 odd
Please
note:
If you’re asked to factor a polynomial and you
realize that the polynomial is not factorable, then you can just write
“not factorable” or “prime”.
Why
“prime”? Think about it … If you were asked to write 24 as a product of prime
factors, then you would write:
24 = 2 • 2 • 2 • 3 or just 2^{3} • 3 However, suppose you were asked to write 5 as a
product of prime factors.
Since 5 is already a prime number,
then you would just write “prime” because 5 is a prime number. 
§ 7.3: 
1, 19 – 29 odd,
33 – 51 odd, 55 – 73 odd, 81 – 89 odd
Special note for #’s 19 – 29 odd: The directions
for these problems read “Factor by grouping”.
š
Ms.
T’s revised directions
for #’s 19

29 odd:
Special note for #’s 33 – 51 odd: The directions
for these problems read “Factor by trial and error”.
š
Ms.
T’s revised directions
for #’s 13 – 51 odd:

§ 7.4: 
1, 3, 9 – 31 odd, 41 – 77 odd 
§ 7.5: 
7 – 39 eoo, 41, 43 – 51 eoo, 63, 67, 71, 75 
§ 7.6: 
1, 9, 11, 17 – 21 odd 
P.S. Good luck to you on your third midterm exam
and make sure to keep your cool
because you got this! 
Ch 8: Rational Expressions 

§ 8.1: 
3, 7, 27 – 43 odd, 49, 55 – 63 odd, 65, 69, 73, 75 
§ 8.2: 
1 – 17 eoo, 19, 21 – 37 eoo, 39, 41, 51 – 59 eoo,
61, 63 – 83 eoo 
§ 8.3: 
1 – 49 eoo 
§ 8.4: 
1 – 15 odd, 19 – 43 eoo, 47 – 59 eoo, 65, 67, 69 
§ 8.6: 
1 – 17 odd, 21 – 33 odd, 37 – 49 eoo, 51, 53 – 69
eoo, 71, 73
Special note for
#’s 11 – 15 odd:
The directions for these problems
read …
“Values that make the
denominators equal to zero cannot be solutions of an equation.
Find all of the values
that make the denominators zero and which, therefore, cannot be
solutions of each equation.
Do NOT solve the equation.”
In
other words:
Want more information on how to
find the restrictions on the variable???
š
Then please refer to
Objective 2 from Section 8.1 of your textbook.
J 
§ 8.7: 
7, 9, 13 – 25 odd 
Ch
9:
Roots and
Radicals 

§ 9.1: 
15 – 27 odd, 59 – 65 odd 

Online squareroot flash
cards:
http://www.aplusmath.com/Flashcards/sqrt.html 
§ 9.2: 
1, 5, 9 – 29
eoo, 31, 33 – 41 eoo, 43, 45 – 69 eoo, 71, 75 – 87 eoo
Psst psst,
although I wrote “eoo” for some of the sets of problems,
you are more than welcomed to do all the odd problems in between.
J

§ 9.3: 
3, 11, 15 – 23 eoo, 25 – 31 odd, 39 – 59 eoo, 61 –
67 odd
Psst psst,
although I wrote “eoo” for some of the sets of problems,
you are more than welcomed to do all the odd problems in between.
J 
§ 9.4: 
1 – 17 eoo, 23 – 37 eoo, 41 – 49 odd, 53, 57 – 67
odd, 69 – 81 eoo, 83
Psst psst,
although I wrote “eoo” for some of the sets of problems,
you are more than welcomed to do all the odd problems in between.
J 
§ 9.5: 
1 – 57 eoo, 97 – 129 odd, 131, 135 – 141 odd

§ 9.6: 
5 – 21 eoo, 23, 25 – 41 eoo
Psst psst,
although I wrote “eoo” for some of the sets of problems,
you are more than welcomed to do all the odd problems in between.
J 
Ch
10:
Quadratic
Equations 

§ 10.1: 
3, 5 – 25 eoo, 27 – 37 odd, 39 – 67 eoo, 69
Psst psst,
although I wrote “eoo” for some of the sets of problems,
you are more than welcomed to do all the odd problems in between.
J 
§ 10.3: 
1 – 17 eoo, 19 – 29 odd, 33 – 41 odd 
Reference Material
(Feel free to check out as many as you want)
** Note: If you would like to share a great site for our class, please notify instructor. **
Note: For powerpoint presentations . . . If you do not have the PowerPoint program, a viewer can be downloaded enabling you to view the presentation.
2003 PowerPoint (PPT) viewer link
If you are still not able to see the PowerPoint presentation after you've downloaded the link above, please download the link below and try again

Chapters 1  10 
♥ 
GUHSD Algebra 1 Video Tutorials  an excellent resource for a Math 60 course. Strongly recommend ALL students to look at this website. 
♥ 
Khan Academy  "Learn almost everything for free"  it has an extensively video library. 
♥ 
.com  Ms. T's favorite site for a Math 60 course. Strongly recommend ALL students to look at this website. 
Chapter 0: Whole Numbers 
♥ 
Looking for an online version of multiplication flash cards? 

A+ Math  go ahead and practice away your multiplication facts ^_^ 
Tip: Practice your multiplication facts in order using the worksheet below. Then, use the online multiplication flash cards linked above when you're ready to practice the problems out of order.
 Xtra Practice: 1  12 Multiplication Facts  Xtra Practice: 1  12 Multiplication Facts (Answer Key)
 Multiplication Table ← a regular multiplication table (posted for your convenience)

♥ 
What??? You want extra practice with online flash cards? 


♥ 
Xtra Practice: GCF vs LCM (KEY & Handout)  Finding GCF and LCM for sets of numbers. You are expected to know how to do this  this will make Chapters 3 and 7 much easier. 
Chapter 4: Graphing 
More of Chapter 4: FREE Graph Paper!!! 

♥ 
Need Graph Paper? Don't waste your $$$S.
♥ Ms. T's graph paper (Like the ones used in class)
♥ Regular graph paper (whole sheet)
Want to create your own custom made paper? Then go to www.incompetech.com/graphpaper

Chapter 7: Factoring Polynomials 
♥ 
Factoring by grouping  YouTube video by J. Harland. In this video you will be factoring 4term polynomials by grouping. (Thanks anonymous student!!!) Book Reference: Section 7.1 
♥ 
Factoring by grouping  YouTube video by R. Brown. (Thanks C.W.!!!) In this video you will be factoring 4term polynomials by grouping. Book Reference: Section 7.1 
♥ 
Factoring Trinomials, P1

YouTube video.
(Thanks C.W.!!!)
e.g. Factor x^{2} + 4x + 3. Book Reference: Section 7.2 
♥ 
Factoring Trinomials, P2

YouTube video.
(Thanks C.W.!!!)
e.g. Factor 3x^{2} + 5x + 2. Book Reference: Section 7.3 
♥ 
Xtra Practice: Factoring Polynomials (KEY & Handout)  Factoring binomials, trinomials, and 4term polynomials. Strongly recommend you work on this handout. Book Reference: Sections 7.1  7.4 
♥ 
Factoring Handouts  I strongly recommend you look at these handouts ** Extra practice exercises for Chapter 7 ! Warning! There are a couple of mistakes with the key. I'm working on it. This message will be removed when the key has been updated! However, if you find them first, then please email or tell me ASAP!
** Cool handout for recognizing perfect square trinomials. Book Ref: Sec 7.4 
Chapter 9: Roots and Radicals 
♥ 
Solving
Radical Equations

YouTube video.
(Thanks C.W.!!!)

( N O S P A M P L E A S E ! ! ! ) 