Beginning Algebra

Description

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.

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.

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.

• 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. Prealgebra Review
   • R.1 Fractions
   • R.2 Decimals and Percents
2. 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 and Subtracting Real Numbers
   • 1.5 Multiplying and Dividing Real Numbers
     • Summary Exercises: Performing Operations with Real Numbers
   • 1.6 Properties of Real Numbers
   • 1.7 Simplifying Expressions
   • 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 and Inequalities in One Variable
   • 2.1 The Addition Property of Equality
   • 2.2 The Multiplication Property of Equality
   • 2.3 Solving Linear Equations Using Both Properties of Equality
   • 2.4 Clearing Fractions and Decimals When Solving Linear Equations
     • Summary Exercises: Applying Methods for Solving Linear Equations
   • 2.5 Applications of Linear Equations
   • 2.6 Formulas and Additional Applications from Geometry
   • 2.7 Ratio, Proportion, and Percent
   • 2.8 Further Applications of Linear Equations
   • 2.9 Solving Linear Inequalities
   • Chapter 2 Summary
   • Chapter 2 Review Exercises
   • Chapter 2 Mixed Review Exercises
   • Chapter 2 Test
   • Chapters R—2 Cumulative Review Exercises
4. Linear Equations and Inequalities in Two Variables; Functions
   • 3.1 Linear Equations and Rectangular Coordinates
   • 3.2 Graphing Linear Equations in Two Variables
   • 3.3 The Slope of a Line
   • 3.4 Slope-Intercept Form of a Linear Equation
   • 3.5 Point-Slope Form of a Linear Equation and Modeling
     • Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines
   • 3.6 Graphing Linear Inequalities in Two Variables
   • 3.7 Introduction to Functions
   • Chapter 3 Summary
   • Chapter 3 Review Exercises
   • Chapter 3 Mixed Review Exercises
   • Chapter 3 Test
   • Chapters R—3 Cumulative Review Exercises
5. Systems of Linear 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: Applying Techniques for Solving Systems of Linear Equations
   • 4.4 Applications of Linear Systems
   • 4.5 Solving Systems of Linear Inequalities
   • Chapter 4 Summary
   • Chapter 4 Review Exercises
   • Chapter 4 Mixed Review Exercises
   • Chapter 4 Test
   • Chapters R—4 Cumulative Review Exercises
6. Exponents and Polynomials
   • 5.1 The Product Rule and Power Rules for Exponents
   • 5.2 Integer Exponents and the Quotient Rule
   • 5.3 Scientific Notation
   • 5.4 Adding, Subtracting, and Graphing Polynomials
   • 5.5 Multiplying Polynomials
   • 5.6 Special Products
   • 5.7 Dividing Polynomials
   • Chapter 5 Summary
   • Chapter 5 Review Exercises
   • Chapter 5 Mixed Review Exercises
   • Chapter 5 Test
   • Chapters R—5 Cumulative Review Exercises
7. Factoring and Applications
   • 6.1 The Greatest Common Factors; Factoring by Grouping
   • 6.2 Factoring Trinomials
   • 6.3 More on Factoring Trinomials
   • 6.4 Special Factoring Techniques
     • Summary Exercises: Recognizing and Applying Factoring Strategies
   • 6.5 Solving Quadratic Equations Using the Zero-Factor Property
   • 6.6 Applications of Quadratic Equations
   • Chapter 6 Summary
   • Chapter 6 Review Exercises
   • Chapter 6 Mixed Review Exercises
   • Chapter 6 Test
   • Chapters R—6 Cumulative Review Exercises
8. 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: Simplifying Rational Expressions vs. Solving Rational Equations
   • 7.7 Applications of Rational Expressions
   • 7.8 Variation
   • Chapter 7 Summary
   • Chapter 7 Review Exercises
   • Chapter 7 Mixed Review Exercises
   • Chapter 7 Test
   • Chapters R—7 Cumulative Review Exercises
9. 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: Applying Operations with Radicals
   • 8.6 Solving Equations with Radicals
   • Chapter 8 Summary
   • Chapter 8 Review Exercises
   • Chapter 8 Mixed Review Exercises
   • Chapter 8 Test
   • Chapters R—8 Cumulative Review Exercises
10. 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: Applying Methods for Solving Quadratic Equations
    • 9.4 Graphing Quadratic Equations
    • Chapter 9 Summary
    • Chapter 9 Review Exercises
    • Chapter 9 Mixed Review Exercises
    • Chapter 9 Test
    • Chapters R—9 Cumulative Review Exercises

Answers to Selected Exercises

Index

• Additional topics available in MyLabTM Math: Using Rational Numbers as Exponents; Complex Numbers; Sets; Introduction to Calculators

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 Beginning 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.

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 Beginning 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: 0135281547 / 9780135281543 Beginning Algebra, Loose-Leaf Version Plus MyLab Math with Pearson eText – Access Card Package Package consists of

• 0134895959 / 9780134895956 MyLab Math with Pearson eText – Standalone Access Card – for Beginning Algebra
• 0134895878 / 9780134895871 Beginning Algebra, Loose-Leaf Edition

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