MTH05: Elementary Algebra

B10 (45484)
Tuesdays, Thursdays: 9:00 am - 11:50 am at CP 309

Here is an approximate syllabus:

Date Materials HW assignment
Week 1
Welcome to the first day of class!!!

1.1 Review of Fractions

Online resources:
1) Adding and subtracting fractions with unlike denominators, adding and subtracting mixed numbers: start with this video and go over other videos and guided practice (marked with the star) - you will see the menu on the left.
2) Multiplying fractions (video example)
3) Multiplying fractions (guided practice)
4) Multiplying fractions and whole numbers (video example)
5) Multiplying fractions and mixed numbers (video example)
6) Multiplying fractions and mixed numbers (guided practice)
7) Dividing fractions by fractions 1 (video example)
8) Dividing fractions by fractions 2 (video example)
9) Dividing fractions by fractions (guided exercise)
10) Simplifying fractions (guided practice)
11) LCD (bunch of videos, starting with this one)
12) Comparing fractions (start with this one and proceed further)
13) Adding and subtracting mixed number with unlike denominators: start with this video, then proceed further
14) Multiplying mixed numbers (video example)
15) Multiplying mixed numbers (guided practice)
HW 01-Review of Fractions
(due date: Sunday, February 3rd, 11:50 pm)
at WeBWorK

Here is the cheat sheet for the correct syntax for entering answers in WeBWorK: WeBWorK Cheatsheet for Students Ver2.pdf
Week 2
02/05 topic: 1.2 Addition and Subtraction of Real Numbers (covering subtraction)
1.3 Multiplying and Dividing Real Numbers

Online resources:
1) Intro to negative numbers (video, 9:35 mins)
2) Intro to negative numbers (guided practice)
3) Adding/subtracting negative numbers (video, 9:15 mins)
4) Adding negative numbers example (video example)
5) Adding numbers with different signs (video example)
6) Adding negative numbers (guided practice)
7) Subtracting a negative = adding a positive (video, 1:32 mins)
8) Subtracting negative numbers (guided practice)
HW 02-Real Numbers-Introduction,
HW 03-Real Numbers-Adding and Subtracting
(due date: Sunday, February 10th, 11:50pm)
at WeBWorK

HW 04-Real Numbers-Multiplying and Dividing
(due date: Tuesday, February 12th, 11:50pm)
at WeBWorK
02/07 topics:
1.4.1-1.4.2 (ignore radicals for now) Exponents and Radicals,
2.1 Order of operations,
3.2.1 Transition to Algebra,

Online resources:
1) Multiplying positive & negative numbers (video, 5:43 mins)
2) Multiplying numbers with different signs (video example)
3) Dividing positive and negative numbers (video, 4:51)
4) Multiplying and dividing negative numbers (rules, video, 8:29 mins)
5) Multiplying & dividing negative numbers (guided practice)
6) Intro to order of operations (video, 9:39 mins)
7) Order of operations (video example)
8) Order of operations 2 (video example)
9) Order of operations (guided practice)
10) Writing basic expressions with variables (video example)
11) Writing basic expressions with variables (summary, not a video)
12) Writing basic expressions with variables (guided practice)
13) Writing expressions with variables (another bunch of video examples)
14) Writing expressions with variables (guided practice)
15) Writing expressions with variables & parentheses (video example)
HW 05-Exponents and Order of Operations
HW 06-Transition to Algebra,
(due date: Thursday, February 14th, 11:50pm)
Week 3

College is closed on Tuesday, February 12th Lincoln's Birthday
College is closed on Monday, February 18th President's Day
topics: Sections
2.2 Evaluating algebraic expressions
Adding and subtracting algebraic expressions

HW 07-Evaluating Algebraic Expressions,
HW 08-Adding and Subtracting Algebraic Expressions
(due date: Tuesday, February 19th, 11:50pm)
Week 4

College is closed on Tuesday, February 12th Lincoln's Birthday
College is closed on Monday, February 18th President's Day
topic: Sections
3.1 Solving Linear Equations
3.3 Literal Equations,

Online resource:
0) There is a bunch of videos and practices for this here: Algebra I: one variable linear equations.
1) one video example, then you can see Practice option in the left menu.
2) manipulating formulas (and more in the left menu)
HW09-Solving Linear Equations
(due date: Sunday, February 24th, 11:50 pm)
3.4 Linear Inequalities in One Variable

Online resources:
One-variable linear inequalities (a bunch of video examples and practice)

All the material we covered so far will be on Test 1

More information about Test 1 can be found in Tests and Final Exam

Review. Preparation to Test 1.
HW 10-Formulas,
HW 13-Solving Linear Inequalities

(due date: Tuesday, February 26th, 11:50pm)
Week 5
02/26 Test 1
topics: Sections
4.1 Linear equations in two variables
4.2 The cartesian coordinate system
4.3 Graphing linear equations

lecture slides: 4_3GraphingLinearEquations.pdf

Online resources:
1) Two-variable linear equations intro (see also a bunch of other video examples and practice in the left menu)
2) Cartesian coordinate system
3) graphing video example 1 (pick a value for one variable, find another one)
4) graphing video example 2 (intercepts method)
5) graphing video example 3 (slope-intercept method)
HW 14-Two Variable Equations
HW 15-The Cartisian Coordinate System,
HW 16-Lines-Graphing (due date: Thursday, March 7th, 11:50pm)
Week 6
03/05 topics: Section
4.4 The slope of a line

