Algebra Lessons

This algebra course runs in the order a student usually meets the topics: the arithmetic and notation every later lesson relies on, then solving equations and inequalities, then graphs and functions, and finally the families of functions that algebra 2 and precalculus build on — polynomials, exponentials and logarithms, systems of equations, and sequences and series.

Each lesson explains one idea in plain language, works through examples step by step, and points out the mistakes that cost marks most often. Most lessons end with a link to a matching set of practice problems with full worked solutions, so you can check your understanding straight away rather than rereading.

If you are revising rather than learning from scratch, use the course outline to jump to a chapter, or keep the algebra cheat sheet open as a one-page reference. If a later lesson feels hard, the cause is usually a gap in an earlier one: shaky fractions and exponents make rational and exponential equations much harder than they need to be, so the Preliminaries chapter is worth a quick look even if you have seen it before.