Free Course Image Learn Algebra

Free online courseLearn Algebra

Duration of the online course: 9 hours and 22 minutes

New course

Explore the world of algebra with a comprehensive online course covering equations, inequalities, functions, matrices, and more, all designed to boost your math skills.

In this free course, learn about

  • Algebra Foundations and Linear Equations
  • Matrices and Linear Systems
  • Polynomials, Factoring, and Radicals
  • Functions and Graphs
  • Advanced Polynomial Techniques and Roots
  • Logarithmic and Exponential Functions
  • Conic Sections
  • Applied Algebra and Word Problems

Course Description

Discover a comprehensive exploration into the world of algebra with this in-depth course designed to enhance your understanding of mathematical principles. As you immerse yourself in this program, you'll start with foundational concepts and gradually advance to more complex topics, ensuring a well-rounded mastery of algebra.

Begin your journey by learning how to solve equations and inequalities. Familiarize yourself with two-variable equations and the concept of rate of change, essential for understanding systems of equations and inequalities. Dive into the intricacies of matrix algebra, determinants, and Cramer's Rule, all while developing skills in reduced row echelon form and solving systems of equations.

Progress through the course by mastering polynomials, factoring, and the manipulation of radical expressions. Tackle quadratic equations with confidence and gain insight into the Fundamental Theorem of Algebra. Enhance your learning experience by exploring functions, graphing techniques, and the seven fundamental graphs that form the basis for advanced graph transformation.

Learn to factor effectively using Descartes' Rule of Signs and develop a robust understanding of logarithms and logarithmic functions. Equip yourself to solve exponential equations and delve into the fascinating world of conic sections, encompassing circles, parabolas, ellipses, and hyperbolas.

Finally, consolidate your expertise by solving algebraic word problems and ratio challenges, ensuring that you're prepared to apply your skills in real-world scenarios. This course offers a thorough grounding in algebra, setting the stage for future success in mathematics and related fields, all at no cost to you.

Course content

  • Video class: Learn Algebra 22m
  • Exercise: What is a variable in algebra?
  • Video class: Learn Algebra 2 16m
  • Exercise: What is the Distributive Property of Multiplication?
  • Video class: Learn Algebra 3 : Solving Equations 10m
  • Video class: Learn Algebra 4 : Solving Inequalities 08m
  • Exercise: What happens to the inequality when multiplying or dividing by a negative number?
  • Video class: Learn Algebra 5 : Solving 2 Variable Equations 13m
  • Exercise: How to find the equation of a line through two points?
  • Video class: Learn Algebra 6 : Rate of Change 18m
  • Video class: Learn Algebra 7 : Systems of Equations 16m
  • Video class: Learn Algebra 8 : Systems of Inequalities 18m
  • Video class: Learn Algebra 9 : Matrix Algebra 15m
  • Exercise: What is the result of scalar multiplication of matrix A by 2?
  • Video class: Learn Algebra 10 : Determinants 15m
  • Exercise: What is the determinant of a 2x2 matrix with elements 1, 2, 3, and 4?
  • Video class: Learn Algebra 11 : Cramer's Rule 09m
  • Exercise: How do you find the values of x and y using Cramer's Rule for the equations: 2x + y = 7 and x - y = 2?
  • Video class: Learn Algebra 12 : Reduced Row Echelon Form 29m
  • Video class: Learn Algebra 13 : Solving Systems of Equations 26m
  • Video class: Learn Algebra 14 : Calculate Inverse Matrix 19m
  • Video class: Learn Algebra 15 : Polynomials 09m
  • Video class: Learn Algebra 16 : Factoring 17m
  • Exercise: What is the greatest common factor of 64, 128, and 160?
  • Video class: Learn Algebra 17 : Radical Expressions 10m
  • Exercise: What is the simplified form of the expression?
  • Video class: Learn Algebra 18 : Radicals 15m
  • Exercise: What is the result of adding 8√2 and 6√8?
  • Video class: Learn Algebra 19 : Quadratic Equations 13m
  • Video class: Learn Algebra 20 : Fundamental Theorem of Algebra 11m
  • Exercise: What does a negative discriminant indicate about the roots of a quadratic equation?
  • Video class: Learn Algebra 21 : Functions 15m
  • Video class: Learn Algebra 22 : Graphing Functions 13m
  • Exercise: What is the domain of the function 4/x?
  • Video class: Learn Algebra 23 : 7 Fundamental Graphs 15m
  • Exercise: What determines the symmetry of a function graph?
  • Video class: Learn Algebra 24 : Graph Transformation 16m
  • Video class: Learn Algebra 25 : Factor 14m
  • Exercise: What theorem relates to polynomial division and predicts remainders?
  • Video class: Learn Algebra 26 : Descartes Rule of Signs 17m
  • Exercise: Applying Descartes' Rule of Signs and the Rational Root Test
  • Video class: Understand Logarithms 18m
  • Exercise: What is the natural logarithm used for?
  • Video class: Learn Algebra 28 : Logarithmic Functions 11m
  • Exercise: What is the logarithmic transformation of 2^x = 16?
  • Video class: Learn Algebra 29 : Exponential Equations 16m
  • Exercise: What does the one-to-one property of exponentials state?
  • Video class: Learn Algebra 30 : Conic Sections Circles 09m
  • Exercise: What is the distance between two points (1, 5) and (-2, 1)?
  • Video class: Learn Algebra 31 : Conic Sections Parabolas 15m
  • Exercise: What is the vertex form of a parabola?
  • Video class: Learn Algebra 32 : Conic Sections Ellipses 14m
  • Exercise: What is the center point of the ellipse given by the equation: (x - 2)²/9 + (y - 4)²/16 = 1?
  • Video class: Learn Algebra 33 : Hyperbolas 14m
  • Exercise: What is the length of the conjugate axis in a hyperbola with b = 3?
  • Video class: Solve Algebra Word Problems 25m
  • Exercise: How many cartons did he start with?
  • Video class: Solve Ratio Word Problems 26m
  • Exercise: What is the simplified ratio of money saved by Pam and Rick?

This free course includes:

9 hours and 22 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

100% free, from content to certificate

Ready to get started?Download the app and get started today.

Install the app now

to access the course
Icon representing technology and business courses

Over 5,000 free courses

Programming, English, Digital Marketing and much more! Learn whatever you want, for free.

Calendar icon with target representing study planning

Study plan with AI

Our app's Artificial Intelligence can create a study schedule for the course you choose.

Professional icon representing career and business

From zero to professional success

Improve your resume with our free Certificate and then use our Artificial Intelligence to find your dream job.

You can also use the QR Code or the links below.

QR Code - Download Cursa - Online Courses

More free courses at Algebra

Free Ebook + Audiobooks! Learn by listening or reading!

Download the App now to have access to + 3300 free courses, exercises, certificates and lots of content without paying anything!

  • 100% free online courses from start to finish

    Thousands of online courses in video, ebooks and audiobooks.

  • More than 48 thousand free exercises

    To test your knowledge during online courses

  • Valid free Digital Certificate with QR Code

    Generated directly from your cell phone's photo gallery and sent to your email

Cursa app on the ebook screen, the video course screen and the course exercises screen, plus the course completion certificate

+ 9 million
students

Free and Valid
Certificate

60 thousand free
exercises

4.8/5 rating in
app stores

Free courses in
video and ebooks