Algebra - Part 1

Introductory course in Algebra. Master these basic skills for advance level courses.
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  • Lectures 43
  • Length 5 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 10/2016 English

Course Description

This is an introductory course in Algebra.  This lecture series contains 9 video lectures and corresponding assignments with solutions on Algebra.  The main objective for this course is to develop skills in solving Linear and Quadratic equations.  Each lecture is subdivided in to different topics so that you can self learn at your own pace.  During the beginning of each lecture, you will find the downloadable files for assignments and its solutions.  I encourage each student to complete the assignment after working through video lectures.  During each lecture, I will give you few examples to practice.  You can keep yourself ready to participate in that exercise by pausing the video and practicing that example and then resume back so that I can walk you through the example.   At Math Foundation, we are interested in developing course materials which can clearly explain the fundamentals and built up the strong foundation in mathematics.  If you are a Math student, an Engineer, Scientist or just a curious student and interested in learning about the concepts in Algebra; then this course is a perfect choice.

What are the requirements?

  • Get your pens, pencils and notebook ready. While watching lectures; you will also be asked to participate and solve problems. This will make things more interactive on Students end.

What am I going to get from this course?

  • In this course, you will learn following topics
  • Real number system, Operations with real numbers
  • Solve linear, quadratic and radical equations. Solve linear inequalities.
  • Factoring, Rational expressions, Radicals
  • Solve systems of equations
  • Graph linear equations, solve systems of equations using graphing

Who is the target audience?

  • Students about to take algebra class or existing students thinking of getting ahead in the class.
  • Algebra finds its applications in Engineering. So, any engineer or scientist who is dealing with equations and like to enhance their understanding could take Algebra course.
  • Students preparing for SAT, GRE and GMAT exams

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Basic Arithmetic Skills - 1

Learn about different types of numbers


Learn about graphical representation of sets of real numbers using Number line


Intersection and union of sets explained with an example


Learn the definition of Prime numbers and Composite numbers.  Learn to identify Prime numbers and examples on writing composite numbers using products of prime numbers.


GCF and LCM  are explained with examples


Get familiar with inequality and equality symbols and how to use them with examples

Section 2: Basic Arithmetic Skills - 2

In this video, you will learn to write the sets of real numbers using interval notation


In this video, you will learn the properties of addition, subtraction, multiplication and division


In this video, you will learn about Inclusive inequality, Strict inequality and Compound inequality


In this video, you will learn to apply rules of order of operations to simplify algebraic expressions

Section 3: Introduction to Algebra

In this video, you will learn the definition of Algebraic expression

Like terms
Simplify Expressions
Exponents, Rules for exponents, Negative exponent, Simplify expressions

In this video, you will learn about polynomial, degree of a polynomial, classification of polynomials and writing polynomials in standard form

Section 4: Solving Equations

Understand the definition of Algebraic Expressions with examples


Examples on solving linear equations


Techniques for solving linear equations


Learn the addition, subtraction, multiplication and division properties of inequalities


Learn to solve linear inequalities and graph the solution set on a number line with examples

Section 5: Radicals

Learn the definition of radicals with an example


Learn the product and quotient rule of radicals to simplify expressions


Learn the concept of like radicals with an example

Square root and cube root of algebraic expression

Multiplying radical expressions examples.


Solve radical equations examples


Square root of a negative number examples


Definition of complex numbers.  Addition, subtraction, multiplication and division of complex numbers.

Section 6: Methods of Solving Linear and Quadratic Equations

GCF of polynomials examples


Solve linear equation using zero product property examples


Factoring by grouping examples

Difference of squares rule
Squaring and cubing a binomial
Solve Quadratic equation - method of completing square
Solve systems of equations - Substitution method
Solve systems of equations - elimination method
Section 7: Rational Expressions
Rational Expressions
Section 8: Quadratic Equations

Solve Quadratic Equation using Square root property


Derive Quadratic formula.  Solve Quadratic equations using Quadratic formula examples.

Section 9: Graphing Equations in Algebra

Examples on graphing points in Cartesian-plane


Find slope of a line. Graph an equation of the line.

Solving systems of equations by graphing

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Instructor Biography

Twinkle Shah, Engineer

I am enthusiast scientist who believes in science and appreciates its existence.  I have 10 years of experience as an R&D Engineer.  I have mentored few students and about 2 years of teaching experience.  I like teaching from my experiences and mentoring others. I think that Science is not a magic.  Science is a real truth!    

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