Interactive mathematics suite

Free math calculators with formulas you can follow

AllMath is a growing collection of interactive math and science calculators that show the formulas, substitutions, and steps behind every answer—from pre-algebra and calculus to chemistry, physics, unit conversions, and beyond.

Enter values directly into familiar formulas, choose the precision you need, and see both the answer and the working—free, with no account required.

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a² + b²f(x)
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Explore topic 01

Algebra & Equations

Solve equations, work with quadratics, factor expressions, and explore functions and proportions.

  1. Algebra & Equations

    Completing the Square

    Rewrite a quadratic in vertex form.

    ax² + bx + c = a(x − h)² + k

    Open calculator
  2. Algebra & Equations

    Direct / Inverse Variation

    Find a variation constant or an unknown.

    Direct: y = kx; inverse: y = k/x

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  3. Algebra & Equations

    Solutions & Discriminant

    Classify the roots of a quadratic.

    D = b² − 4ac

    Open calculator
  4. Algebra & Equations

    Fraction Equation Solver

    Solve a linear equation with fractional coefficients.

    (ax + b) / m = (cx + d) / n

    Open calculator
  5. Algebra & Equations

    Quadratic Formula

    Find real or complex quadratic roots.

    x = (−b ± √(b² − 4ac)) / 2a

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  6. Algebra & Equations

    Vertex Finder

    Find the vertex of a parabola.

    h = −b / 2a; k = f(h)

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  7. Algebra & Equations

    Y-Intercept Finder

    Find b from a line or point and slope.

    Ax + By + C = 0; y-intercept = −C / B

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  8. Algebra & Equations

    Binomial Expander

    Expand a binomial with Pascal coefficients.

    (a + b)ⁿ = Σ C(n,k)aⁿ⁻ᵏbᵏ

    Open calculator
  9. Algebra & Equations

    Evaluate f(x)

    Safely substitute into an algebraic function.

    f(x) → f(value)

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  10. Algebra & Equations

    Proportions Solver

    Solve one unknown in a/b = c/d.

    a / b = c / d ⇒ ad = bc

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  11. Algebra & Equations

    2-Variable Linear System

    Classify and solve a 2×2 system.

    ax + by = c; dx + ey = f

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  12. Algebra & Equations

    Cramer's Rule Solver

    Solve a 2×2 system by determinants.

    x = Dₓ / D; y = Dᵧ / D

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  13. Algebra & Equations

    General Equation Solver

    Solve linear and quadratic polynomial equations.

    ax² + bx + c = 0

    Open calculator
  14. Algebra & Equations

    Factoring Solver

    Factor integer quadratic expressions.

    ax² + bx + c = a(x − r₁)(x − r₂)

    Open calculator
  15. Algebra & Equations

    Point-Slope to Slope-Intercept

    Convert line equation forms.

    y − y₁ = m(x − x₁)

    Open calculator
  16. Algebra & Equations

    3-Variable System Solver

    Gaussian elimination for a 3×3 system.

    [A | b] → RREF([A | b])

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  17. Algebra & Equations

    Stored Function → Y-Intercept

    Evaluate the current function at x=0.

    y-intercept = (0, f(0))

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  18. Algebra & Equations

    Three Points → Parabola

    Fit y=ax²+bx+c through three points.

    y = ax² + bx + c

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  19. Algebra & Equations

    Graphing Inequalities Helper

    Boundary style and shading guidance.

    Ax + By ≶ C

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  20. Algebra & Equations

    Logarithms — Base b

    Evaluate log base b.

    logₑ(x) = ln(x) / ln(b)

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Explore topic 02

Coordinate Geometry

Calculate slopes, midpoints, line equations, and distances on two- and three-dimensional coordinate planes.

  1. Coordinate Geometry

    Midpoint Formula

    Find the midpoint of two 2D points.

