AI Algebra Solver

Algebra Topics We Cover

Linear Equations & Inequalities

Solving linear equations in one variable, linear inequalities (including those with negative coefficient division where the inequality reverses), and representing solutions on a number line. The solver shows each rearrangement step clearly, making it easy to follow the logic from the original equation to the final answer. It also handles equations with fractions and brackets, expanding and simplifying before solving.

Simultaneous Equations

Both elimination and substitution methods for solving pairs of linear simultaneous equations. For A-Level, the solver also handles simultaneous equations where one equation is linear and the other is quadratic, showing the substitution, expansion, and use of the quadratic formula or factorisation to find both pairs of solutions.

Quadratic Equations

Solving quadratics by factorisation, completing the square, and using the quadratic formula. The solver determines the most efficient method based on the coefficients and shows the discriminant calculation to determine the nature of the roots. It also handles quadratic inequalities, sketching the parabola conceptually and identifying the solution set from the graph.

Polynomials & Factor Theorem

Polynomial long division, the factor theorem, the remainder theorem, and factorising cubics and higher-degree polynomials. The solver systematically tests potential factors using the factor theorem and performs polynomial division to find the remaining factors. It presents the complete factorisation and identifies all roots, including repeated roots.

Algebraic Proof

Proof by deduction, proof by exhaustion, proof by contradiction, and disproof by counterexample. The solver constructs logically rigorous proofs with clear statements at each step. For proof by contradiction, it correctly assumes the negation, derives the contradiction, and states the conclusion. These questions are worth significant marks at both GCSE and A-Level.

Perfect for Revision

Algebra appears in virtually every maths exam paper, often as the foundation for questions in other topic areas. Our solver helps you build confidence with algebraic manipulation by showing you the correct working for any problem you upload. Use it alongside past papers to check your answers and identify where you are making errors in your method.

See also our specialised calculus solver for differentiation and integration, or our GCSE maths solver for comprehensive GCSE coverage.