Free online courseAdvanced Algebra Lessons

Course Description

Strengthen the algebra skills that show up again and again in higher math, science courses, and exam prep. This free online course is designed for learners who want more than memorizing steps: you will learn how to think through problems, check your work, and recognize patterns that make challenging questions feel manageable. Whether you are catching up after a tough unit or pushing ahead for a stronger foundation, the lessons focus on building accuracy and confidence.

You will work with absolute value equations by turning them into clear, solvable cases and by understanding what the graphs are telling you. Quadratic equations are treated from multiple angles so you can choose the method that fits the situation, including techniques that reveal structure rather than hiding it behind shortcuts. When equations lead into the imaginary and complex number system, you will see exactly why those solutions appear and how to interpret them correctly, which is essential for advanced algebra success.

The course also develops fluency with rational expressions and rational equations, including the key habits that prevent common mistakes such as losing restrictions or introducing extraneous solutions. Instead of rushing, you will learn to simplify cleanly, pick an efficient approach, and confirm that your final answer makes sense. These skills transfer directly to later topics like functions, calculus preparation, and technical problem solving.

To round out your toolkit, the course connects algebra to trigonometry through right-triangle ratios and oblique-triangle strategies, helping you move between relationships, angles, and lengths with purpose. You will also practice interpreting and transforming conic sections like hyperbolas and ellipses, a topic that rewards visual reasoning and careful algebraic manipulation. With video explanations and practice-style questions throughout, this course supports steady progress, stronger test performance, and a more confident approach to advanced math.