    M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

    Open calculator
  2. Coordinate Geometry

    Slope Finder

    Find slope from two points.

    m = (y₂ − y₁) / (x₂ − x₁)

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  3. Coordinate Geometry

    Distance of Two Points

    Find 2D distance.

    d = √((x₂ − x₁)² + (y₂ − y₁)²)

    Open calculator
  4. Coordinate Geometry

    Point-to-Line Distance

    Distance from a point to Ax+By+C=0.

    d = |Ax₀ + By₀ + C| / √(A² + B²)

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  5. Coordinate Geometry

    Circle Equation Maker

    Build a circle equation from center and radius.

    (x − h)² + (y − k)² = r²

    Open calculator
  6. Coordinate Geometry

    Point and Circle

    Classify a point as inside, on, or outside.

    (x − h)² + (y − k)² compared with r²

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  7. Coordinate Geometry

    Graph Horizontal Offset

    Rewrite y=f(x−h)+k and explain its graph shift.

    y = f(x − h) + k

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  8. Coordinate Geometry

    3D Distance Formula

    Distance between two 3D points.

    d = √((Δx)² + (Δy)² + (Δz)²)

    Open calculator
  9. Coordinate Geometry

    Test for Collinear Points

    Use a cross product to test three points.

    (x₂−x₁)(y₃−y₁) − (y₂−y₁)(x₃−x₁) = 0

    Open calculator
  10. Coordinate Geometry

    3D Midpoint Finder

    Midpoint between two 3D points.

    M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

    Open calculator
  11. Coordinate Geometry

    Sphere Equation Maker

    Build a sphere equation.

    (x−h)² + (y−k)² + (z−ℓ)² = r²

    Open calculator
  12. Coordinate Geometry

    Two Points → Line Equation

    Create line equations from two points.

    m = (y₂−y₁)/(x₂−x₁); y−y₁=m(x−x₁)

    Open calculator
  13. Coordinate Geometry

    Distance of Parallel Lines

    Distance between parallel standard-form lines.

    d = |C₂ − C₁| / √(A² + B²)

    Open calculator

Explore topic 03

Geometry & Measurement

Measure triangles, circles, polygons, and solids with their standard geometric formulas.

  1. Geometry & Measurement

    Pythagorean Theorem

    Solve for a missing side of a right triangle.

    a² + b² = c²

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  2. Geometry & Measurement

    Area Calculators

    Areas of common plane shapes.

    A = length × width, πr², or bh / 2

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  3. Geometry & Measurement

    Volume Calculators

    Volumes of common solids.

    V = Bh

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  4. Geometry & Measurement

    Surface Area Calculators

    Surface areas of common solids.

    SA = sum of every exterior face area

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  5. Geometry & Measurement

    Circumference Calculator

    Circumference from radius or diameter.

    C = 2πr = πd

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  6. Geometry & Measurement

    Law of Sines / Cosines

    Solve standard triangle cases.

    c² = a² + b² − 2ab cos C

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  7. Geometry & Measurement

    Lateral Area Calculator

    Lateral areas of common solids.

    LA = perimeter × height (or slant height)

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  8. Geometry & Measurement

    Apothem Finder

    Find a regular polygon apothem.

    a = s / (2 tan(π/n))

    Open calculator
  9. Geometry & Measurement

    Frustums Calculator

    Conical and pyramidal frustum measurements.

    V = πh(R² + Rr + r²) / 3

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  10. Geometry & Measurement

    All About Conics

    Properties of standard-form conic sections.

    Circle, ellipse, parabola, and hyperbola standard forms

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Explore topic 04

Sequences & Number Theory

Investigate patterns, finite and infinite series, prime numbers, modular arithmetic, and scientific notation.

  1. Sequences & Number Theory

    Infinite Sequence Sum

    Sum a convergent geometric series.

