Algebra guides
Use these algebra guides to review common methods, worked routes, and revision-style examples before deciding whether you need the solver tool.
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Quadratics, factorising, simultaneous equations, rearranging formulas, and more.
This cluster currently includes 43 live pages.
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A plain-language guide to solving quadratic equations using factorising, the quadratic formula, and completing the square.
A broad guide to quadratic equations covering factorising, completing the square, the quadratic formula, answer checks, and practice prompts.
A method-specific guide to factoring quadratic equations, including clean examples, a coefficient before x^2, and when to switch methods.
A broad guide to factoring trinomials, including when a = 1, when a is not 1, answer checks, and common slips.
A worked guide to factoring trinomials step by step, with clean examples, sign checks, and answer verification.
A focused guide to the easiest trinomial factorisation pattern, where the coefficient before x^2 is 1.
A worked guide to trinomials with a coefficient before x^2, using the ac method and grouping logic.
A practical guide to checking whether a trinomial factorisation is correct by expanding, comparing terms, and spotting sign slips.
Review the most common potential slips in trinomial factorisation, including sign errors, wrong factor pairs, and forcing brackets too early.
A practical guide to factoring trinomials with negative middle terms, negative constants, and mixed sign bracket patterns.
A worked guide to the quadratic formula, including substitution, discriminant meaning, and examples that do not factor easily.
A focused guide to the slips people make with quadratics, including sign errors, wrong method choice, and weak answer-checking habits.
A practical guide to checking quadratic solutions by substitution, bracket expansion, and discriminant-based sanity checks.
A beginner-friendly guide to graphing quadratics, reading turning points, and connecting square form to the shape of the curve.
A focused guide to what it means when a quadratic has two distinct real roots, and how to recognise that case quickly.
A focused guide to repeated roots in quadratics and how to recognise the case where the parabola touches the x-axis once.
A focused guide to the case where the discriminant is negative and the quadratic has no real roots on the x-axis.
A broad guide to simultaneous equations covering elimination, substitution, answer checks, common mistakes, and practice prompts.
Worked examples showing how to factorise common algebraic expressions, including quadratics.
A worked guide to turning a quadratic into square form so it can be solved or graphed more easily.
A plain-language guide to solving simultaneous equations using elimination and substitution, with worked examples.
A method-specific guide to elimination, including aligned examples, coefficient matching, and answer checks.
A method-specific guide to substitution, including isolated-variable examples, bracket handling, and answer checks.
A practical guide to checking simultaneous-equation answers by substituting values back into both original equations.
A focused guide to the slips people make in simultaneous equations, including sign errors, weak elimination choices, and substitution mistakes.
A comparison guide showing when elimination is cleaner, when substitution is shorter, and how to choose the right route quickly.
A concept page explaining inconsistent simultaneous equations, parallel lines, and why some systems have no shared answer.
A concept page explaining dependent systems, same-line cases, and why some simultaneous equations represent infinitely many shared points.
A guide to rearranging algebraic formulas step by step so one chosen variable is isolated cleanly.
A broad guide to linear equations covering one-step, two-step, fractions, decimals, answer checks, and practice prompts.
A plain-language guide to solving linear equations using one-step, two-step, and slightly messier worked examples.
A beginner-friendly guide to one-step equations covering addition, subtraction, multiplication, and division examples.
Worked examples showing how to solve linear equations that include fractions without losing track of the arithmetic.
Worked examples showing how to expand single and double brackets in algebra step by step.
A short guide to combining like terms and simplifying algebraic expressions cleanly.
Worked examples for solving two-step algebra equations by undoing operations in the right order.
A practical guide to checking linear-equation answers by substitution, including quick verification routines and common checking slips.
A focused guide to the slips people make in linear equations, including order errors, sign mistakes, and weak answer-checking habits.
A worked guide to solving linear equations with decimals, including ways to simplify the arithmetic before isolating the variable.
A method-choice guide explaining when clearing denominators makes a linear equation cleaner and when it is optional.
A worked guide to solving equations with brackets by expanding carefully and then returning to the normal linear-equation routine.
A plain-language guide to simplifying and solving expressions that include algebraic fractions.
Worked examples showing how to substitute values into algebraic expressions and evaluate them carefully.
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