Mastering Algebra
4.5 (3 ratings)
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Mastering Algebra

Learn through carefully explained and annotated examples
4.5 (3 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
47 students enrolled
Last updated 3/2017
English
Curiosity Sale
Current price: $10 Original price: $20 Discount: 50% off
30-Day Money-Back Guarantee
Includes:
  • 19.5 hours on-demand video
  • 1 Article
  • 106 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • describe positive and negative numbers
  • use signed numbers to represent various situations
  • compare numbers and draw them on a number line
  • Understand and use exponents
  • Translate common English expressions into mathematical form
  • Estimate the results of mathematical operations to check for reasonableness
  • Form percents, decimals and find percentages
  • Understand how to find percents of increase and decrease
  • Understand why variables are needed, and how to introduce and define them
  • Understand how to simplify mathematical expressions
  • Understand how to create and simplify variable expressions
  • Learn how to use variable expressions in geometry
  • Learn how to solve equations of the form ax=b
  • Learn how to apply and solve word problems with equations of the form ax=b
  • Learn how to solve and apply equations of the form a+x=b
  • Learn how to solve and apply equations of the form ax+b=c
  • Learn how to solve and apply proportions
  • Learn how to solving equations with variables on both sides
  • Learn how to apply equations with variables on both sides
  • Learn how to apply equations to triangles
  • Learn how to add/subtract fractions and find least common multiples of small numbers
  • Learn how to find least common multiples of larger numbers
  • Learn how to solve equations with fractions
  • Learn how to solve literal equations
  • Learn how to solve absolute value equations
  • Learn about equations without solutions and with infinitely many solutions
  • Learn how to solve simple interest and mixture problems
  • Learn how to find parallel and perpendicular lines
  • Learn how to graph lines using x/y intercepts and slope/y intercept
  • Learn how to solve systems of equations using graphing, elimination and substitution
  • Learn how apply systems of equations to mixture problems
  • Learn how to apply systems of equations to wind/current motion problems
  • Learn how to solve a variety of coin problems
  • Learn how to solve linear inequalities
  • Learn how to expression solutions to inequalities using interval notation
  • Learn how to solve and/or/absolute value inequalities
  • Learn how to apply inequalities to a variety of situations
  • Learn how to solve common work rate problems
  • Learn how to use variable substitution to make solving equations easier
  • Learn how to graph inequalities in two variables
  • Learn how to factor expressions using the greatest common factor
  • Learn how to factor expressions using grouping
  • Factor trinomials with leading coefficient 1, leading coefficient different from 1
  • Factor expressions using the difference of squares pattern
  • Learn how to factor higher degree expressions
  • Multiply binomials with FOIL
  • Solve quadratic equations with only two terms on the left side
  • Simplify square roots
  • Solve a variety of equations with square roots
  • Solve quadratic equations with completing the square
  • Solve quadratic equations with the quadratic formula
View Curriculum
Requirements
  • This is a course for beginners, so no previous knowledge is required.
Description

Algebra is fundamental to the study of mathematics. This course offers a comprehensive introduction to the topics of Algebra I. Please be sure to read through the course goals and the course curriculum in order to decide whether this is the right course for you. Here are the benefits of enrolling in this course:

1. Get 19 hours of HD content

2. Get PDF's of the content

3. Get clearly explained and annotated examples illustrating a wide variety of topics

4. Get 310  exercises with detailed, step by step solutions

5. Some of the exercises are routine, and some are very challenging

Thanks for reading, and if you're ready to begin learning algebra, I will see you inside!

Parts of promo licensed from presentermedia

Who is the target audience?
  • People who want to learn algebra or refresh their algebra skills
Students Who Viewed This Course Also Viewed
Curriculum For This Course
105 Lectures
19:20:40
+
Get the needed software
1 Lecture 03:04

Objectives: Get SMath Studio

Preview 03:04
+
Operating on numbers only
12 Lectures 01:40:10

Learn about the integers and how to represent them graphically

Positive, negative integers, and place values
07:09

Learn how different situations in the real world can be represented with positive and negative values. 

Representing various quantities with signed numbers
05:46

Learn how to compare numbers using verbal and graphical descriptions. 

