What you'll learn

43 lessons in Algebra

Variables & expressionsLinear equationsFunctionsExponent rulesPolynomialsFactoring quadraticsSolving quadraticsLinear inequalitiesSet-builder & interval notationSystems of equationsRational expressionsRadical expressions & equationsCompleting the square & quadratic formulaPolynomial long & synthetic divisionSequences & arithmetic/geometric seriesAbsolute value & piecewiseProofs in algebra (selected)Pascal's identity & binomial theorem proofVieta's formulasExponential & logarithmic equationsFunction composition & inversesRatio, proportion & variationArithmetic & geometric progressionsThe arithmetic, geometric & harmonic meansPartial fractionsSurds: conjugates & denestingContinued fractions & convergentsTheory of equations: roots & Descartes' ruleMultinomial & exponential theoremsThe AM–GM inequalityThe Cauchy–Schwarz inequalityThe rearrangement inequalityFunctional equationsSymmetric polynomials & Newton's identitiesLagrange interpolation & finite differencesRoots of unityPolynomial GCD, resultants & discriminantsLinear recurrences & closed formsPower mean & Jensen's inequalityRate, work & mixture problemsLinear models in contextQuadratic applicationsChoosing a model: linear vs exponential

How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the day its model predicts you would forget it. A short placement check finds what you already know, so you start Algebra exactly where it's useful.

Start Algebra →