Beginning and 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.

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• 0134895991 / 9780134895994 Beginning and Intermediate Algebra
• 0134896947 / 9780134896946 MyLab Math with Pearson eText - Standalone Access Card - for Beginning and Intermediate Algebra

Marge Lial (late) 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 twenty-five years of teaching at the high school and university levels and fifteen 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 two sons, Andrew and Tyler.

Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks where she earned a bachelor’s degree in Secondary Mathematics Education. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri—Rolla, the second in Adult Education from the University of Missouri—St. Louis. Her professional interests include improving success in the community college mathematics sequence, using technology to enhance students’ understanding of mathematics, and creating materials that support classroom teaching and student understanding. She is able to pursue these interests as a contributor on the Lial Developmental Math series, and a co-author on the Precalculus series.

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

R. