Algebra calculators

50 free algebra calculators with step-by-step solutions.

• Equation solver— Solve linear, quadratic, cubic, radical, exponential equations
• Quadratic formula— Solve ax² + bx + c = 0 using the quadratic formula
• Inequality solver— Solve linear and polynomial inequalities
• Systems of equations— Solve 2 and 3 variable systems
• Discriminant— Calculate Δ = b²−4ac to determine roots
• Word problems— Age, rate, mixture, coin, and other word problems
• Literal equation— Solve a formula for any variable
• Trig equation— Solve sin(x)=½, cos(2x)=0, etc.
• Test a solution— Verify if a value satisfies an equation

• Factoring— Factor polynomials and trinomials completely
• Expand— Expand and distribute algebraic expressions
• Simplify— Simplify algebraic expressions and radicals
• Partial fractions— Decompose rational expressions
• Complete the square— Rewrite quadratics in vertex form
• Rationalize denominator— Remove radicals from denominators

• Find roots— All real and complex roots
• Polynomial division— Long and synthetic division
• Remainder theorem— Find remainder when dividing by (x−c)
• Vertex calculator— Find vertex and vertex form
• Add polynomials— Add two polynomials, combine like terms
• Multiply polynomials— FOIL and distribution
• Polynomial degree— Find degree and leading coefficient
• Rational zeros— Find rational roots using p/q theorem
• Sum of roots (Vieta's)— Sum from coefficients: −b/a
• Product of roots (Vieta's)— Product from coefficients: c/a
• End behavior— Behavior at x→±∞ from degree and leading coefficient

• Domain & range— Find domain and range of any function
• Inverse function— Find the inverse f⁻¹(x)
• Composition (f∘g)— Find f(g(x))
• Evaluate f(a)— Substitute a value and simplify
• Even/odd function— Check symmetry: f(−x) = f(x) or −f(x)?
• Asymptotes— Vertical, horizontal, oblique asymptotes
• X & Y intercepts— Where the graph crosses the axes
• Transformations— Shifts, stretches, reflections
• Logarithm— Evaluate log, ln, and log base n
• Complex arithmetic— Add, multiply, divide complex numbers

• Line from two points— Find equation from (x₁,y₁) and (x₂,y₂)
• Point-slope form— y−y₁ = m(x−x₁) from point and slope
• Standard form— Convert to Ax + By = C
• Parallel line— Line parallel through a given point
• Perpendicular line— Line perpendicular through a given point

• Conjugate— Find z̄ = a − bi
• Modulus |z|— Distance from origin: √(a²+b²)
• Polar form— Convert a+bi to r∠θ

• Sequence calculator— Detect patterns, find nth term
• Summation (Σ)— Evaluate sigma notation
• Arithmetic series sum— Sum of arithmetic sequence

• Cartesian → Polar— (x,y) to (r,θ)
• Polar → Cartesian— (r,θ) to (x,y)
• Modular inverse— Find a⁻¹ mod m