by Margaret Lial, John Hornsby and Terry McGinnis
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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 includesan effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter.
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
Margaret Lial, John Hornsby and Terry McGinnis
ISBN13: 978-0321279217Lial/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 includesan 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