Intermediate Algebra

Description

Study Skills

• Study Skill 1: Using Your Math Text
• Study Skill 2: Reading Your Math Text
• Study Skill 3: Taking Lecture Notes
• Study Skill 4: Completing Your Homework
• Study Skill 5: Using Study Cards
• Study Skill 6: Managing Your Time
• Study Skill 7: Reviewing a Chapter
• Study Skill 8: Taking Math Tests
• Study Skill 9: Analyzing Your Test Results
• Study Skill 10: Preparing for Your Math Final

1. Review of the Real Number System
   • R.1 Fractions, Decimals, and Percents
   • R.2 Basic Concepts from Algebra
   • R.3 Operations on Real Numbers
   • R.3 Exponents, Roots, and Order of Operations
   • R.4 Properties of Real Numbers
   • Chapter R Summary
   • Chapter R Test
2. Linear Equations, Inequalities, and Applications
   • 1.1 Linear Equations in One Variable
   • 1.2 Formulas and Percent
   • 1.3 Applications of Linear Equations
   • 1.4 Further Applications of Linear Equations
     • Summary Exercises: Applying Problem-Solving Techniques
   • 1.5 Linear Inequalities in One Variable
   • 1.6 Set Operations and Compound Inequalities
   • 1.7 Absolute Value Equations and Inequalities
   • Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities
   • Chapter 1 Summary
   • Chapter 1 Review Exercises
   • Chapter 1 Mixed Review Exercises
   • Chapter 1 Test
   • Chapters R and 1 Cumulative Review Exercises
3. Linear Equations, Graphs, and Functions
   • 2.1 Linear Equations in Two Variables
     • Study Skills: Managing Your Time
   • 2.2 The Slope of a Line
   • 2.3 Writing Equations of Lines
     • Summary Exercises: Finding Slopes and Equations of Lines
   • 2.4 Linear Inequalities in Two Variables
   • 2.5 Introduction to Relations and Functions
   • 2.6 Function Notation and Linear Functions
   • Chapter 2 Summary
   • Chapter 2 Review Exercises
   • Chapter 2 Mixed Review Exercises
   • Chapter 2 Test
   • Chapters R–2 Cumulative Review Exercises
4. Systems of Linear Equations
   • 3.1 Systems of Linear Equations in Two Variables
   • 3.2 Systems of Linear Equations in Three Variables
   • 3.3 Applications of Systems of Linear Equations
   • Chapter 3 Summary
   • Chapter 3 Review Exercises
   • Chapter 3 Mixed Review Exercises
   • Chapter 3 Test
   • Chapters R–3 Cumulative Review Exercises
5. Exponents, Polynomials, and Polynomial Functions
   • 4.1 Integer Exponents
   • 4.2 Scientific Notation
   • 4.3 Adding and Subtracting Polynomials
   • 4.4 Polynomial Functions, Graphs, and Composition
   • 4.5 Multiplying Polynomials
   • 4.6 Dividing Polynomials
   • Chapter 4 Summary
   • Chapter 4 Review Exercises
   • Chapter 4 Mixed Review Exercises
   • Chapter 4 Test
   • Chapters R–4 Cumulative Review Exercises
6. Factoring
   • 5.1 Greatest Common Factors and Factoring by Grouping
   • 5.2 Factoring Trinomials
   • 5.3 Special Factoring
   • 5.4 A General Approach to Factoring
   • 5.5 Solving Equations by the Zero-Factor Property
   • Chapter 5 Summary
   • Chapter 5 Review Exercises
   • Chapter 5 Mixed Review Exercises
   • Chapter 5 Test
   • Chapters R–5 Cumulative Review Exercises
7. Rational Expressions and Functions
   • 6.1 Rational Expressions and Functions; Multiplying and Dividing
   • 6.2 Adding and Subtracting Rational Expressions
   • 6.3 Complex Fractions
   • 6.4 Equations with Rational Expressions and Graphs
     • Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations
   • 6.5 Applications of Rational Expressions
   • 6.6 Variation
   • Chapter 6 Summary
   • Chapter 6 Review Exercises
   • Chapter 6 Mixed Review Exercises
   • Chapter 6 Test
   • Chapters R–6 Cumulative Review Exercises
8. Roots, Radicals, and Root Functions
   • 7.1 Radical Expressions and Graphs
   • 7.2 Rational Exponents
   • 7.3 Simplifying Radicals, the Distance Formula, and Circles
   • 7.4 Adding and Subtracting Radical Expressions
   • 7.5 Multiplying and Dividing Radical Expressions
     • Summary Exercises: Performing Operations with Radicals and Rational Exponents
   • 7.6 Solving Equations with Radicals
   • 7.7 Complex Numbers
   • Chapter 7 Summary
   • Chapter 7 Review Exercises
   • Chapter 7 Mixed Review Exercises
   • Chapter 7 Test
   • Chapters R–7 Cumulative Review Exercises
9. Quadratic Equations, Inequalities, and Functions
   • 8.1 The Square Root Property and Completing the Square
   • 8.2 The Quadratic Formula
   • 8.3 Equations That Lead to Quadratic Methods
     • Summary Exercises: Applying Methods for Solving Quadratic Equations
   • 8.4 Formulas and Further Applications
   • 8.5 Graphs of Quadratic Functions
   • 8.6 More about Parabolas and Their Applications
   • 8.7 Polynomial and Rational Inequalities
   • Chapter 8 Summary
   • Chapter 8 Review Exercises
   • Chapter 8 Mixed Review Exercises
   • Chapter 8 Test
   • Chapters R–8 Cumulative Review Exercises
10. Inverse, Exponential, and Logarithmic Functions
    • 9.1 Inverse Functions
    • 9.2 Exponential Functions
    • 9.3 Logarithmic Functions
    • 9.4 Properties of Logarithms
    • 9.5 Common and Natural Logarithms
    • 9.6 Exponential and Logarithmic Equations; Further Applications
    • Chapter 9 Summary
    • Chapter 9 Review Exercises
    • Chapter 9 Mixed Review Exercises
    • Chapter 9 Test
    • Chapters R–9 Cumulative Review Exercises
11. Nonlinear Functions, Conic Sections, and Nonlinear Systems
    • 10.1 Additional Graphs of Functions
    • 10.2 Circles Revisited and Ellipses
    • 10.3 Hyperbolas and Functions Defined by Radicals
    • 10.4 Nonlinear Systems of Equations
    • 10.5 Second-Degree Inequalities and Systems of Inequalities
    • Chapter 10 Summary
    • Chapter 10 Review Exercises
    • Chapter 10 Mixed Review Exercises
    • Chapter 10 Test
    • Chapters R-10 Cumulative Review Exercises
12. Further Topics in Algebra
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences
    • 11.3 Geometric Sequences
    • 11.4 The Binomial Theorem
    • Chapter 11 Summary
    • Chapter 11 Review Exercises
    • Chapter 11 Mixed Review Exercises
    • Chapter 11 Test
    • Chapters R-11 Cumulative Review Exercises

