Math 105: Precalculus Algebra Formulas & Properties

Instructor: Juliana Barnes
On this study sheet, you'll find most of the equations and formulas discussed in Math 105, including those used to solve distance, midpoint, quadratic and rate of change problems.

Circles, Cylinders and Spheres: Formulas

Area of a circle:


area of a circle


Circumference of a circle:


circumference of a circle


Surface area of a cylinder:


surface area of a cylinder


Surface area of a sphere:


surface area of a sphere


Volume of a cylinder:


volume of a cylinder


Distance, Midpoint and Magnitude: Formulas

Distance formula:


distance formula


Midpoint formula:


midpoint formula


Magnitude formula:


magnitude formula


Linear and Point-Slope: Equations

Point-slope form of an equation:


point-slope form of a linear equation


Slope-intercept form of a linear equation:


slope-intercept form of a linear equation


Standard form of a linear equation:


standard form of a linear equation


Logarithmic Formula and Function

Change of base formula:


change of base formula


Logarithmic function:


logarithmic function


Maximum/Minimum of a Function

Maximum and minimum values of a function:


maximum/minimum values of a function


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