    S∞ = a / (1 − r)

    Open calculator
  2. Sequences & Number Theory

    Sequences

    Arithmetic and geometric terms and sums.

    aₙ = a₁ + (n − 1)d or a₁rⁿ⁻¹

    Open calculator
  3. Sequences & Number Theory

    Prime Number Tester

    Test an integer efficiently for primality.

    n is prime when its only positive factors are 1 and n

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  4. Sequences & Number Theory

    Modulo and Remainder

    Find the Euclidean quotient and nonnegative remainder.

    a = bq + r, 0 ≤ r < b

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  5. Sequences & Number Theory

    Scientific Notation Converter

    Convert scientific and ordinary notation.

    N = a × 10ⁿ, 1 ≤ |a| < 10

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  6. Sequences & Number Theory

    Sum of a Series

    Arithmetic, geometric, infinite, or explicit sums.

    Sₙ = Σaₖ

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  7. Sequences & Number Theory

    Simplifying Square Roots

    Reduce radicals to exact simplest form.

    √n = a√b

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  8. Sequences & Number Theory

    Fibonacci Sequence

    Generate Fibonacci terms and find an exact nth term.

    Fₙ = Fₙ₋₁ + Fₙ₋₂

    Open calculator
  9. Sequences & Number Theory

    Pythagorean Triples

    Test or generate integer right-triangle triples.

    a² + b² = c²

    Open calculator
  10. Sequences & Number Theory

    Iteration Calculator

    Apply a safely parsed recurrence to a starting value.

    xₙ₊₁ = f(xₙ)

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Explore topic 05

Data, Trigonometry & Vectors

Analyze data and matrices, evaluate trigonometric relationships, and calculate with vectors.

  1. Data, Trigonometry & Vectors

    Mean / Median Finder

    Descriptive statistics for a data list.

    x̄ = Σx / n

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  2. Data, Trigonometry & Vectors

    Matrix Determinant & Inverse

    Work with 2×2 or 3×3 matrices.

    A⁻¹ = adj(A) / det(A)

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  3. Data, Trigonometry & Vectors

    Linear Regression

    Regression line, r, and r².

    ŷ = mx + b

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  4. Data, Trigonometry & Vectors

    Trig & Unit Circle

    Evaluate six trigonometric functions.

    sin θ, cos θ, tan θ and their reciprocals

    Open calculator
  5. Data, Trigonometry & Vectors

    Geometric Mean

    Geometric mean of positive values.

    GM = (x₁x₂⋯xₙ)¹⁄ⁿ

    Open calculator
  6. Data, Trigonometry & Vectors

    Vector Magnitude & Direction

    Magnitude and atan2 direction of a vector.

    |v| = √(x² + y²); θ = atan2(y,x)

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  7. Data, Trigonometry & Vectors

    Vector Addition

    Add multiple 2D or 3D vectors.

    ⟨x₁,y₁⟩ + ⟨x₂,y₂⟩ = ⟨x₁+x₂,y₁+y₂⟩

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  8. Data, Trigonometry & Vectors

    DMS Angle Converter

    Convert between decimal degrees and degrees, minutes, seconds.

    decimal = degrees + minutes / 60 + seconds / 3600

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  9. Data, Trigonometry & Vectors

    3×3 Cramer's Rule

    Solve three linear equations and display every determinant.

    x = Dₓ/D; y = Dᵧ/D; z = D_z/D

    Open calculator

Explore topic 06

Measurement & Unit Conversions

Convert everyday and scientific measurements with explicit source and target units.

  1. Measurement & Unit Conversions

    Length

    Convert between common length units with a visible conversion factor.

    target value = source value × conversion factor

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  2. Measurement & Unit Conversions

    Area

    Convert between common area units with a visible conversion factor.

    target value = source value × conversion factor

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  3. Measurement & Unit Conversions

    Volume

    Convert between common volume units with a visible conversion factor.

    target value = source value × conversion factor

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  4. Measurement & Unit Conversions

    Mass

    Convert between common mass units with a visible conversion factor.

    target value = source value × conversion factor

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  5. Measurement & Unit Conversions

    Time

    Convert between common time units with a visible conversion factor.

    target value = source value × conversion factor

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  6. Measurement & Unit Conversions

    Speed

    Convert between common speed units with a visible conversion factor.

