Math Calculators & Formula Sheet
Scientific, fraction, graphing, conversion, and formula-reference tools
Interactive Periodic TableExplore all 118 elements, families, properties, and atomic data.
Statistics CalculatorAnalyze data sets, quartiles, spread, frequencies, histograms, and box plots.
Geometry ToolkitCalculate measurements for common shapes and solve right triangles.
Chemistry CalculatorMolar mass, mole conversions, solutions, gases, pH, and percent yield.
Writing ToolkitCheck word count, readability, sentence length, transitions, and citations.
Scientific Calculator
Advanced
Expression
Fraction Calculator
ExactUnit Converter
CommonGraphing Calculator
y = f(x)Formula Sheet
ReferenceAlgebra
Slope
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Rate of change between two points.
Slope-intercept form
\(y=mx+b\)
\(m\) is slope, \(b\) is y-intercept.
Point-slope form
\(y-y_1=m(x-x_1)\)
Line through one known point.
Quadratic formula
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
For \(ax^2+bx+c=0\).
Discriminant
\(D=b^2-4ac\)
Determines the number/type of roots.
Vertex x-value
\(x=\frac{-b}{2a}\)
Axis of symmetry for a parabola.
Distance formula
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Distance between two points.
Midpoint
\(\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\)
Point halfway between two points.
Geometry
Rectangle
\(A=lw,\ P=2l+2w\)
Area and perimeter.
Triangle
\(A=\frac{1}{2}bh\)
Area using base and height.
Circle
\(A=\pi r^2,\ C=2\pi r\)
Area and circumference.
Pythagorean theorem
\(a^2+b^2=c^2\)
Right triangles only.
Rectangular prism
\(V=lwh\)
Volume.
Cylinder
\(V=\pi r^2h\)
Volume.
Cone
\(V=\frac{1}{3}\pi r^2h\)
Volume.
Sphere
\(V=\frac{4}{3}\pi r^3\)
Volume.
Trigonometry
Sine
\(\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}\)
Right triangle ratio.
Cosine
\(\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}\)
Right triangle ratio.
Tangent
\(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\)
Right triangle ratio.
Radians
\(180^\circ=\pi\text{ radians}\)
Degree-radian conversion.
Data and Probability
Mean
\(\bar{x}=\frac{\text{sum of values}}{\text{number of values}}\)
Average.
Weighted mean
\(\bar{x}=\frac{\sum wx}{\sum w}\)
Average with weights.
Percent change
\(\frac{\text{new}-\text{old}}{\text{old}}\times100\%\)
Increase or decrease.
Probability
\(P=\frac{\text{favorable outcomes}}{\text{total outcomes}}\)
Equally likely outcomes.
Science
Density
\(\rho=\frac{m}{V}\)
Mass per volume.
Speed
\(v=\frac{d}{t}\)
Distance over time.
Force
\(F=ma\)
Newton's second law.
Work
\(W=Fd\)
Force times distance.
Kinetic energy
\(KE=\frac{1}{2}mv^2\)
Energy of motion.
Ohm's law
\(V=IR\)
Voltage, current, resistance.
Wave speed
\(v=f\lambda\)
Frequency times wavelength.
Moles
\(n=\frac{m}{M}\)
Mass over molar mass.