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Math Formula Encyclopedia

Search, understand, and use formulas across arithmetic, algebra, geometry, trigonometry, calculus, statistics, finance, science, engineering, and everyday math.

134 formulas10 subjectsExamples + variables
AllAlgebra 16Arithmetic 8Calculus 15Everyday Math & Conversions 7Finance & Business 9Geometry 28Number Theory & Sequences 8Science & Engineering 16Statistics & Probability 16Trigonometry 11

16 matching formulas

Algebra

Linear Equation

x = (c − b) / a

Solves ax + b = c for x.

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Slope

m = (y₂ − y₁)/(x₂ − x₁)

Rate of vertical change per unit horizontal change.

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Slope-Intercept Form

y = mx + b

Standard equation of a nonvertical straight line.

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Point-Slope Form

y − y₁ = m(x − x₁)

Equation of a line from a point and slope.

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Quadratic Formula

x = (−b ± √(b² − 4ac))/(2a)

Finds roots of a quadratic equation.

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Discriminant

Δ = b² − 4ac

Determines the nature of quadratic roots.

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Vertex of a Parabola

xᵥ = −b/(2a)

Finds the horizontal coordinate of a quadratic vertex.

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Difference of Squares

a² − b² = (a−b)(a+b)

Factors a difference of perfect squares.

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Exponent Product Rule

a^m · a^n = a^(m+n)

Adds exponents when multiplying like bases.

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Exponent Quotient Rule

a^m / a^n = a^(m−n)

Subtracts exponents when dividing like bases.

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Power of a Power

(a^m)^n = a^(mn)

Multiplies exponents when raising a power to a power.

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Logarithm Change of Base

log_b(x)=ln(x)/ln(b)

Rewrites a logarithm using another base.

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Binomial Square

(a+b)² = a²+2ab+b²

Common reference identity or relationship used in algebra.

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Binomial Difference Square

(a−b)² = a²−2ab+b²

Common reference identity or relationship used in algebra.

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Sum of Cubes

a³+b³=(a+b)(a²−ab+b²)

Common reference identity or relationship used in algebra.

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Difference of Cubes

a³−b³=(a−b)(a²+ab+b²)

Common reference identity or relationship used in algebra.

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