The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, Focus on Real-Data Applications, and increased use of the authors' six-step problem solving process.

(*Each Chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapter 1, each Chapter also ends with a set of cumulative review exercises.*).

** List of Applications. **

** Preface. **

** An Introduction to Scientific Calculators. **

** To the Student. **

** Diagnostic Pretest. **

** 1. Review of the Real Number System. **

Basic Concepts.

Operations on Real Numbers.

Exponents, Roots, and Order of Operations.

Properties of Real Numbers.

** 2. Linear Equations and Applications. ** Linear Equations in One Variable.

Formulas.

Applications of Linear Equations.

Further Applications of Linear Equations.

Summary Exercises on Solving Applied Problems.

** 3. Linear Inequalities and Absolute Value. ** Linear Inequalities in One Variable.

Set Operations and Compound Inequalities.

Absolute Value Equations and Inequalities.

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.

** 4. Graphs, Linear Equations, and Functions. ** The Rectangular Coordinate System.

Slope.

Linear Equations in Two Variables.

Linear Inequalities in Two Variables.

Introduction to Functions.

Variation.

** 5. Systems of Linear Equations. ** Linear Systems of Equations in Two Variables.

Linear Systems of Equations in Three Variables.

Applications of Linear Systems of Equations.

Solving Linear Systems of Equations by Matrix Methods.

** 6. Exponents and Polynomials. ** Integer Exponents and Scientific Notation.

Adding and Subtracting Polynomials; Polynomial Functions.

Multiplying Polynomials.

Dividing Polynomials.

Synthetic Division.

Greatest Common Factors; Factoring by Grouping.

Factoring Trinomials.

Special Factoring.

Summary Exercises on Factoring.

Solving Equations by Factoring.

** 7. Rational Expressions. ** Rational Expressions and Functions; Multiplying and Dividing.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Graphs and Equations with Rational Expressions.

Summary Exercises on Operations and Equations with Rational Expressions.

Applications of Rational Expressions.

** 8. Roots and Radicals. ** Rational Expressions and Graphs.

Rational Exponents.

Simplifying Radical Expressions.

Adding and Subtracting Radical Expressions.

Multiplying and Dividing Radical Expressions.

Equations with Radical Expressions.

Complex Numbers.

** 9. Quadratic Equations, Inequalities, and Graphs. ** The Square Root Property and Completing the Square.

The Quadratic Formula.

Equations Quadratic in Form.

Formulas and Further Applications.

Graphs of Quadratic Functions.

More About Parabolas; Applications.

Quadratic and Rational Inequalities.

** 10. Exponential and Logarithmic Functions. ** Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations; Applications.

** 11. Nonlinear Functions, Conic Sections, and Nonlinear Systems. ** Additional Graphs of Functions; Composition.

The Circle and the Ellipse.

The Hyperbola, and Other Functions Defined by Radicals.

Nonlinear Systems of Equations.

Second-Degree Inequalities; Systems of Inequalities.

** Appendix. ** A. Review of Fractions.

B. Determinants and Cramer's Rule.

** Answers to Selected Exercises. **** Index. **** Videotape Index. **