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Each Chapter ends with a Group Activity, Summary, Review Exercises, a Chapter Test and, with the exception of Ch. 1, a Cumulative Review)
List of Applications. Preface. 1. The Real Number System. Fractions.
Exponents, Order of Operations, and Inequality.
Variables, Expressions, and Equations.
Real Numbers and the Number Line.
Adding and Subtracting Real Numbers.
Multiplying and Dividing Real Numbers.
Summary Exercises on Operations with Real Numbers.
Properties of Real Numbers.
Simplifying Expressions.
2. Linear Equations and Inequalities in One Variable; Applications. The Addition Property of Equality.
The Multiplication Property of Equality.
More on Solving Linear Equations.
Summary Exercises on Solving Linear Equations.
An Introduction to Applications of Linear Equations.
Formulas and Applications from Geometry.
Ratios and Proportions.
More about Problem Solving.
Solving Linear Inequalities.
3. Linear Equations in Two Variables. Reading Graphs; Linear Equations in Two Variables.
Graphing Linear Equations in Two Variables.
The Slope of a Line.
Equations of a Line.
4. Exponents and Polynomials. The Product Rule and Power Rules for Exponents.
Integer Exponents and the Quotient Rule.
Summary Exercises on the Rules for Exponents.
An Application of Exponents: Scientific Notation.
Adding and Subtracting Polynomials; Graphing Simple Polynomials.
Multiplying Polynomials.
Special Products.
Dividing Polynomials.
5. Factoring and Applications. The Greatest Common Factor; Factoring by Grouping.
Factoring Trinomials.
More on Factoring Trinomials.
Special Factoring Rules.
Summary Exercises on Factoring.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations.
6. Rational Expressions and Applications. The Fundamental Property of Rational Expressions.
Multiplying and Dividing Rational Expressions.
Least Common Denominators.
Adding and Subtracting Rational Expressions.
Complex Fractions.
Solving Equations with Rational Expressions.
Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.
7. Equations of Lines; Functions. Review of Graphs and Slopes of Lines.
Review of Equations of Lines; Linear Models.
Functions.
Variation.
8. Systems of Linear Equations. Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Summary Exercises on Solving Systems of Linear Equations.
Systems of Linear Equations in Three Variables.
Applications of Systems of Linear Equations.
Solving Systems of Linear Equations by Matrix Methods.
9. Inequalities and Absolute Value. Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Linear Inequalities in Two Variables.
10. Roots, Radicals, and Root Functions. Radical Expressions and Graphs.
Rational Exponents.
Simplifying Radical Expressions.
Adding and Subtracting Radical Expressions.
Multiplying and Dividing Radical Expressions.
Summary Exercises on Operations with Radicals.
Solving Equations with Radicals.
Complex Numbers.
11. Quadratic Equations, Inequalities, and Functions. Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Equations Quadratic in Form.
Summary Exercises on Solving Quadratic Equations.
Formulas and Further Applications.
Graphs of Quadratic Functions.
More about Parabolas; Applications.
Quadratic and Rational Inequalities.
12. Inverse, Exponential, and Logarithmic Functions. Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithms.
Common and Natural Logarithms.
Exponential and Logarithmic Equations; Further Applications.
13. Nonlinear Functions, Conic Sections, and Nonlinear Systems. Additional Graphs of Functions; Operations and Composition.
The Circle and the Ellipse.
The Hyperbola and Functions Defined by Radicals.
Nonlinear Systems of Equations.
Second-Degree Inequalities and Systems of Inequalities.
14. Sequences and Series. Sequences and Series.
Arithmetic Sequences.
Geometric Sequences.
The Binomial Theorem.
Appendices. Appendix A: An Introduction to Calculators.
Appendix B: Review of Decimals and Percents.
Appendix C: Sets.
Appendix D: Mean, Median, and Mode.
Appendix E: The Metric System and Conversions.
Appendix F: Review of Exponents, Polynomials, and Factoring.
Appendix G: Synthetic Division.
Appendix H: Determinants and Cramer's Rule.
Answers to Selected Exercises. Glossary. Index. Videotape and CD Index.