Table of Contents

1 • Algebraic Expressions
 Simplifying Expressions: Rules of Exponents
 Rewriting Expressions Using the Distributive Property
 Simplifying Expressions: Combining Like Terms
 Evaluating Algebraic Expressions
 Factoring Monic Quadratics
 Difference of Two Squares
 Factoring PerfectSquare Trinomials
 Sum and Difference of Two Cubes
 Factorization Using the Highest Common Factor
 Zero and Negative Exponents
 Simplifying Expressions: Negative and Fractional Exponents
 Simplifying Monomials: Negative Exponents
 Multiplying Radical Expressions
 Simplifying Radicals
 Adding and Subtracting Radical Expressions
 Rationalizing Denominators of Radicals

2 • Quadratics
 Solving Quadratic Equations: Quadratic Formula
 Factoring Nonmonic Quadratics
 Completing the Square
 Solving Quadratics: Completing the Square
 Relations and Functions
 Function Rules
 Domain and Range of a Function
 Evaluating Functions
 Solving Quadratic Equations: Taking Square Roots
 Polynomial Equations
 Features of Quadratic Functions
 Graphing Quadratic Functions
 Discriminants of Quadratics
 Equation of a Parabola

3 • Equations and Inequalities
 Solving Systems of Linear Equations Using Substitution
 Solving Systems of Linear Equations Using Elimination
 LinearQuadratic Systems of Equations
 Solving Systems of Linear Equations Graphically
 Applications on Systems of Linear Equations
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 TwoStep Linear Inequalities
 Multistep Inequalities
 OneVariable Quadratic Inequalities
 TwoVariable Linear Inequalities
 Solving Systems of Linear Inequalities
 4 • Graphs and Transformations

5 • Straight Line Graphs
 Slopes and Intercepts of Linear Functions
 Slope of a Line through Two Points
 Equation of a Straight Line: Standard and Point–Slope Forms
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: General Form
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 Distance on the Coordinate Plane: Pythagorean Formula
 Distance on the Coordinate Plane: Horizontal and Vertical
 6 • Circles
 7 • Algebraic Methods
 8 • The Binomial Expansion
 9 • Trigonometric Ratios

10 • Trigonometric Identities and Equations
 Exact Values of Trigonometric Ratios
 Simplifying Trigonometric Expressions Using Trigonometric Identities
 Simplifying Trigonometric Expressions
 Evaluating Trigonometric Functions
 Evaluating Trigonometric Functions Using Cofunction Identities
 Solving Reciprocal Trigonometric Equations
 Simple Trigonometric Equations
 11 • Vectors
 12 • Differentiation
 13 • Integration
 14 • Exponentials and Logarithms