Comparing numbers
05:10

Review of the basic operations on signed numbers

Preview 11:00

Learn how to apply signed numbers.

Applications of signed numbers
12:54

Learn how to write and interpret exponential expressions

Understanding exponents
08:22

Learn how to simplify numerical expressions using PEMDAS

Simplifying numerical expressions
07:57

Learn how to translate English phrases into numerical expressions

Translating English into numerical expressions
11:05

Learn how to approximate the results of various mathematical opeartions

Estimating products, sums and quotients
07:10

Learn about percents, part 1


Percents, part 1
09:35

Learn about percents, part 2


Percents, part 2
06:05

Learn how to calculate percents of increase and percents of decrease. 

Percent change
07:57
+
Variable expressions
7 Lectures 01:04:47

Learn why variables are needed and how to introduce and define them

What is a variable and why are they needed
06:01

Learn how to simplify variable expressions, part 1

Simplifying expressions, part 1
08:22

Finish up lesson on simplifying variable expressions

Simplifying expressions, part 2
09:55

Learn how to write and evaluate variable expressions, part 1


Creating and evaluating variable expressions, part 1
08:44

Learn how to write and evaluate variable expressions, part 2

Creating and evaluating variable expressions, part 2
09:20

Learn how to combine various types of exponential variable expressions

Variable expressions with exponents
10:31

Learn how to use a variety of exponential expressions dealing with geometry

Variables expressions with geometric shapes
11:54
+
Solving linear equations
12 Lectures 02:17:46

Learn how to solve equations of the form ax=b

Solving equations of the ax=b form, part 1
09:27

Learn how to solve equations of the form ax=b, part 2

Solving equations of the ax=b form, part 2
06:44

Learn how to apply equations of the form ax=b

Applications of equations of the form ax=b
15:31

Learn how to solve and apply equations of the form a+x=b

Solving and applying equations of the form a+x=b
12:50

Learn how to solve equations of the form ax+b=c

Solving equations of the form ax+b=c
11:32

Learn how to apply equations of the form ax+b=c

Applying equations of the form ax+b=c
11:07

Learn how to solve a variety of problems about rectangles.

Applying equations to rectangles
11:40

Learn how to solve and apply proportions

Solving and applying proportions
12:19

Learn how to solve equations of the form ax+b=cx+d

Solving equations with variables on both sides
09:47

Learn how to apply equations of the form ax+b=cx+d

Applying equations with variables on both sides
12:18

Learn how to solve several common average problems

Solving common average problems
12:47

Learn how to solve several common triangle equation problems

Using equations with triangles
11:44
+
Solving linear equations with fractions and decimals
8 Lectures 01:47:50

Learn how to find the least common multiple of two numbers and form equivalent fractions

Forms of the number 1 and least common multiples
14:37

Learn how to solve equations with fractions

Solving x+a=b with fractions
15:50

Learn how to solve equations that have two fractions


Solving ax+b=c with fractions
13:34

Review concepts related to forming equivalent fractions

Solving ax+b=cx+d with fractions
14:44

Learn how to solve equations with decimals

Solving equations with decimals
09:23

Learn how to solve literal equations

Solving literal equations
11:22

Learn how to solve absolute value equations

Solving equations with absolute value
15:06

Learn how to solve a variety of equations

Equations of a variety of types
13:14
+
Additional applications of linear equations
9 Lectures 01:36:22

Learn how to solve a variety of mixture problems

Solving mixture problems with one variable
13:53

Learn how to solve several common age problems

Simple interest problems
12:21

Learn how to solve a variety of problems on finding the ages of various people.

