Free Math Calculators & Solvers

Slope Calculator

Find the slope between two points, with the rise/run and a graph.

Equation of a Line Calculator

From a slope and a point, or two points, get the slope-intercept, point-slope, and standard form, with a graph.

Standard Form Calculator

Convert a linear equation between slope-intercept (y = mx + b) and standard form (Ax + By = C), with the slope, intercepts and…

Linear Equation Solver

Solve ax + b = cx + d for x with full step-by-step working, and a check that substitutes the answer back in.

System of Equations Calculator

Solve two linear equations for x and y by elimination, with both lines graphed and their intersection marked.

Factoring Calculator

Factor a quadratic trinomial ax² + bx + c into binomials, with the ac-method steps and a graph.

Completing the Square Calculator

Convert ax² + bx + c to vertex form a(x − h)² + k, find the vertex and axis of symmetry, and solve for the roots, with steps.

FOIL Calculator

Multiply two binomials and get the expanded trinomial, with the First, Outer, Inner, Last steps shown and like terms combined.

Polynomial Division Calculator

Divide one polynomial by another to get the quotient and remainder, with the long-division steps and a synthetic-division row for…

Exponent Rules Calculator

Apply the product, quotient, and power rules to powers with the same base, with the result and the steps.

Logarithm Calculator

Compute log base b of x using change of base, plus the common log and natural log, with steps.

Absolute Value Equation Solver

Solve |ax + b| = c for both solutions, with the two cases worked out and the no-solution case handled.

Inequality Calculator

Solve a one-variable linear inequality like 2x + 3 ≤ 11, get the solution in interval notation, and see it graphed on a number…

Function Grapher

Type any function like x^2-3 or sin(x) and see it plotted on a coordinate grid, with a second function and a custom x-range…

Sequence Calculator

Find the nth term and the sum of an arithmetic or geometric sequence from the first term and common difference or ratio, with the…

Summation (Sigma) Calculator

Evaluate a sigma (Σ) series like Σ(2k+1) from k=1 to 10, with the expansion of the first terms and the running total shown.

Complex Number Calculator

Add, subtract, multiply and divide complex numbers, and find the modulus, conjugate and polar form, with the algebra shown.

Matrix Calculator

Add, subtract, multiply, transpose, scale, and find the determinant or inverse of a matrix, with every element computed step by…

Vector Calculator

Add or subtract vectors, find magnitude and direction, compute the dot product and the angle between two vectors, with an arrow…

Set Calculator

Enter two sets to find their union, intersection, difference and symmetric difference, plus subset and disjoint checks.

Cramer’s Rule Calculator

Solve 2×2 and 3×3 systems with determinants — D, Dx, Dy, Dz and the solution, step by step.

Synthetic Division Calculator

Divide a polynomial by (x − c) to get the quotient and remainder, with the full synthetic-division table.

Eigenvalue & Eigenvector Calculator

Find the eigenvalues and eigenvectors of a 2×2 or 3×3 matrix, with the characteristic polynomial.

Partial Fraction Decomposition Calculator

Split a proper rational expression with distinct linear factors into simple fractions (cover-up).

Inverse Function Calculator

Find the inverse of a linear or rational function f(x) = (ax + b)/(cx + d), with a graph over y = x.

Domain & Range Calculator

Get the domain and range of common functions in interval notation, with a graph.

Parabola Calculator

From y = ax² + bx + c get the vertex, focus, directrix, axis of symmetry, and a graph.

Quadratic Inequality Calculator

Solve ax² + bx + c ≷ 0 in interval notation, with the roots and a shaded graph.

Function Composition Calculator

Evaluate (f∘g)(x) = f(g(x)) and (g∘f)(x) at a point, step by step.

Exponential Growth & Decay Calculator

Model A = A₀·e^(kt) or (1 + r)^t with the doubling time or half-life and a graph.

Ellipse Calculator

Center, vertices, co-vertices, foci, eccentricity, and area of an ellipse, with a diagram.

Hyperbola Calculator

Center, vertices, foci, asymptotes, and eccentricity of a hyperbola, with a diagram.

Circle Equation Calculator

Convert x² + y² + Dx + Ey + F = 0 to center-radius form, with a graph.

