Overview0. REVIEW. Number Sense. Coordinate Systems. Solving Linear Equations and Inequalities. Inequalities, Line graphs and Intervals. Solving Systems of Equations. Quantity Rate Tables. Problem Solving. 1. LINEAR FUNCTIONS AND INEQUALITIES. Functions. Functions Represented in Four Ways. Linear Functions. Modeling Linear Functions and Inequalities. Modeling Special Linear Functions and Inequalities. Solving Linear and Absolute Value Inequalities. 2. QUADRATIC AND POLYNOMIAL FUNCTIONS. Quadratic Functions. Modeling Quadratic Functions. Polynomial Functions and Operations. Special Products and Completing the Square. Solving Quadratic Equations with Tables, Graphs, and Factors. The Roles of a, b, c, and Binomial Squares in Graphing Quadratic Functions. 3. SQUARE ROOTS; QUADRATIC EQUATIONS AND INEQUALITIES. The Square Root Function and the Pythagorean Theorem. Solving Quadratic Equations with Square Roots. Solving Quadratic Equations with the Quadratic Formula. Solving Minimum and Maximum Problems. Complex Numbers and Solving Polynomial Equations. Shifts, Vertex Form, and Applications of Quadratic Functions. Solving Quadratic Inequalities. 4. VARIATION AND RATIONAL FUNCTIONS. Ratios, Units of Measure, and Proportions. Direct Variation. Inverse Variation and Related Graphs. Simplification, Multiplication, and Division of Rational Expressions. Division of Polynomials and Related Graphs. Addition and Subtraction of Rational Expression. Solving Rational Equations. 5. EXPONENTS AND RADICALS. Exponents and Their Properties. Scientific Notation. Rational Exponents. Roots and Rational Exponents. More Operations with Radicals. Solving Root and Power Equations. 6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Exponential Equations and Graphs. Finding Inverse Functions (from 7.6). Solving Exponential Equations: Logarithms. Applications of Exponential and Logarithmic Functions. Properties of Logarithms and the Logarithmic Scale. The Natural Number e in Exponential and Logarithmic Functions. 7. SYSTEMS OF THREE EQUATIONS AND NONLINEAR SYSTEMS. Solving Systems of Three or More Equations. Conic Sections. Solving Systems of Nonlinear Equations. Solving Systems of Inequalities. Series and Sequences. 8. COUNTING AND PROBABILITY. Introduction to Probability. The Addition and Multiplication Principles. More on the Addition and Multiplication Principles. Permutations and Combinations. Final Exam Review.