Solving age problems
16:40

Learn about applying absolute value

Applying the concept of absolute value
09:58

Learn how to solve various variation problems, part 1

Variation problems, part 1
12:20

Learn how to solve various variation problems, part 2

Variation problems, part 2
08:20

Learn how to solve a variety of consecutive integer problems

Solving consecutive integer problems
12:45

Take a look at three challenge problems

Challenge problems
01:24

Additional examples of variable expression

Evaluating more complex variable expressions
08:41
+
Graphing
9 Lectures 01:39:08

Learn how to plot points

Preview 12:48

Learn how to graph vertical and horizontal lines

Graphing horizontal and vertical lines
09:48

Learn how to find the equations of lines 

Equations of lines from graphs
13:34

Learn how to graph lines using the slope and y intercepts

Graphing using slope and y intercepts
13:56

Learn how to graph lines using x and y intercepts

Graphing using x and y intercepts
10:40

Learn how to find parallel lines

Finding parallel lines
09:52

Learn how to find the equations of perpendicular lines

Finding perpendicular lines
11:56

Review of some previews concepts

Spiraled review
02:04

Take a look at several applications of slopes and y intercepts

Applications of slopes and intercepts
14:30
+
System of equations
6 Lectures 01:05:53

Learn how to solve systems of equations using substitution

Preview 09:00

Learn how to solve systems of equations using substitution

Solving systems with substitution after isolating a variable
14:54

Learn how to solve systems of equations using elimination

Solving systems using elimination
15:01

Learn how to solve systems of equations with decimals

Solving systems with decimals
06:19

Learn how to solve systems of linear equations with graphs

Solving systems by graphing
10:47

Learn how to differentiate among the three types of possible solutions to systems of linear equations

Understanding the three types of solutions to systems
09:52
+
Applications of systems of equations
6 Lectures 01:27:47

Learn how to solve mixture problems with two variables

Mixture problems with two variables
11:52

Learn how to solve mixture problems with variables, part 2

Mixture problems with two variables, part2
14:56

Learn how to create and solve systems of equations to solve common motion problems involving wind, water, boats and airplanes.

Solving wind and current motion problems
16:20

Learn how to solve several common investment problems involving systems of equations


Investment problems
17:07

Learn how to solve several common ticket problems using systems of equations

Ticket sales problems
12:43

Learn how to solve several common coin problems

Solving coin and bill problems
14:49
+
Linear inequalities
11 Lectures 02:13:43

Learn how to solve simple linear inequalities

Solving linear inequalities, part 1
13:28

Learn how to solve linear inequalities, part 2

Solving linear inequalities, part 2
12:01

Learn how to solve compound and inequalities

Solving and compound inequalities
09:37

Learn how to solve compound or inequalities

Solving or compound inequalities
08:56

Learn how to solve absolute value inequalities

Solving absolute value inequalities
13:28

Learn how to graph solutions to a variety of inequalities

Graphing solutions to inequalities
17:14

Learn how to apply inequalities to real life situations

Applying inequalities
17:37

Learn how to solve more advanced inequality examples

Advanced inequality concepts 1
08:33

Learn how to solve more advanced inequality examples

Advanced inequality concepts 2
05:03

Learn how to solve several misc. problems in algebra


Misc. exercises
14:20

Learn how to graph inequalities in two variables

Graphing inequalities in two variables
13:26
2 More Sections
About the Instructor
Tom O.
4.5 Average rating
1,555 Reviews
17,371 Students
19 Courses
Web, Math, Stats., and Physics Expert
  • I have nine years experience as a teacher of mathematics, physics, statistics, and programming. I worked for five years as a database programmer using various technologies such as .NET, Clipper, SQL, SQL Server, SAS, Excel, and others. I'm the publisher of one of the most successful programming courses on udemy, called "Learn C# With Visual Studio 2013". Currently, I work as a mathematics and computer science teacher at a college in NY.
  • Related Education:
  • Master of Science in Applied Statistical Computing, Kennesaw State University
  • Bachelor of Arts, Pure Mathematics, Queens College
  • Associates of Science in Computer Programming
  • Creator of more than 1620 math, physics, statistics and programming videos
  • Programmer of more than 500 educational simulations


Miles Turnbull
4.3 Average rating
51 Reviews
320 Students
4 Courses

My principal interests lie in the automation of scientific instrumentation and analysis of collected data, along with the integration of disparate systems.  Recently developed some expertise in customising a major CRM deployment and developed a bunch of custom database queries to derive critical management information and user dashboards.
Qualified in Computer Studies, Electronic Engineering and Chemistry, I work in the support of significant scientific computer applications.  I have lectured in Computer Studies at a community college in the United Kingdom.