1. BASIC PROPERTIES AND DEFINITIONS.
Fundamental Definitions and Notation. The Real Numbers. Properties of
Real Numbe rs. Arithmetic with Real Numbers. Recognizing Patterns. Summary.
Review. Test. P rojects.
2. LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE.
Linear Equations in One Variable. Formulas. Applications. Linear Inequalities
in One Variable. Equations with Absolute Value. Inequalities Involving
Absolute Va lue. Summary. Review. Cumulative Review. Test. Projects.
3. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
Paired Data and the Rectangular Coordinate System. The Slope of a Line.
The Equa tion of a Line. Linear Inequalities in Two Variables. Introduction
to Functions. Function Notation. Variation. Summary. Review. Cumulative
Review. Test. Project s.
4. SYSTEMS OF LINEAR EQUATIONS.
Systems of Linear Equations in Two Variables. Systems of Linear Equations
in Thr ee Variables. Introduction to Determinants. Cramer's Rule. Applications.
Systems of Linear Inequalities. Summary. Review. Cumulative Review.
Test. Projects.
5. EXPONENTS AND POLYNOMIALS.
Properties of Exponents. Polynomials, Sums, and Differences. Multiplication
of P olynomials. The Greatest Common Factor and Factoring by Grouping.
Factoring Trin omials. Special Factoring. Factoring: A General Review.
Solving Equations by Fac toring. Summary. Review. Cumulative Review.
Test. Projects.
6. RATIONAL EXPRESSIONS.
Basic Properties and Reducing to Lowest Terms. Division of Polynomials.
Multipli cation and Division of Rational Expressions. Addition and Subtraction
of Rationa l Expressions. Complex Fractions. Equations Involving Rational
Expressions. Appl ications. Summary. Review. Cumulative Review. Test.
Projects.
7. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified
Fo rm for Radicals. Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions. Equations with Radicals.
Complex Numbers. Summary. Review. Cumulative Review. Test. Projects.
8. QUADRATIC FUNCTIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving
Solutio ns to Equations. Equations Quadratic in Form. Graphing Parabolas.
Quadratic Ineq ualities. Summary. Review. Cumulative Review. Test. Projects.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms are Exponents.
Prop erties of Logarithms. Common Logarithms and Natural Logarithms.
Exponential Equa tions and Change of Base. Summary. Review. Cumulative
Review. Test. Projects.
10. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and
Nonlinear Sy stems. Summary. Review. Cumulative Review. Test. Projects.
Appendix A: Synthetic Division. Appendix B: Conditional Statements.
Appendix C: Algebra and Compositi on with Functions. Answers to odd-numbered
problems, chapter reviews, chapter te sts, and cumulative reviews. Index.