Appendix A: Synthetic Division

Answers to Selected Exercises

Credits

Index

About our authors

The late Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge’s intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor’s and Master’s degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after 25 years of teaching at the high school and university levels and 15 years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John’s personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John’s other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of 2 sons, Andrew and Tyler.

NOTE: This loose-leaf, three-hole punched version of the textbook gives you the flexibility to take only what you need to class and add your own notes – all at an affordable price. For loose-leaf editions that include MyLabTM or MasteringTM, several versions may exist for each title and registrations are not transferable. You may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

For courses in Intermediate Algebra.

Balancing skills and concepts The Lial Developmental Algebra Series uses a teacherly writing style and a careful blend of skills development and conceptual questions to meet the unique needs of the developmental math student. The author team takes advantage of experiences in the classroom and an editing eye to offer one of the most well-rounded series available, written with the developmental learner in mind. In this revision, the team retains their hallmark writing style, and provides new features and resources to optimize student preparedness and conceptual understanding. The Lial program provides students with the perfect balance of skills and concepts for a student-friendly approach to math.Also available with MyLab Math MyLabTM Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0135281539 / 9780135281536 Intermediate Algebra, Loose-Leaf Version Plus MyLab Math with Pearson eText – Access Card Package Package consists of:

• 0134896408 / 9780134896403 Intermediate Algebra, Loose-Leaf Edition
• 013489684X / 9780134896847 MyLab Math with Pearson eText – Standalone Access Card – for Intermediate Algebra

New and updated features of this title

• Relating Concepts exercises have been increased in this revision. Relating Concepts exercise sets tie the topics together and highlight the relationships among various concepts and skills. They work well for individual or group work.
• What Went Wrong exercises have more than doubled. These ask students to determine an error in a worked problem, to ensure that they understand common mistakes and realize why those errors are incorrect. Identifying and correcting a mistake requires a higher level of critical thinking.
• Study Skills support has been moved up to the front of the text.
• Increased Conceptual exercises ensure that students’ understanding goes beyond rote procedures.
• Expanded Concept Check exercises facilitate students’ conceptual understanding at the start of exercise sets, and often emphasize new vocabulary. 
• Relating Concepts exercises have been increased. Relating Concepts exercise sets tie the topics together and highlight the relationships among various concepts and skills. They work well for individual or group work.

Hallmark features of this title

• Examples with pointers provide tips for on-the-spot notes and cautions about common pitfalls.
• Now Try Exercises are parallel margin exercises for each numbered example. These exercises immediately apply and reinforce the concepts and skills presented in corresponding examples.
• Comprehensive exercise sets balance students’ procedural skills with conceptual understanding.
• End-of-chapter material offers ample opportunity for review, including Key Terms and Symbols, Quick Review summaries, Chapter Review exercises, Mixed Review, and Cumulative Review.
  • Test Your Word Power exercises in each Chapter Summary help students master mathematical vocabulary.
  • Chapter Tests include a fully worked out video solution for every exercise in the Chapter Test.

NOTE: This loose-leaf, three-hole punched version of the textbook gives students the flexibility to take only what they need to class and add their own notes – all at an affordable price.

For courses in Intermediate Algebra.

Balancing skills and concepts

The Lial Developmental Algebra Series uses a teacherly writing style and a careful blend of skills development and conceptual questions to meet the unique needs of the developmental math student. The author team takes advantage of experiences in the classroom and an editing eye to offer one of the most well-rounded series available, written with the developmental learner in mind. In this revision, the team retains their hallmark writing style, and provides new features and resources to optimize student preparedness and conceptual understanding. The Lial program provides students with the perfect balance of skills and concepts for a student-friendly approach to math.

Also available with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

Additional information

Dimensions	1.20 × 8.50 × 10.90 in
Imprint	Pearson
Format	gen
ISBN-13	09780134896403
ISBN-10	0134896408
Author	John Hornsby, Margaret L. Lial, Terry McGinnis
Subjects	mathematics, higher education, Developmental Math, Intermediate Algebra