Algebra Calculators
Algebra is where letters start to stand in for numbers, and where most of the marks are for the method rather than the final answer. The main calculators here are built around that: they give the result and then walk through the steps a teacher would expect to see.
The quadratic formula calculator solves any equation of the form ax² + bx + c = 0. It works out the discriminant first, tells you what kind of solutions to expect, gives exact answers such as −1 ± √3 where they exist, handles complex roots and draws the parabola. The slope calculator takes two points and returns the slope as a fraction and a decimal together with the equation of the line. The exponent calculator covers positive, zero, negative and fractional powers and explains which rule it used.
Three coordinate tools belong together: slope, midpoint and distance between two points all start from the same pair of points. For sequences and series there are calculators for geometric sequences, Fibonacci numbers, sigma notation and series that approximate π. The vector tools handle dot products, cross products, general vector arithmetic and conversion between Cartesian, cylindrical and spherical coordinates.
All algebra calculators
- Average Rate of Change CalculatorAverage rate of change of f(x) between two x-values.
- Distance Between Two Points CalculatorDistance between two points with the distance formula.
- Dot Product CalculatorThe dot (scalar) product of two vectors.
- Exponent CalculatorPositive, zero, negative and fractional powers, with the rule used at each step.
- Fibonacci CalculatorThe nth Fibonacci number and the sequence up to it.
- Geometric Sequence CalculatorTerms, nth term and sum of a geometric sequence.
- Midpoint CalculatorThe point halfway between two points.
- Pi CalculatorApproximate π with four classic series.
- Quadratic Formula CalculatorSolve ax² + bx + c = 0: discriminant, real or complex roots, vertex and graph, step by step.
- Sigma Notation CalculatorEvaluate a Σ summation and see every term.
- Slope CalculatorSlope from two points, with rise, run and the equation of the line, step by step.
- Vector CalculatorVector addition, subtraction, dot and cross products, magnitude and angle.
- Vector Coordinate ConverterCartesian, cylindrical and spherical coordinates, converted both ways.
- Vector Cross Product CalculatorThe cross product A × B of two 3D vectors, step by step.