Intermediate Algebra (11^th Ed.)

For courses in Intermediate Algebra.

The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support

The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and conceptual understanding. The reader-friendly style delivers help precisely when needed. This revision continues to support students with enhancements in the text and MyLab? Math course to encourage conceptual understanding beyond skills and procedures. Student-oriented features throughout the text and MyLab Math, including the Relating Concepts exercises, Guided Solutions, Test Your Word Power, and the Lial Video Library, make the Lial series one of the most well-rounded and student-friendly available.

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MyLab^? Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

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R. Review of the Real Number System

R.1 Basic Concepts

R.2 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties of Real Numbers

Study Skills Using Your Math Text

Study Skills Reading Your Math Text

1. Linear Equations and Applications

1.1 Linear Equations in One Variable

Study Skills Completing Your Homework

1.2 Formulas and Percent

Study Skills Managing Your Time

1.3 Applications of Linear Equations

Study Skills Taking Lecture Notes

1.4 Further Applications of Linear Equations

Summary Exercises Applying Problem-Solving Techniques

Study Skills Reviewing a Chapter

2. Linear Inequalities and Absolute Value

2.1 Linear Inequalities in One Variable

Study Skills Using Study Cards

2.2 Set Operations and Compound Inequalities

Study Skills Using Study Cards Revisited

2.3 Absolute Value Equations and Inequalities

Summary Exercises Solving Linear and Absolute Value Equations and Inequalities 
Study Skills Taking Math Tests

3. Graphs, Linear Equations and Functions

3.1 The Rectangular Coordinate System

Study Skills Analyzing Your Test Results

3.2 Slope of a Line

3.3 Linear Equations in Two Variables

Summary Exercises Finding Slopes and Equations of Lines

3.4 Linear Inequalities in Two Variables

3.5 Introduction to Relations and Functions

3.6 Function Notation and Linear Functions

4. Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

Study Skills Preparing for Your Math Final Exam

4.2 Systems of Linear Equations in Three Variables

4.3 Applications of Systems of Linear Equations

5. Exponents, Polynomials, and Polynomial Functions

5.1 Integer Exponents

5.2 Scientific Notation

5.3 Adding and Subtracting Polynomials

5.4 Polynomial Functions and Graphs

5.5 Multiplying Polynomials

5.6 Dividing Polynomials

6. Factoring

6.1 Greatest Common Factors and Factoring by Grouping

6.2 Factoring Trinomials

6.3 Special Factoring

6.4 A General Approach to Factoring

6.5 Solving Equations Using the Zero-Factor Property

7. Rational Expressions and Functions

7.1 Rational Expressions and Functions; Multiplying and Dividing

7.2 Adding and Subtracting Rational Expressions

7.3 Complex Fractions

7.4 Equations with Rational Expressions and Graphs

Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations

7.5 Applications of Rational Expressions

7.6 Variation

8. Roots, Radicals, and Root Functions

8.1 Radical Expressions and Graphs

8.2 Rational Exponents

8.3 Simplifying Radical Expressions

8.4 Adding and Subtracting Radical Expressions

8.5 Multiplying and Dividing Radical Expressions

Summary Exercises Performing Operations with Radicals and Rational Exponents

8.6 Solving Equations with Radicals

8.7 Complex Numbers

9. Quadratic Equations, Inequalities, and Functions

9.1 The Square Root Property and Completing the Square

9.2 The Quadratic Formula

9.3 Equations Quadratic in Form

Summary Exercises Applying Methods for Solving Quadratic Equations

9.4 Formulas and Further Applications

9.5 Graphs of Quadratic Functions

9.6 More about Parabolas and Their Applications

9.7 Polynomial and Rational Inequalities

10. Inverse, Exponential, and Logarithmic Functions

10.1 Composition of Functions

10.2 Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 Common and Natural Logarithms

10.7 Exponential and Logarithmic Equations and Their Applications

11. Nonlinear Functions, Conic Sections, and Nonlinear Systems

11.1 Additional Graphs of Functions

11.2 Circles and Ellipses

11.3 Hyperbolas and Functions Defined by Radicals

11.4 Nonlinear Systems of Equations

11.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A. Review of Fractions

Appendix B. Synthetic Division

Appendix C. Solving Systems of Linear Equations by Matrix Methods

About the Book

Student-friendly features to make math accessible

• Margin Problems allow students to immediately practice the example material and check their answer at the bottom of the page in preparation for the exercise sets.
• Real-Life Applications with interesting data are used in many new or updated examples and exercises throughout the text. Students are often asked to find data in a table, chart, graph, or advertisement. These applied problems provide an up-to-date flavor that will appeal to and motivate students.
• Learning Objectives begin each section, and all material is keyed to these objectives to let students and instructors know exactly what will be covered.
• Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the-spot reminders and warnings about common pitfalls. Expanded! A popular feature, Pointers have been increased in this edition.
• UPDATED! Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities.
• Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes.
• The new and engaging Chapter Openers portray real-life situations that make math relevant for students.
• Figures and Photos provide visual learners with a presentation of mathematical figures, diagrams, tables, and graphs whenever possible and use a style similar to that seen by students in today’s print and electronic media.
• Calculator Tips are optional tips, marked with a red calculator icon, that