Algebra Calculators
Browse our comprehensive collection of algebra calculators for equation solving, graphing, factoring, simplification, inequalities, matrices, and more. Free online tools for students, teachers, and math enthusiasts.
Quadratic Equation Solver
Solve quadratic equations ax² + bx + c = 0 with step-by-step solutions using the quadratic formula.
equationLinear Equation Solver
Solve linear equations in one variable with detailed step-by-step isolation and verification.
equationSystem of Equations Solver
Solve systems of linear equations using substitution, elimination, or matrix methods.
equationCubic Equation Solver
Find real and complex roots of cubic equations with detailed factoring and root visualization.
equationPolynomial Equation Solver
Solve polynomial equations of any degree with factoring, synthetic division, and root finding.
equationRational Equation Solver
Solve rational equations with step-by-step LCD method and domain restrictions.
equationRadical Equation Solver
Solve equations involving square roots, cube roots, and other radicals with extraneous solution checking.
equationAbsolute Value Equation Solver
Solve absolute value equations with case-by-case analysis and solution verification.
equationGraphing Calculator
Plot functions, find intersections, and explore graphs with interactive visualization.
graphingParabola Graphing Calculator
Graph parabolas, find vertex, axis of symmetry, focus, and directrix from quadratic equations.
graphingSlope & Intercept Calculator
Find slope, y-intercept, and equation of a line from two points or graph data.
graphingFunction Transformation Calculator
Apply transformations (shift, stretch, reflect) to functions and visualize the changes.
graphingAsymptote Finder
Find vertical, horizontal, and oblique asymptotes of rational functions.
graphingFactoring Calculator
Factor polynomials completely with step-by-step factorization and prime factor identification.
factoringDifference of Squares Calculator
Factor expressions of the form a² – b² with step-by-step factorization.
factoringPerfect Square Trinomial Calculator
Identify and factor perfect square trinomials with detailed steps.
factoringPolynomial Division Calculator
Divide polynomials using long division or synthetic division with step-by-step visualization.
factoringPolynomial Roots Finder
Find all real and complex roots of polynomial equations using numerical methods.
factoringRemainder Theorem Calculator
Evaluate polynomial remainders using the remainder theorem and synthetic division.
factoringAlgebraic Expression Simplifier
Simplify algebraic expressions by combining like terms, distributing, and reducing.
simplificationExponent Simplifier
Simplify expressions with exponents using laws of exponents and power rules.
simplificationRadical Simplifier
Simplify radical expressions and rationalize denominators with step-by-step work.
simplificationRational Expression Simplifier
Simplify rational expressions with factorization and cancellation of common factors.
simplificationExpand and Simplify Calculator
Expand algebraic expressions and simplify them in one go with detailed steps.
simplificationInequality Solver
Solve linear, quadratic, and rational inequalities with interval notation and graphing.
inequalityCompound Inequality Solver
Solve compound inequalities with AND/OR logic and visualize solutions on a number line.
inequalityAbsolute Value Inequality Solver
Solve absolute value inequalities with case analysis and interval notation.
inequalityQuadratic Inequality Solver
Solve quadratic inequalities using the sign chart method with interval solutions.
inequalityMatrix Calculator
Perform matrix operations: addition, subtraction, multiplication, inverse, determinant, and more.
matrixMatrix Determinant Calculator
Calculate the determinant of any square matrix with step-by-step expansion.
matrixMatrix Inverse Calculator
Find the inverse of a square matrix using Gauss-Jordan elimination with steps.
matrixSystem of Equations via Matrix
Solve systems of linear equations using matrix methods (inverse, Cramer's rule, row reduction).
matrixAugmented Matrix Solver
Perform row operations on augmented matrices and solve systems in reduced row echelon form.
matrixFunction Composition Calculator
Compute composite functions (f ∘ g)(x) with step-by-step substitution and simplification.
functionInverse Function Finder
Find the inverse of a function with detailed steps and domain/range verification.
functionDomain & Range Calculator
Find the domain and range of functions with interval notation and visualization.
functionFunction Evaluation Calculator
Evaluate functions at given points with step-by-step substitution and arithmetic.
functionLinear Function Calculator
Find equations of linear functions from points, slope, or intercept information.
functionArithmetic Sequence Calculator
Find terms, common difference, and sums of arithmetic sequences with formulas.
sequenceGeometric Sequence Calculator
Find terms, common ratio, and sums of geometric sequences with formula derivation.
sequenceFibonacci Sequence Calculator
Generate Fibonacci numbers and find terms using Binet's formula and recurrence.
sequenceSigma Notation Calculator
Evaluate sums using sigma notation with step-by-step arithmetic sequence and series summation.
sequenceSeries Sum Calculator
Find the sum of arithmetic, geometric, and other series with formula visualization.
sequenceWhat Are Algebra Calculators?