Equation Solver (Solve for x)

Solve log, exponential, radical, rational, and polynomial equations for x, with a graph.

Compound Inequality Calculator

Solve a ≶ bx + c ≶ d for x, in interval notation with a number line.

Simplify Fractions Calculator

Reduce any fraction to lowest terms using the GCD, with the decimal, percent and mixed-number forms and the steps shown.

Fraction → Decimal → Percent Converter

Turn a fraction, decimal, or percent into the other two forms, with a simplified fraction and the steps.

Mixed Number to Improper Fraction Calculator

Turn 2 3/4 into 11/4 or 11/4 back into 2 3/4, with the steps and the decimal value.

Least Common Denominator Calculator

Find the LCD of two or more fractions and rewrite each with that common denominator, ready to add or subtract.

GCF & LCM Calculator

Enter two or more numbers to get the greatest common factor and least common multiple, with prime-factorization steps.

Prime Factorization Calculator

Enter a whole number to get its prime factorization in exponent form, whether it’s prime, the number of divisors, and all of its…

Factorial Calculator

Compute n! exactly for any whole number, with the full expansion n × (n−1) × … × 1 and the digit count shown.

Long Division Calculator

Enter a dividend and divisor to get the quotient and remainder, shown with the full long-division steps.

Order of Operations Calculator

Evaluate any arithmetic expression in the correct order of operations, with each step shown.

Rounding Calculator

Round a number to a place value, a number of decimal places, or significant figures, with the rule explained.

Significant Figures Calculator

Count the significant figures in any number and round it to a chosen number of sig figs, with the rules explained.

Scientific Notation Converter

Switch any number between standard form and scientific notation (a × 10ⁿ), with the steps shown.

Radical Simplifier

Reduce a square root or nth root to simplest radical form by pulling out the largest perfect power, with the steps and the…

Binary, Decimal & Hexadecimal Converter

Convert a whole number between binary, decimal, hexadecimal and octal, with the positional expansion and repeated-division steps…

Roman Numerals Converter

Turn any number from 1 to 3999 into Roman numerals, or read a Roman numeral back into a number, with a clear place-value…

Scientific Calculator

Type an expression like (3+2/9)^2 or sin(30) and get the exact result, with full order-of-operations handling, functions, powers…

Modular Arithmetic Calculator

Compute a mod m, modular add/subtract/multiply, exponentiation, and the modular inverse.

Fibonacci Calculator

Find the nth Fibonacci number exactly, the sequence, and the golden-ratio connection.

Truth Table Generator

Build the full truth table for any logic expression (AND, OR, NOT, XOR, implies, iff).

Percent Change Calculator

Find the percent of increase or decrease between two values, or the percent error between a measured and an actual value, with…

Ratio & Proportion Calculator

Solve a/b = c/d for the missing value by cross-multiplication, with the simplified ratio and the steps.

Discount, Tax & Tip Calculator

Enter a price and percentages to get the final total, the savings, and each amount, step by step.

Simple & Compound Interest Calculator

Enter principal, rate, and time to get the interest and final amount, with a growth chart and steps.

Weighted Average & GPA Calculator

Combine values with their weights to get the weighted mean, or switch to GPA mode to turn letter grades and credits into a grade…

Circle Calculator

Enter any one of radius, diameter, circumference or area and instantly get the other three, shown both exactly (in terms of π)…

Triangle Calculator

Solve a right triangle from its two legs, or any triangle from its three sides (SSS), to get the missing sides, all angles, area…

Special Right Triangles Calculator

From one side of a 45-45-90 or 30-60-90 triangle, get all sides in exact radical form and decimals, with a diagram.

Area & Perimeter Calculator

Choose a shape, enter its dimensions, and get the area and perimeter (or circumference) with a labeled diagram.

Volume Calculator

Pick a solid (cube, prism, cylinder, sphere, cone, pyramid) and get its volume with a diagram and the formula steps.

Distance & Midpoint Calculator

Enter two points to get the distance (with the formula), the midpoint, and a graph of the segment.

Trigonometry Calculator

Evaluate sin, cos, tan and their reciprocals in degrees or radians, or solve a right triangle’s sides and angle from any two…

Polar ↔ Rectangular Converter

Switch a point between (x, y) and (r, θ) in degrees or radians, with the formulas and a diagram.

