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Math 60

ELEMENTARY ALGEBRA


(Spring 2014)

 

 

 

Shortcut to: lecture Shortcut to: homework

 

Shortcut to: quizzes and study guides Shortcut to reference material

 

 

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Syllabus

 

Classroom Directory

 

 

 Homework Calendar 

for MW: 8 am - 9:50 am class, 2014Sp

for MW : 12 pm - 1:50 pm class, 2013Sp 

 

 

 

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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

 

 

 

 

 

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Study Guides & Take-Home Quizzes


 

  Warning: 

Take-home 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 single-sided, and staple the sheets on the upper left-hand corner

 

 

- Extra Practice for Exam 2 ← Study guide for Chapter 4

 

- Extra Practice for Exam 2 ← Study guide for Chapter 5

 

 

 

 

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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 even-numbered problems from the textbook:

 

 

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 
“Graph each ordered pair”.

 

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 slope-intercept 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 y-intercept.  Express your answer in the
  indicated form.”

 

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 slope-intercept 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
  answer in the indicated form”

 

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 slope-intercept form”

e.g.  So, say for #21 on your homework, I would like to see:

        21.    (5, 7), m = 1    ¬ (omit writing the words “slope-intercept 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
  indicated form”

 

š  Revised directions for #’s 35 – 43 odd: “Find an equation of the line containing the given points.  Write your equation in slope-intercept 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 “slope-intercept 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, re-read 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, re-read Example 5, then do #’s:  35 (do a, b, and d only)

§ 4.3:

From your textbook, re-read Example 3, then do #’s:  39

§ 4.4:

29

§ 4.5:

From your textbook, re-read 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 psstMidterm 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 23 • 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:
Factor completely.  Feel free to factor using the technique/method of YOUR choice.
J


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:
Factor completely.  Feel free to factor using the technique/method of YOUR choice.
J

§ 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

 

 

Math is FUN!

 

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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. **


 

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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?

   

A+ Math 

  • Addition, Subtraction Multiplication and Division with whole numbers and integers.

  • Rounding

  • Square Roots

  • Order of Operations

 

 

    

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 YouTube icon/logo

In this video you will be factoring 4-term polynomials by grouping.

(Thanks anonymous student!!!)  Book Reference:  Section 7.1

 

 

    

Factoring by grouping  || YouTube video by R. Brown (Thanks C.W.!!!) YouTube icon/logo

In this video you will be factoring 4-term polynomials by grouping.

Book Reference:  Section 7.1

 

 

    

Factoring Trinomials, P1 || YouTube video (Thanks C.W.!!!)  YouTube icon/logo
In this video you will be using factoring trinomials whose leading coefficient is 1. 

e.g.  Factor x2 + 4x + 3 Book Reference:  Section 7.2

 

 

    

Factoring Trinomials, P2 || YouTube video (Thanks C.W.!!!)  YouTube icon/logo
In this video you will be using the
ac-method to factor trinomials whose leading coefficient is not 1.   

e.g.  Factor 3x2 + 5x + 2.  Book Reference:  Section 7.3

 

    

Xtra Practice: Factoring Polynomials (KEY & Handout) || Factoring binomials, trinomials, and 4-term 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 e-mail 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.!!!)  YouTube icon/logo
Book Reference:  Section 9.6

 

 

 

 


 

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