Algebra 1
High school · 4 topic explainersLinear equations and inequalities, slope, systems, exponents, polynomials and an introduction to quadratics.
Algebra Calculators
Algebra is about finding unknowns and describing relationships with equations. These calculators isolate variables, solve polynomial equations exactly and work with points and lines in the coordinate plane.
Calculators
Solve for X Calculator
Isolate x, or any other letter, and see the inverse operation used at each step.
Equation Solver
One input for equations and expressions: it detects the type and applies the right method.
Quadratic Equation Calculator
Enter a, b and c to get exact roots, the discriminant, the vertex and the factored form.
Factoring Calculator
Enter a polynomial and get its complete factorization over the rational numbers, with the method used at every stage explained.
Systems of Equations Calculator
Enter one linear equation per line and get the exact solution, every elimination step, and a clear verdict when a system has no solution or infinitely many.
Absolute Value Equation Calculator
Solve equations and inequalities of the form |ax + b| = c, < c, ≤ c, > c or ≥ c. Each case split is shown, answers stay exact, and the solution set is written in interval notation.
Inequality Calculator
Enter an inequality and get its solution set in interval notation, with the critical points, a sign chart and the reasoning for every endpoint.
Simplify Calculator
Enter an algebraic or numeric expression and get its simplest exact form, with each distribution, expansion and combination of like terms shown.
Exponent Calculator
Raise a number to any rational power exactly, or simplify an expression like (2x³y)² / (4x⁻¹y⁵) using the laws of exponents, with each rule named as it is applied.
Complete the Square Calculator
Enter a quadratic expression or equation to rewrite it in vertex form , read off the vertex, and solve it exactly by completing the square.
Slope Calculator
Enter two points to get the slope as an exact fraction and the equation of the line through them.
Distance Formula Calculator
Find the straight-line distance between two points as an exact radical and a decimal.
Topics covered
- Linear equations
- Inverse operations, distributing and collecting like terms.
- Quadratic and polynomial equations
- Factoring, the quadratic formula, the discriminant and the rational root theorem.
- Coordinate geometry
- Slope, line equations, distance and midpoint.
How to choose the right algebra calculator
If your problem contains a single unknown and an equals sign, start with the solve-for-x or equation solver: it recognizes linear, quadratic, polynomial and rational equations and picks the method automatically. Use the quadratic calculator when you want to see the discriminant and both the factoring and formula routes, and the systems calculator when two or three equations share the same unknowns. Inequalities, absolute values and exponent rules each have their own tool because the rules for them differ from ordinary equations.
For graphs and coordinates, the slope and distance calculators take two points and return exact values, including the equation of the line through them and the midpoint of the segment.
What every solution shows
Each step names the operation used, such as subtracting the same term from both sides, factoring out a common factor or applying the quadratic formula, and the final answer is substituted back into the original equation to confirm it. Solutions that would divide by zero or take the square root of a negative number are flagged and excluded, so you see why an apparent answer is rejected.
Exact forms such as are kept, with a decimal approximation alongside, so your answer can be written in the form your teacher asks for.
Courses and topics
Topic explainers with worked examples, common mistakes and practice questions in Algebra.
Algebra 2
High school · 2 topic explainersQuadratics, complex roots, rational and radical expressions, exponentials and logarithms.
Guides
- How to Solve Quadratic Equations: Factoring, Completing the Square and the Formula
Factoring is fastest when it works, completing the square explains where the formula comes from, and the quadratic formula always works. Here is how to choose, with every example checked.
- How to Check Your Math Homework and Answers
Almost every math answer can be checked without the answer key. Substituting back, working in reverse, estimating, testing special values and checking units catch the large majority of errors in a fraction of the time the original work took.