    target value = source value × conversion factor

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  7. Measurement & Unit Conversions

    Acceleration

    Convert between common acceleration units with a visible conversion factor.

    target value = source value × conversion factor

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  8. Measurement & Unit Conversions

    Angle

    Convert between common angle units with a visible conversion factor.

    target value = source value × conversion factor

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  9. Measurement & Unit Conversions

    Temperature

    Convert between common temperature units with a visible conversion factor.

    target value = source value × conversion factor

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  10. Measurement & Unit Conversions

    Force

    Convert between common force units with a visible conversion factor.

    target value = source value × conversion factor

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  11. Measurement & Unit Conversions

    Pressure

    Convert between common pressure units with a visible conversion factor.

    target value = source value × conversion factor

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  12. Measurement & Unit Conversions

    Energy

    Convert between common energy units with a visible conversion factor.

    target value = source value × conversion factor

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  13. Measurement & Unit Conversions

    Power

    Convert between common power units with a visible conversion factor.

    target value = source value × conversion factor

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  14. Measurement & Unit Conversions

    Torque

    Convert between common torque units with a visible conversion factor.

    target value = source value × conversion factor

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  15. Measurement & Unit Conversions

    Density

    Convert between common density units with a visible conversion factor.

    target value = source value × conversion factor

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  16. Measurement & Unit Conversions

    Frequency

    Convert between common frequency units with a visible conversion factor.

    target value = source value × conversion factor

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  17. Measurement & Unit Conversions

    Electric Current

    Convert between common electric current units with a visible conversion factor.

    target value = source value × conversion factor

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  18. Measurement & Unit Conversions

    Voltage

    Convert between common voltage units with a visible conversion factor.

    target value = source value × conversion factor

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  19. Measurement & Unit Conversions

    Resistance

    Convert between common resistance units with a visible conversion factor.

    target value = source value × conversion factor

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  20. Measurement & Unit Conversions

    Charge

    Convert between common charge units with a visible conversion factor.

    target value = source value × conversion factor

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  21. Measurement & Unit Conversions

    Capacitance

    Convert between common capacitance units with a visible conversion factor.

    target value = source value × conversion factor

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  22. Measurement & Unit Conversions

    Data Storage

    Convert between common data storage units with a visible conversion factor.

    target value = source value × conversion factor

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  23. Measurement & Unit Conversions

    Fuel Economy

    Convert between common fuel economy units with a visible conversion factor.

    target value = source value × conversion factor

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  24. Measurement & Unit Conversions

    Flow Rate

    Convert between common flow rate units with a visible conversion factor.

    target value = source value × conversion factor

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  25. Measurement & Unit Conversions

    Cooking Measurements

    Convert between common cooking measurements units with a visible conversion factor.

    target value = source value × conversion factor

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Explore topic 07

Chemistry

Solve foundational chemistry relationships with formulas, validation, and shown work.

  1. Chemistry

    Chemical Equation Balancing

    Calculate chemical equation balancing with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  2. Chemistry

    Moles, Mass, and Molar Mass

    Calculate moles, mass, and molar mass with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  3. Chemistry

    Particles and Avogadro’s Number

    Calculate particles and avogadro’s number with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  4. Chemistry

    Percent Composition

    Calculate percent composition with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  5. Chemistry

    Empirical Formula

    Calculate empirical formula with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  6. Chemistry

    Molecular Formula

    Calculate molecular formula with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  7. Chemistry

    Molarity

    Calculate molarity with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  8. Chemistry

    Molality

    Calculate molality with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  9. Chemistry

    Dilution

    Calculate dilution with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  10. Chemistry

    Stoichiometry

    Calculate stoichiometry with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  11. Chemistry

    Limiting Reactant

    Calculate limiting reactant with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  12. Chemistry

    Theoretical Yield

    Calculate theoretical yield with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  13. Chemistry

    Percent Yield

    Calculate percent yield with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  14. Chemistry

    Chemistry Density

    Calculate chemistry density with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  15. Chemistry