Lecture slides: MTH05_4_4Slope-4_5ThePointSlopeForm.pdf

Online resources:
HW 17-Lines - Slope
(due date: Tuesday, March 12th, 11:59 pm) - due date extended to Sunday, March 17th
topics: Section
4.5 Equations of line

HW 18-Lines-Equations,

(due date: Thursday, March 14th, 11:50pm) - due date extended to Sunday, March 17th
Week 7
03/12 topics: Sections
4.6 Graphing linear inequalities in two variables
4.7 Systems of linear equations (solving by graphing, by elimination and substitution methods)

Here are some videos for refreshing your memory/review:
Introduction to graphing linear inequalities in two variables (<=):
Example 2 (<):
Example 3 (<):

Here are some nice videos and interactive practice that cover today's material:
Solving systems of linear equations by graphing:
lecture (9 mins):

Here are some nice videos and interactive practice that cover today's material:
Solving systems of linear equations by elimination and substitution methods:
lectures: (10 mins) , mins) (12 mins)

The Midterm Grade will be comprised of:
Homeworks (1-18): 50%
Tests 1 score: 50%

HW 19-Linear Inequalities in Two Variables
HW 20-Graphing Systems of Linear Equations
HW 21-Solving Systems of Linear Equations

(due date: Tuesday, March 19th, 11:50pm)
topics: Section
4.7 Systems of linear equations (solving by graphing, by elimination and substitution methods) - special cases, substitution method
Word problems

preparing for Test 2

Temporary link to WeBWork:

Week 8
Practicing for Test 2

Test 2

Week 9
03/26 topic: Section 5.1 Integer Exponents

Online resources:
1) 5^3 (video),
2) 6*6*6*6*6*6*6*6 = 6^8 (video),
3) practice: intro to exponents,
4) (-2)^3 and raising numbers to powers 1 and 0
HW 22-Positive Integer Exponents,
HW 23-Negative Integer Exponents

(due date: Tuesday, April 2nd, 11:50pm)
03/28 topics: Sections
5.2 An introduction to polynomials
5.3 Adding and Subtracting Polynomials,
5.4 Multiplying Polynomials
5.5 Division of polynomials by monomials
HW 25-Polynomial-Introduction,
HW 26-Polynomials-Adding Subtracting Multiplying Dividing

(due date: Friday, April 5th, 11:50pm)

Week 10
04/02 topics: Sections
5.6.1 The Greatest Common Factor
5.6.2 The Grouping Method
5.6.3 Special Products
5.6.4 - 5.6.5 Factoring Trinomials
5.6.6 Summary
HW 27-Factoring-Introduction
HW 28-Factoring-Special Products
HW 29-Factoring-Trinomials
(due date: Tuesday, April 9th, 11:50pm)
04/04 topics:
Section 5.7 Solving Quadratic Equations by Factoring
Section 5.8 Solving Word Problems Using Quadratic Equations
HW 30-Factoring-Solving Quadratic Equations
(due date: Friday, April 12th, 11:50pm)
Week 11
04/09 Review/Preparation for Test 3  
04/11 Test 3  
Week 12
04/16 topics: Section 6.1 Roots and Radicals
including Pythagorean Theorem and Distance Formula
Here are the links to the Khan Academy, covering radicals:



You will see on the left a list/menu of video lectures and practices (with hints and solutions).
This covers Sections 6.1 and 6.2.
In the second link, from the list/menu on the left, ignore "Worked example: rationalizing the denominator" and "Simplifying radical expressions (addition)" videos- they are with variables.
HW 31-Radicals - Introduction,
HW 32-Radicals - Simplifying

(due date: Tuesday, April 23rd, 11:50pm)
04/18 topics:
Section 6.2 Operations on Radicals
HW 33-Radicals-Operations
(due date: Tuesday, April 30th, 11:50pm)

Week 13
Spring Recess

04/19 - 04/28


Week 14
04/30 topics:
Section 6.3 Complex Numbers

Here are links to the videos and practices (with hints and solutions) from Khan Academy:

Suggested for practice:
HW 34-Complex-Numbers
05/02 topic:
7.1 Solving Quadratic Equations (completing the square and quadratic formula)
7.2 Introduction to Parabolas
Review/Preparing for Test 4

slides: MTH05_7_2IntroductionToParabolas.pdf
Suggested for practice
HW 35-Solving-Quadratic Equations by Completing the Square,
HW 36-The Quadratic Formula HW 37-Introduction to Parabolas
Week 15
05/07 Test 4
05/09 Final Exam Practice

Week 16
05/14 Final Exam Practice