Overview1. THE BASICS. Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Properties of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Subsets of the Real Numbers. Addition and Subtraction with Fractions Summary. 2. LINEAR EQUATIONS AND INEQUALITIES. Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equations. Formulas. Applications. More Applications. Linear Inequalities. Compound Inequalities. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. The Slope of a Line. Finding the Equation of a Line. Linear Inequalities in Two Variables. 4. SYSTEMS OF LINEAR EQUATIONS. Solving Linear Systems by Graphing. The Elimination Method. The Substitution Method. Applications. Solving Systems of Linear Inequalities. 5. EXPONENTS AND POLYNOMIALS. Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication with Polynomials. Binomial Squares and Other Special Products. Dividing a Polynomial by a Monomial. Dividing a Polynomial by a Polynomial. 6. FACTORING. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. The Sum and Difference of Two Cubes. Factoring: A General Review. Solving Equations by Factoring. Applications. 7. RATIONAL EXPRESSIONS. Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications. Complex Fractions. Proportions. Variation. 8. ROOTS AND RADICALS. Definitions and Common Roots. Properties of Radicals. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radicals. Equations Involving Radicals. Rational Exponents. 9. QUADRATIC EQUATIONS. More Quadratic Equations. Completing the Square. The Quadratic Formula. Complex Numbers. Complex Solutions to Quadratic Equations. Graphing Parabolas. Appendix. A Resources. B Introduction to Functions. C Function Notation.