    Ideal Gas Law

    Calculate ideal gas law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  16. Chemistry

    Combined Gas Law

    Calculate combined gas law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  17. Chemistry

    Boyle’s Law

    Calculate boyle’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  18. Chemistry

    Charles’s Law

    Calculate charles’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  19. Chemistry

    Gay-Lussac’s Law

    Calculate gay-lussac’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  20. Chemistry

    Dalton’s Law

    Calculate dalton’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  21. Chemistry

    Specific Heat and Calorimetry

    Calculate specific heat and calorimetry with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  22. Chemistry

    Phase-Change Heat

    Calculate phase-change heat with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  23. Chemistry

    pH and pOH

    Calculate ph and poh with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  24. Chemistry

    Henderson-Hasselbalch Equation

    Calculate henderson-hasselbalch equation with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  25. Chemistry

    Beer-Lambert Law

    Calculate beer-lambert law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  26. Chemistry

    First-Order Reaction Rate

    Calculate first-order reaction rate with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  27. Chemistry

    Chemistry Half-Life

    Calculate chemistry half-life with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  28. Chemistry

    Arrhenius Equation

    Calculate arrhenius equation with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  29. Chemistry

    Radioactive Decay

    Calculate radioactive decay with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  30. Chemistry

    Nernst Equation

    Calculate nernst equation with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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Explore topic 08

Physics

Explore mechanics, waves, optics, electricity, thermodynamics, and modern physics.

  1. Physics

    Velocity and Acceleration

    Calculate velocity and acceleration with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  2. Physics

    Constant-Acceleration Kinematics

    Calculate constant-acceleration kinematics with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  3. Physics

    Projectile Motion

    Calculate projectile motion with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  4. Physics

    Newton’s Second Law

    Calculate newton’s second law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  5. Physics

    Weight

    Calculate weight with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  6. Physics

    Friction

    Calculate friction with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  7. Physics

    Hooke’s Law

    Calculate hooke’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  8. Physics

    Centripetal Motion

    Calculate centripetal motion with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  9. Physics

    Physics Work

    Calculate physics work with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  10. Physics

    Kinetic and Potential Energy

    Calculate kinetic and potential energy with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  11. Physics

    Physics Power

    Calculate physics power with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  12. Physics

    Efficiency

    Calculate efficiency with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  13. Physics

    Momentum

    Calculate momentum with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  14. Physics

    Impulse

    Calculate impulse with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  15. Physics

    Collisions

    Calculate collisions with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  16. Physics

    Angular Velocity and Acceleration

    Calculate angular velocity and acceleration with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  17. Physics

    Physics Torque

    Calculate physics torque with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  18. Physics

    Rotational Energy

    Calculate rotational energy with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  19. Physics

    Angular Momentum

    Calculate angular momentum with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  20. Physics

    Gravitation

    Calculate gravitation with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  21. Physics

    Orbital Velocity and Period

    Calculate orbital velocity and period with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  22. Physics

    Escape Velocity

    Calculate escape velocity with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  23. Physics

    Wave Speed

    Calculate wave speed with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  24. Physics

    Frequency and Period

    Calculate frequency and period with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  25. Physics

    Simple Harmonic Motion

    Calculate simple harmonic motion with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  26. Physics

    Pendulum Period

    Calculate pendulum period with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  27. Physics

    Sound Intensity and Decibels

    Calculate sound intensity and decibels with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  28. Physics

    Snell’s Law

    Calculate snell’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  29. Physics

    Lens and Mirror Equations

    Calculate lens and mirror equations with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  30. Physics

    Magnification

    Calculate magnification with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  31. Physics

    Ohm’s Law

    Calculate ohm’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  32. Physics

    Electric Power

    Calculate electric power with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  33. Physics

    Series and Parallel Resistance

    Calculate series and parallel resistance with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  34. Physics

    Physics Capacitance

    Calculate physics capacitance with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  35. Physics

    RC Charging and Discharging

    Calculate rc charging and discharging with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  36. Physics

