Introductory Algebra

Lial/Hornsby/McGinnis’s Introductory Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge students’ knowledge of the subject matter.

Table of Contents:
List of Applications List of Focus on Real-Data Applications Preface Feature Walk-Through An Introduction to Scientific Calculators To the Student Diagnostic Pretest   Chapter R    Prealgebra Review R.1  Fractions R.2  Decimals and Percents   Chapter 1    The Real Number System 1.1  Exponents, Order of Operations, and Inequality 1.2  Variables, Expressions, and Equations 1.3  Real Numbers and the Number Line 1.4  Adding Real Numbers 1.5  Subtracting Real Numbers   1.6  Multiplying and Dividing Real Numbers Summary Exercises on Operations with Real Numbers 1.7  Properties of Real Numbers 1.8  Simplifying Expressions Summary ~ Review Exercises ~ Test   Chapter 2    Equations, Inequalities, and Applications 2.1  The Addition Property of Equality 2.2  The Multiplication Property of Equality 2.3  More on Solving Linear Equations Summary Exercises on Solving Linear Equations 2.4  An Introduction to Applications of Linear Equations 2.5  Formulas and Applications from Geometry 2.6  Ratio, Proportion, and Percent Summary Exercises on Solving Applied Problems 2.7  Solving Linear Inequalities Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 3    Graphs of Linear Equations and Inequalities in Two Variables 3.1  Reading Graphs; Linear Equations in Two Variables 3.2  Graphing Linear Equations in Two Variables 3.3  Slope of a Line 3.4  Equations of Lines Summary Exercises on Graphing Linear Equations 3.5  Graphing Linear Inequalities in Two Variables Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 4    Systems of Equations and Inequalities 4.1  Solving Systems of Linear Equations by Graphing 4.2  Solving Systems of Linear Equations by Substitution 4.3  Solving Systems of Linear Equations by Elimination Summary Exercises on Solving Systems of Linear Equations 4.4  Applications of Linear Systems 4.5  Solving Systems of Linear Inequalities Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 5    Exponents and Polynomials 5.1  Adding and Subtracting Polynomials 5.2  The Product Rule and Power Rules for Exponents 5.3  Multiplying Polynomials 5.4  Special Products 5.5  Integer Exponents and the Quotient Rule Summary Exercises on the Rules for Exponents 5.6  Dividing a Polynomial by a Monomial 5.7  The Quotient of Two Polynomials 5.8  An Application of Exponents: Scientific Notation Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 6    Factoring and Applications 6.1  Factors; The Greatest Common Factor 6.2  Factoring Trinomials 6.3  Factoring Trinomials by Grouping 6.4  Factoring Trinomials Using FOIL 6.5  Special Factoring Techniques Summary Exercises on Factoring 6.6  Solving Quadratic Equations by Factoring   6.7  Applications of Quadratic Equations Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 7    Rational Expressions and Applications 7.1  The Fundamental Property of Rational Expressions 7.2  Multiplying and Dividing Rational Expressions 7.3  Least Common Denominators 7.4  Adding and Subtracting Rational Expressions 7.5  Complex Fractions 7.6  Solving Equations with Rational Expressions Summary Exercises on Operations and Equations with Rational Expressions 7.7  Applications of Rational Expressions 7.8  Variation Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 8    Roots and Radicals 8.1  Evaluating Roots 8.2  Multiplying, Dividing, and Simplifying Radicals 8.3  Adding and Subtracting Radicals 8.4  Rationalizing the Denominator 8.5  More Simplifying and Operations with Radicals Summary Exercises on Operations with Radicals 8.6  Solving Equations with Radicals Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Chapter 9    Quadratic Equations 9.1  Solving Quadratic Equations by the Square Root Property 9.2  Solving Quadratic Equations by Completing the Square 9.3  Solving Quadratic Equations by the Quadratic Formula Summary Exercises on Solving Quadratic Equations 9.4  Graphing Quadratic Equations 9.5  Introduction to Functions Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises   Appendix A  Strategies for Problem Solving Appendix B  Sets Appendix C  Mean, Median, and Mode Appendix D  Factoring Sums and Differences of Cubes Answers to Selected Exercises Index Videotape Index