The Algebra Calculator is your gateway to a complete suite of free algebra tools. Whether you need to solve quadratic equations, find x in a linear equation, work through a system of equations, or factorise a polynomial, our specialised calculators handle it all with step-by-step solutions.
Choose a calculator below to get started. Each tool provides instant results, detailed working, and clear mathematical notation so you can understand every step of the solution process.
Solve quadratic equations using the quadratic formula. Find roots, discriminant, and vertex. Free online quadratic formula calculator.
Solve algebraic equations for x. Handles linear, quadratic, polynomial, and simple equations. Free online equation solver.
Solve systems of linear equations with 2 or 3 unknowns. Step-by-step solutions using substitution, elimination, and Cramer's rule. Free online tool.
Find all factors, prime factorisation, factor pairs, GCD, and LCM. Free online factor calculator with instant results.
Graph quadratic functions instantly. Plot parabolas, find vertex, axis of symmetry, and roots. Free online quadratic graphing tool.
Calculate slope from two points, find slope-intercept and point-slope form. Free online slope calculator with graphing.
Algebra is the branch of mathematics that uses letters and symbols to represent numbers and quantities in formulas and equations. It provides a framework for generalising arithmetic operations and for solving problems where one or more values are unknown.
At its core, algebra involves finding the values of variables that make equations true. A simple example is solving x + 3 = 7, where x = 4. More advanced algebra deals with polynomials, systems of equations, matrices, and abstract structures.
Algebra is essential in science, engineering, economics, computer science, and countless other fields. The calculators on this page cover the most common algebra tasks students and professionals encounter.
Equations of the form ax + b = c, where the variable has an exponent of 1. These produce straight lines when graphed. Use our Solve For X Calculator to find solutions instantly.
Equations of the form ax² + bx + c = 0. These have up to two solutions, found using the quadratic formula. The discriminant (b² - 4ac) determines whether solutions are real or complex. Our Quadratic Formula Calculator handles all cases.
Two or more equations with shared variables, solved simultaneously. Methods include substitution, elimination, and matrix operations. Our System of Equations Calculator supports 2-variable and 3-variable systems.
Breaking down numbers or expressions into their component factors. For integers, this means prime factorisation. For polynomials, it means expressing them as products of simpler polynomials. Use the Factor Calculator for instant results.