How to Solve Linear Equations with and without Fractions

How to Solve Rational Equations

How to Solve Word Problems

How to Add, Subtract, Multiply, and Divide Complex Numbers

How to Solve Quadratic Equations by Factoring

How to Solve Quadratic Equations using the Square Root Property

How to Solve Quadratic Equations by Completing the Square

How to Solve Quadratic Equations by using the Quadratic Formula

How to Solve Equations with Square Roots

How to Solve Equations with Rational Exponents

How to Solve Equations by using Substitutions

How to Solve Absolute Value Equations

How to Solve Absolute Value Inequalities

Understand what a Relation is

Understand what a Function is

How to Find the Domain and Range of a Relation

How to Determine if a Relation is a Function

How to use the Vertical Line Test

How to Find Relative Extrema(Maximums and Minimums) from a Graph

How to Determine where a Function is Increasing, Decreasing, or Constant from the Graph

Understand Even and Odd Functions

How to Determine if a Function is Even, Odd, or Neither

How to Evaluate Piecewise Functions

How to Compute the Difference Quotient

How to Find the Slope of a Line

How to Use the Slope Intercept Formula

How to Use the Point Slope Formula

How to Find the Equation of the Line that is Parallel to another Line

How to Find the Equation of the Line that is Perpendicular to another Line

How to Find the Average Rate of Change of a Function

Knowledge of the Basic Graphs

How to Graph the Standard Quadratic Function

How to Graph the Standard Cubic Function

How to Graph the Square Root Function

How to Graph the Cube Root Function

How to Graph the Absolute Value Function

How to Find the Domain of Rational Functions

How to Find the Domain of Square Root Functions

Understand the Notion of Function Composition

How to Find the Composition of Two Functions

How to Find the Sum, Difference, Product, and Quotient of Functions and Find the Domain

How to use the Horizontal Line Test

Understand the Idea behind Inverse Functions

How to Find the Inverse of a Function by Following a Series of Steps

How to Find the Inverse of a Function by using Pure Understanding with No Work to Show(super awesome!!)

How to Find the Midpoint of a Line Segment

How to Find the Distance Between Two Points

Understand the Concept of a Circle

How to Find the Equation of a Circle in Various Scenarios

How to Complete the Square to Write a Circle in Standard Form

How to Graph a Circle and find it's Domain and Range

Understand the Standard Form of a Quadratic Function

How to Find the Vertex and Axis of Symmetry of a Quadratic Function in Standard Form

How to Find the Vertex and Axis of Symmetry of a Quadratic Function in General Form using a Formula

How to Graph a Quadratic Function

Understand what Polynomials are and their Purpose

Understand Properties of the Graphs of Polynomials

How to Find the End Behavior of a Polynomial

How to Find the Zeros of a Polynomial and their Multiplicities

Understand How Multiplicities Affect the Behavior of Polynomial Functions at x-intercepts

How to Graph Polynomial Functions

How to Perform Long Division

How to Perform Synthetic Division

How to use the Rational Roots Theorem/Rational Zeros Theorem

How to Solve Polynomial Equations

How to Find a Polynomial given the Zeros and a Point

How to Find the Holes and Vertical Asymptotes of a Rational Function

How to Find the Horizontal Asymptotes of a Rational Function

Two Important Graphs and Their Translations

How to Find the Domain, Range, and Asymptotes from the Graph of a Rational Function

Understand Direct, Inverse, and Joint Variation

How to Graph Exponential Functions

How to Convert from Exponential Form to Logarithmic Form

How to Convert from Logarithmic Form to Exponential Form

How to Compute Values of Logarithms

How to Find the Domain of Logarithmic Functions

How to Graph Logarithmic Functions

How to use the Change of Base Formula

How to Expand using the Properties of Logarithms(tons of examples!)

How to Condense using the Properties of Logarithms(tons of examples!)

How to Solve Exponential Equations(tons of examples!)

How to Solve Logarithmic Equations(tons of examples!)

How to Find the Inverse of Exponential Functions

How to Find the Inverse of Logarithmic Functions

Understand the Compound Interest Formula

How to Find the Time Required to Double your Money

How to Solve Linear Systems of Equations with Two Variables using the Addition/Elimination Method

How to Solve Linear Systems of Equations with Two Variables using the Substitution Method

How to Solve Linear Systems of Equations with Three Variables

How to Solve Nonlinear Systems of Equations of Equations

How to Graph Inequalities