Free Course Image College Algebra Full Course

Free online courseCollege Algebra Full Course

Duration of the online course: 6 hours and 43 minutes

New

Build confidence in college algebra with a free online course on inequalities and interval notation, plus practice questions and support toward a certificate-ready skillset.

In this free course, learn about

  • Core college algebra skills: simplifying, factoring, and solving algebraic expressions
  • Solving linear and quadratic equations, including using the quadratic formula
  • Graphing functions and analyzing key features like intercepts and transformations
  • Understanding and using interval notation to describe solution sets
  • Interpreting ranges/solution sets for inequalities and equations on the real number line
  • Factoring polynomials by taking out common factors (e.g., recognizing shared x or x^2 - 6x)
  • Solving polynomial inequalities by factoring and sign analysis across critical points
  • Determining where x^3 - 5x^2 - 6x is greater than or equal to 0
  • Selecting correct interval notation for sets like -2 < x <= 3 (i.e., (-2, 3])

Course Description

Strengthen your algebra foundation and approach college-level math with more confidence in this free online course built to clarify the ideas that often slow students down. You will focus on the language of algebra as much as the calculations, so you can read a problem, translate it into symbols, and know what the answer actually means. Whether you are preparing for an exam, returning to school, or upgrading core skills for STEM and business pathways, this course helps you build reliable methods you can reuse in future classes.

A key theme is understanding inequalities and the way mathematicians communicate solution sets. Instead of stopping at a final expression, you will learn to describe where a statement is true and how to express that set cleanly. Interval notation becomes a practical tool rather than a confusing code: you will see how it captures ranges, endpoints, and inclusivity in a concise, standard format commonly required in homework systems and tests.

The course also develops your ability to solve polynomial inequalities by turning them into something manageable. You will practice rewriting expressions to reveal structure, factoring strategically, and using sign analysis to determine where an expression is nonnegative. This builds deeper pattern recognition, so when you encounter a new inequality, you can decide quickly which technique fits and why. Along the way, you will connect algebraic steps to graphical and logical intuition, reducing mistakes that come from memorizing rules without meaning.

Practice questions reinforce each concept and help you check your understanding right away. By the end, you should be more fluent with notation, more accurate when working with inequalities, and better prepared for the algebra demands of college courses and placement assessments. If you are looking for a clear, self-paced refresher or a structured way to close gaps, this course offers a straightforward path to stronger algebra skills.

Course content

  • Video class: College Algebra - Full Course 6h43m
  • Exercise: What is the notation used in mathematics to specify a range of values for which an inequality, equation, or other mathematical statement is valid?
  • Exercise: What is the purpose of using interval notation when describing inequalities?
  • Exercise: For which values of x is the expression x cubed minus 5x squared minus 6x greater than or equal to zero?
  • Exercise: What type of expression do x^3 - 5x^2 - 6x and x^2 - 6x share to suggest a common factor that could be factored out when solving for x?
  • Exercise: How can you solve the inequality x^3 - 5x^2 - 6x ≥ 0?
  • Exercise: Which of the following notations correctly represents the set of all real numbers less than or equal to 3 and greater than -2?

This free course includes:

6 hours and 43 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

100% free, from content to certificate

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