Exceptionally clear and accessible, Pat McKeague's best-selling texts offer all the review, drill, and practice students need to develop solid mathematical proficiency and confidence. McKeague's attention to detail, exceptional writing style, and organization of mathematical concepts make teaching enjoyable and learning accessible. The seventh edition of this popular series gives the book a greater emphasis on the connections between equations, tables, and graphs and by incorporating pedagogy that addresses collaborative learning and terminology.
Table of Contents
Preface to the Instructor. Preface to the Student. 1. BASIC PROPERTIES AND DEFINITIONS. Fundamental Definitions and Notation. The Real Numbers. Properties of Real Numbers. Arithmetic with Real Numbers. Recognizing Patterns. Summary. Review. Test. Projects. 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 Value. 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 Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra and Composition with Functions .Variation. Summary. Review. Cumulative Review. Test. Projects. 4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three 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 Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Special Factoring. Factoring: A General Review. Solving Equations by Factoring. Summary. Review. Cumulative Review. Test. Projects. 6. RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS. 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. Summary. Review. Cumulative Review. Test. Projects. 7. RATIONAL EXPONENTS AND ROOTS. 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. Summary. Review. Cumulative Review. Test. Projects. 8. QUADRATIC FUNCTIONS. Completing the Square. The Quadratic Formula. Additional Items Involving Solutions to Equations. Equations Quadratic in Form. Graphing Parabolas. Quadratic Inequalities. Summary. Review. Cumulative Review. Test. Projects. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Inverse of a Function. Logarithms are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base. Summary. Review. Cumulative Review. Test. Projects. 10. CONIC SECTIONS. The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and Nonlinear Systems. Summary. Review. Cumulative Review. Test. Projects. 11. SEQUENCES AND SERIES. Sequences. Series. Arithmetic Sequences. Geometric Sequences.The Binomial Expansion. Summary. Review. Cumulative Review. Test. Projects. Appendix A: Synthetic Division. Appendix B: Matrix Solutions to Linear Systems. Appendix C: Conditional Statements. Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews. Index.