Algebra Calculators

Algebra Calculator — Solve Equations & Simplify

Solve ax + b = c, simplify √n, or evaluate |x| with step-by-step solutions.

Linear Equation Solver — ax + b = cx + d

Enter a, b, c, d to solve ax + b = cx + d. Shows every step: rearrange, combine, divide.

Systems of Equations Solver — 2×2

Enter the six coefficients for two equations with two unknowns. Get x and y — or learn if the lines are parallel or identical.

Inequality Solver — ax + b < c (One Variable)

Enter a, b, c and choose the inequality direction to solve ax + b op c for x.

Matrix Calculator — 2×2 Determinant, Inverse & Multiply

Enter a 2×2 matrix to find its determinant, trace, and inverse — or multiply two matrices.

Distance Formula Calculator — Points on a Plane

Enter (x₁, y₁) and (x₂, y₂) to calculate distance, midpoint, and deltas.

Midpoint Calculator — Find the Midpoint of Two Points

Enter two points to find their midpoint (average x, average y) and the distance between them.

Polynomial Calculator — Evaluate ax³ + bx² + cx + d

Enter a, b, c, d, and x to calculate f(x) = ax³ + bx² + cx + d at your chosen x.

2D Vector Calculator — Add, Dot Product & Angle

Enter two 2D vectors to compute dot product, magnitudes, angle between them, sum, difference, and cross magnitude.

Complex Number Calculator — Add, Multiply & Divide

Enter two complex numbers to compute all four arithmetic operations, modulus, argument, and conjugate.

Completing the Square Calculator — Vertex Form

Enter a, b, c to convert ax² + bx + c to vertex form and find the vertex.