Written in a clear and concise style, this book offers all the review, drill and practice students need to develop proficiency in algebra. In a lecture-format class, each section of the book can be discussed in a forty-five- to fifty-minute class session. In a self-paced situation, the "Practice Problem" in the margins the student to become actively involved with the material before working the problems in the "Problem Set."
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Table of Contents
1. Basic Properties and Definitions. Introduction. Fundamental Definitions and Notations. The Real Numbers. Properties of Real Numbers. Arithmetic with Real Numbers. Conditional Statements. Number Sequences and Inductive Reasoning. 2. Linear Equations and Inequalities in One Variable. Introduction. Linear Equations in One Variable. More Linear Equations. Formulas. Applications. Linear Inequalities in One Variable. Equations with Absolute Value. Inequalities Involving Absolute Value. 3. Equations and Inequalities in Two Variables. Introduction. Paired Data and the Rectangular Coordinate System. The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Variation. 4. Exponents and Polynomials. Introduction. Properties of Exponents. Polynomials, Sums, and Differences. Multiplication of Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Special Factoring. Factoring: A General Review. Solving Equations by Factoring. 5. Rational Expressions. Introduction. Basic Properties and Reducing to Lowest Terms. Division of Polynomials. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Involving Rational Expressions. Applications. 6. Rational Exponents and Roots. Introduction. Rational Exponents. More Expressions Involving Rational Exponents. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers. 7. Quadratic Equations. Introduction. Completing the Square. The Quadratic Formula. Additional ItemsInvolving Solutions to Equations. Equations Quadratic in Form. Graphing Parabolas. Quadratic Inequalities. 8. Systems of Linear Equations. Introduction. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Introduction to Determinants. Cramer's Rule. Applications. 9. Exponential and Logarithmic Functions. Introduction. Exponential Functions. The Inverse of a Function. Logarithms Are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base. 10. Conic Sections. Introduction. The Circle. Ellipses and Hyperbolas. Second-Degree Inequalities and Nonlinear Systems. Appendix A: Synthetic Division. Appendix B: Solutions to Selected Practice Problems. Appendix C: Answers to Odd-Numbered Problems, Chapter Reviews, Cumulative Reviews, and Chapter Tests. Index.