Algebra
Algebra is the language of relationships and unknowns — the part of mathematics that turns words and patterns into equations and back. This page gathers every algebra tool on Calxsolver, from simple expression evaluation to systems of equations and sequences, each with the full working shown.
Most algebra problems share the same shape: a quantity you do not yet know, hidden inside an equation that says something is equal to something else. The job is to peel back the operations one at a time, in the right order, until the unknown sits alone on one side. Every solver here does exactly that — only it shows you the peeling, instead of jumping straight to the answer.
Linear equations and systems
A linear equation has the unknown to the first power. Solve one in mx + b = c form, or two together with the System of Equations solver, which uses Cramer's rule to handle the case D = 0 cleanly.
Quadratic equations and the discriminant
When the unknown appears squared, the discriminant Δ = b² − 4ac tells you whether the roots are real or complex before you start computing them. The quadratic solver reports the vertex and axis of symmetry too.
Lines and points
From two points, the Slope & Line tool finds the slope, intercept and full line equation; the Distance & Midpoint tool gives the distance and the midpoint with the Pythagorean formula.
Sequences and logarithms
Arithmetic and geometric sequences each have a closed-form nth term and partial sum. The Logarithm Calculator solves any logₐ(x) by change-of-base ln(x)/ln(a).
All solvers
Frequently asked questions
What is algebra in one sentence?
Algebra is arithmetic with placeholders — using letters for unknown numbers so that general relationships can be stated and solved.
Where do I start as a beginner?
Start with the Expression Calculator to get comfortable with the order of operations, then move to Linear Equations, and only after that to Quadratics.
Do these solvers replace learning?
They are study aides — every tool shows the full method, so you can compare your own working against it and find where a step went wrong.