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


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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