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Math 101: College Algebra Formulas & Properties

Instructor: Juliana Barnes
The following sheet includes most of the algebraic formulas and properties we covered in Math 101. Keep it on hand when studying for the course and solving future math problems.

Arithmetic and Geometric Sequence Rules

Arithmetic rule for an arithmetic sequence:


arithmetic sequence


General rule for a geometric sequence (nth term):


geometric sequence


Sum of a geometric series:


sum of a geometric series


Linear Equations

Slope-intercept form of a linear equation:


slope-intercept form


Parabolas

Standard form of a parabola:


standard form of a parabola


Intercept form of a parabola:


intercept form of a parabola


Vertex form of a parabola:


vertex form of a parabola


Properties of Exponents

Power of a product:


power of a product


Power to a power:


power to a power


Power of a quotient:


power of a quotient


Product of powers:


product of powers


Quotient of powers:


quotient of powers

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