Free Course Image Algebra Introduction

Free online course Algebra Introduction

Duration of the online course: 1 hours and 18 minutes

5

StarStarStarStarStar

(3)

Build algebra confidence fast with a free online course: linear equations, slopes, exponents, and quadratics plus practice questions and progress-ready skills.

In this free course, learn about

  • Core algebra concepts: variables, expressions, equations, and simplification
  • Test whether a point satisfies a linear equation (lies on a line)
  • Convert standard-form linear equations to slope-intercept form (y=mx+b)
  • Find y-intercepts from linear equations and interpret them on the plane
  • Compute slope from a linear equation in standard form (Ax+By+C=0)
  • Find perpendicular slopes using negative reciprocals
  • Write the equation of a perpendicular line through a given point (point-slope form)
  • Apply the power-of-a-power rule for exponents: (a^m)^n = a^(mn)
  • Use Vieta’s formulas to find sum of roots of a quadratic: -b/a

About the free online course

Strengthen your math foundation by learning the algebra skills that show up everywhere: in school exams, science classes, and everyday problem solving. This free online course is designed for anyone who wants a clear, beginner-friendly introduction to algebra, with simple explanations that turn confusing symbols into tools you can actually use.

You will connect the big ideas of algebra to practical questions: how equations describe lines, how to recognize whether a point fits an equation, and how to interpret key features of a graph such as intercepts and slope. By working with linear equations in standard form, you will learn how to rearrange expressions, isolate variables, and check your work confidently rather than guessing.

The course also guides you through core concepts that often cause trouble for beginners. You will practice exponent rules so you know which property applies when one exponent is raised to another, helping you simplify expressions correctly and avoid common mistakes. You will then move into quadratic equations with an emphasis on what solutions mean and how relationships between coefficients and roots can save time when answering questions.

Along the way, you will develop the kind of algebra fluency that makes later topics easier: recognizing patterns, translating a word or equation into a mathematical structure, and understanding how changing numbers changes outcomes. With focused practice questions, you can test your understanding immediately and build accuracy step by step. By the end, you will be better prepared for coursework, standardized tests, and any subject that depends on algebra fundamentals.

Course content

  • Video class: Algebra Introduction - Basic Overview - Online Crash Course Review Video Tutorial Lessons 1h18m
  • Exercise: Given the linear equation 3x + 2y - 7 = 0, which of the following points lies on the line represented by this equation?
  • Exercise: What is the equation of a line perpendicular to the line 3x + 2y - 7 = 0 and passing through the point (-2, 1)?
  • Exercise: What property of exponents should be used when raising one exponent to another exponent?
  • Exercise: What is the sum of the solutions for the quadratic equation 3x^2 - 5x + 2 = 0?
  • Exercise: Given that the equation 3y + 3x = 12 represents a straight line on a Cartesian plane, which of the following is the correct expression for the y-intercept of this line?
  • Exercise: What is the slope of the line that is perpendicular to the line defined by the equation 3x + 2y - 7 = 0?

This free course includes:

Icon for learning via the audio course

1 hours and 18 minutes of online video course

Icon for the digital course completion certificate

Digital certificate of course completion (Free)

Icon for exercises to practice what you've learned

Exercises to train your knowledge

Icon for courses that are 100% free from start to finish

100% free, from content to certificate

How do you find a point that lies on the line 3x + 2y - 7 = 0?

Substitute the point’s x- and y-values into the equation. The point lies on the line if the result equals 0.

What is the equation of the line perpendicular to 3x + 2y - 7 = 0 through (-2, 1)?

The perpendicular slope is 2/3, so the equation is y - 1 = (2/3)(x + 2).

What is the sum of the roots of 3x² - 5x + 2 = 0?

Using -b/a, the sum of the solutions is 5/3.

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!