    Coulomb’s Law

    Calculate coulomb’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  37. Physics

    Electric Field and Potential

    Calculate electric field and potential with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  38. Physics

    Magnetic Force

    Calculate magnetic force with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

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  39. Physics

    Faraday’s Law

    Calculate faraday’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  40. Physics

    Transformer Ratios

    Calculate transformer ratios with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  41. Physics

    Thermodynamics

    Calculate thermodynamics with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  42. Physics

    Thermal Expansion

    Calculate thermal expansion with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  43. Physics

    Relativity

    Calculate relativity with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  44. Physics

    Photon Energy

    Calculate photon energy with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  45. Physics

    de Broglie Wavelength

    Calculate de broglie wavelength with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  46. Physics

    Photoelectric Effect

    Calculate photoelectric effect with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator

Explore topic 09

Astronomy & Earth Science

Calculate astronomical distances, stellar properties, geodesy, earthquakes, and atmospheric pressure.

  1. Astronomy & Earth Science

    Light-Travel Distance

    Calculate light-travel distance with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  2. Astronomy & Earth Science

    Parallax Distance

    Calculate parallax distance with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  3. Astronomy & Earth Science

    Distance Modulus

    Calculate distance modulus with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  4. Astronomy & Earth Science

    Luminosity and Flux

    Calculate luminosity and flux with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  5. Astronomy & Earth Science

    Wien’s Law

    Calculate wien’s law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  6. Astronomy & Earth Science

    Stefan-Boltzmann Law

    Calculate stefan-boltzmann law with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  7. Astronomy & Earth Science

    Great-Circle Distance

    Calculate great-circle distance with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  8. Astronomy & Earth Science

    Earthquake Magnitude and Energy

    Calculate earthquake magnitude and energy with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  9. Astronomy & Earth Science

    Atmospheric Pressure vs Altitude

    Calculate atmospheric pressure vs altitude with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator

Explore topic 10

Quantitative Biology

Model populations, genetics, dilution, decay, and microscopy for educational use.

  1. Quantitative Biology

    Exponential Population Growth

    Calculate exponential population growth with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  2. Quantitative Biology

    Logistic Population Growth

    Calculate logistic population growth with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  3. Quantitative Biology

    Doubling Time

    Calculate doubling time with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  4. Quantitative Biology

    Hardy-Weinberg Equilibrium

    Calculate hardy-weinberg equilibrium with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  5. Quantitative Biology

    Serial Dilution

    Calculate serial dilution with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  6. Quantitative Biology

    Biological Half-Life and Decay

    Calculate biological half-life and decay with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  7. Quantitative Biology

    Microscopy Magnification

    Calculate microscopy magnification with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator

Explore topic 11

Electronics & Basic Engineering

Apply common electronics, circuits, machines, and materials relationships.

  1. Electronics & Basic Engineering

    Voltage Divider

    Calculate voltage divider with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  2. Electronics & Basic Engineering

    LED Current-Limiting Resistor

    Calculate led current-limiting resistor with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  3. Electronics & Basic Engineering

    RC Time Constant

    Calculate rc time constant with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  4. Electronics & Basic Engineering

    RL Time Constant

    Calculate rl time constant with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  5. Electronics & Basic Engineering

    Resonant Frequency

    Calculate resonant frequency with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  6. Electronics & Basic Engineering

    AC RMS

    Calculate ac rms with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  7. Electronics & Basic Engineering

    Gear Ratio

    Calculate gear ratio with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  8. Electronics & Basic Engineering

    Mechanical Advantage

    Calculate mechanical advantage with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  9. Electronics & Basic Engineering

    Stress

    Calculate stress with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  10. Electronics & Basic Engineering

    Strain

    Calculate strain with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator
  11. Electronics & Basic Engineering

    Young’s Modulus

    Calculate young’s modulus with validated inputs, formula substitution, and worked steps.

    Use the relationship shown in the interactive formula panel.

    Open calculator