Unit Converter

Switch between metric and customary units of length, mass, volume, temperature, time, area and speed, with the conversion shown…

Law of Sines & Cosines Calculator

Solve any triangle (SSS, SAS, ASA, AAS, SSA) with the area, perimeter, and a scaled diagram.

Unit Circle Calculator

Exact sin, cos, tan for any angle, with the quadrant, reference angle, and an interactive circle.

Arc Length & Sector Area Calculator

Arc length, sector area, chord, and perimeter from a radius and central angle.

Reference & Coterminal Angle Calculator

Find the reference angle, quadrant, and coterminal angles for any angle.

Inverse Trig Calculator

Evaluate arcsin, arccos, and arctan in degrees and radians, with the principal range.

Surface Area Calculator

Surface area of a cube, prism, cylinder, sphere, cone, or pyramid — plus the volume.

Heron’s Formula Calculator

Find a triangle’s area from its three sides, with the semi-perimeter and a diagram.

Degrees ↔ Radians Converter

Convert angles between degrees and radians both ways, with the exact value in π.

Descriptive Statistics Calculator

Paste a data set to get mean, median, mode, range, variance, standard deviation, quartiles and IQR, with a box plot.

Standard Deviation Calculator

Enter a data set for the population and sample standard deviation, variance, and mean, with steps and a dot plot.

Probability Calculator

Find the probability of a single event, or combine two independent events (and / or / neither), with the steps.

Permutations & Combinations Calculator

Enter n and r to get nPr and nCr with the factorial formulas worked out.

Binomial Probability Calculator

Find P(X = k) and the cumulative probabilities for n trials with success probability p, plus the mean, variance and SD.

Linear Regression Calculator

Paste your (x, y) data to get the least-squares line of best fit y = mx + b, the correlation coefficient r and r², and a scatter…

Z-Score & Normal Distribution Calculator

Find the z-score of a value and the normal-distribution probabilities P(Xx) from the mean and standard deviation…

Confidence Interval Calculator

Build a z-based confidence interval for a population mean from the sample mean, standard deviation, sample size and confidence…

Chi-Square Calculator

Run a goodness-of-fit test from observed and expected counts to get the chi-square statistic, degrees of freedom and p-value…

Percentile Calculator

Find the k-th percentile of a data set, or the percentile rank of a value.

P-value Calculator

Convert a z, t, or chi-square statistic to a p-value, one- or two-tailed.

Poisson Distribution Calculator

P(X = k) and cumulative probabilities for a mean λ, with the mean, variance, and a chart.

Confidence Interval for a Proportion

Estimate a population proportion: p̂ ± z·SE, with the margin of error and z*.

Geometric Distribution Calculator

P(X = k) for the trial of the first success, with the mean, variance, and a chart.

Expected Value Calculator

Compute E(X) = Σ x·P(x) from a distribution, with the variance and standard deviation.

Derivative Calculator

Differentiate a polynomial with the power rule and see each step, or take the numeric derivative of any function at a point.

Integral Calculator

Find the antiderivative of a polynomial with the power rule, evaluate a definite integral with the Fundamental Theorem, or…

Limit Calculator

Estimate limits at a point or infinity, one- or two-sided, with a table of approaching values.

Riemann Sum Calculator

Approximate a definite integral with left, right, midpoint, or trapezoidal sums.

Taylor & Maclaurin Series Calculator

Expand a function about any center to a chosen order, with a comparison graph.

Tangent Line Calculator

Find the line tangent to a function at a point — slope, equation, and graph.

Average Rate of Change Calculator

Find the average rate of change of a function over an interval (the secant slope).

Difference Quotient Calculator

Compute [f(x+h) − f(x)]/h and watch it approach the derivative as h → 0.

Critical Points & Extrema Calculator

Find where f′(x) = 0 and classify maxima, minima, and saddle points.

Newton’s Method Calculator

Approximate a root from a starting guess, with the full iteration table and a graph.

Simpson’s Rule Calculator

Approximate a definite integral with parabolic strips, with the error and a graph.

Math Worksheet Generator

Build a printable worksheet and answer key for any skill, then print or save as PDF.