• Translating Verbal Expressions to Variable Expressions	• Quadratic Equations • A Geometrical Approach to Completing the Square • Complex Number Arithmetic • Using Function Notation • Polynomial and Rational Inequalities • How to find Compositions of Functions • How to find the Inverse of a Function • Synthetic Division • Polynomial Equation Examples • The Inverse Properties of Logarithms • The Three Big Properties of Logarithms • Some Techniques for Solving Exponential and Logarithmic Equations
• Getting Rid of Parentheses
• Simplifying Exponential Expressions
• Linear Equations
• Translating Sentences into Equations
• How to Solve Percent Increase and Decrease Problems
• How to Add, Subtract, Multiply, and Divide Polynomials
• Factoring Polynomials
• Rational Expressions
• How to Rationalize a Denominator