Free AI Algebra Solver

Algebra forms the foundation of every math course you will take from middle school through college. Our free AI algebra solver handles everything from basic one-step equations to complex systems with multiple variables. Upload a photo or type your equation and get a complete step-by-step solution in seconds.

Linear Equations and Inequalities

The solver handles one-variable and multi-variable linear equations, showing each isolation step clearly. It demonstrates proper handling of negative signs, fractions, and decimal coefficients. For inequalities, the solver correctly flips the inequality sign when multiplying or dividing by a negative number and expresses solutions in interval notation.

Systems of linear equations are solved using substitution, elimination, and matrix methods. The AI selects the most efficient approach based on the structure of the system and explains why that method was chosen. Systems with two, three, or more variables are all supported.

Quadratic Equations

Quadratic equations appear constantly in Algebra I, Algebra II, and standardized tests like the SAT. The solver demonstrates factoring, completing the square, and the quadratic formula. It identifies the discriminant, determines the number and type of solutions (real or complex), and graphs the parabola's key features including vertex, axis of symmetry, and intercepts.

When a quadratic can be factored, the solver shows the factoring process first as it is the preferred method on most tests. When factoring is not practical, it seamlessly switches to the quadratic formula with clear substitution steps.

Polynomial Operations and Factoring

The AI handles polynomial addition, subtraction, multiplication, and long division. For factoring, it applies greatest common factor extraction, grouping, difference of squares, sum and difference of cubes, and general trinomial factoring. Each technique is labeled so you know which method applies to different polynomial structures.

Rational Expressions

Simplifying, multiplying, dividing, adding, and subtracting rational expressions requires careful factoring and attention to domain restrictions. The solver identifies excluded values, finds common denominators, and simplifies completely. It also solves rational equations and checks for extraneous solutions.

Exponents and Logarithms

Exponential and logarithmic equations are solved with clear application of logarithmic properties including the product rule, quotient rule, power rule, and change of base formula. The solver handles natural logarithms, common logarithms, and logarithms with arbitrary bases. Exponential growth and decay word problems are also supported.

Functions and Graphing

The solver analyzes functions for domain, range, intercepts, symmetry, and transformations. It composes and decomposes functions, finds inverses, and identifies parent functions. This covers the function analysis skills tested in Algebra II and pre-calculus courses.

Why Algebra Matters

Every higher math course assumes algebra fluency. Struggling with algebra makes calculus, statistics, and geometry significantly harder. Use our AI solver to identify and fill gaps in your algebra knowledge before they compound into bigger problems.