Algebrabeginner
Algebra Foundations
Build confidence with expressions, equations, inequalities and graphs: the base for all higher maths.
- Lessons
- 13 lessons in 4 modules
- Study time
- about 7 hours
- Duration
- ~5 weeks at your own pace
Free plan: counts as one of your 2 new courses this month. Plans
What you'll learn
- Simplify expressions and solve linear equations
- Solve inequalities and simultaneous equations
- Work with exponents, polynomials and factorisation
- Solve quadratic equations and read graphs
Syllabus
Module 1ExpressionsThe language of algebra.3 lessons
- Variables and expressionsTranslate word statements into algebraic expressions.30 min
- Simplifying and expandingCollect like terms and expand brackets.30 min
- Exponents and their rulesApply the laws of exponents, including negative and zero powers.30 min
Module 2Equations and inequalitiesFinding the unknown.4 lessons
- Solving linear equationsSolve one-variable equations step by step and check the answer.30 min
- Word problemsSet up and solve equations from real situations.30 min
- Linear inequalitiesSolve inequalities and show solutions on a number line.30 min
- Simultaneous equationsSolve two equations by substitution and elimination.30 min
Module 3PolynomialsFactorising and quadratics.3 lessons
- Polynomials and their operationsAdd, subtract and multiply polynomials.30 min
- FactorisationFactorise using common factors, identities and grouping.30 min
- Quadratic equationsSolve quadratics by factorising and by the formula.30 min
Module 4Functions and graphsSeeing algebra.3 lessons
- Coordinates and straight-line graphsPlot lines and find slope and intercept.30 min
- FunctionsUse function notation and find domain and range.30 min
- Graphs of quadraticsSketch parabolas and find their vertex and roots.30 min