Our Algebra Calculators collection brings together a comprehensive suite of tools designed to help students, teachers, engineers, and math enthusiasts work through algebraic problems with confidence. Whether you're solving quadratic equations, factoring polynomials, graphing functions, or working with matrices, these calculators provide the insights and step-by-step guidance you need.
From equation solving and polynomial factoring to function graphing and matrix operations, our tools cover every core area of algebra. Each calculator is built with educational clarity in mind, showing not just the final answer but the reasoning behind it.
How to Use This Directory
- Search: Type a keyword into the search bar to find specific tools by name or description.
- Filter by Category: Use the dropdown to narrow down calculators by algebra topic — each option shows the number of tools available.
- Click to Use: Each calculator card links directly to the tool. Click on any card to start using it.
- Explore More: Check the "Explore More Math & Algebra Tools" section for related calculators across other categories.
Why Use Our Algebra Calculators?
- Comprehensive: Covers equation solving, graphing, factoring, simplification, inequalities, matrices, functions, and sequences.
- Free & Easy: No registration, no fees — just click and use any tool instantly.
- Step-by-Step: Each calculator provides detailed explanations, not just answers, to support learning.
- Mobile-Friendly: All tools work on any device, from desktop to smartphone.
- Always Growing: We're constantly adding new tools based on user feedback and curriculum needs.
❓ Algebra Calculators FAQ
What types of algebra calculators are available?
Our collection includes equation solvers (quadratic, linear, systems, cubic, polynomial), graphing calculators, factoring calculators, simplification tools, inequality solvers, matrix calculators, function calculators, and sequence/series calculators.
How do I solve a quadratic equation using the calculator?
Use our Quadratic Equation Solver. Enter the coefficients a, b, and c from ax² + bx + c = 0. The tool will show the discriminant, roots using the quadratic formula, and a step-by-step breakdown of the solution.
What is a system of equations and how do I solve it?
A system of equations is a set of two or more equations with the same variables. Our System of Equations Solver lets you solve using substitution, elimination, or matrix methods, with step-by-step work shown for each approach.
How do I factor a polynomial?
Use our Factoring Calculator. Enter the polynomial and the tool will attempt to factor it completely, showing each step including greatest common factor, grouping, and special product patterns.
What is the difference between solving an equation and simplifying an expression?
Solving an equation finds the value(s) of the variable that make the equation true (e.g., x = 2). Simplifying an expression rewrites it in a cleaner form without changing its value (e.g., 2x + 3x = 5x). Our Algebra Expression Simplifier handles the latter.
How do I graph a function?
Use our Graphing Calculator. Enter the function expression and the tool will plot it, showing key features like intercepts, vertex, and asymptotes. You can also zoom and adjust the viewing window.
What is matrix algebra and how is it used?
Matrix algebra is a branch of mathematics that deals with rectangular arrays of numbers. It's used in solving systems of equations, computer graphics, data analysis, and more. Our Matrix Calculator lets you perform operations like addition, multiplication, inversion, and determinant calculation.
How do I find the inverse of a function?
Use our Inverse Function Finder. Enter the function and the tool will compute its inverse, showing the steps: replace f(x) with y, swap x and y, solve for y, and replace y with f⁻¹(x).
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence has a constant difference between consecutive terms (e.g., 2, 5, 8, 11). A geometric sequence has a constant ratio between consecutive terms (e.g., 2, 6, 18, 54). Our sequence calculators handle both with formula-based solutions.
How do I solve an inequality?
Use our Inequality Solver. Enter the inequality and the tool will solve it, showing the solution set in interval notation and on a number line. It handles linear, quadratic, and rational inequalities.
What is the domain and range of a function?
The domain is the set of all possible input values (x-values) for a function. The range is the set of all possible output values (y-values). Our Domain & Range Calculator finds both and displays them in interval notation.
How often are new algebra calculators added?
We regularly add new tools based on user feedback and curriculum changes. If you have a suggestion for a calculator you'd like to see, please contact us through our contact page.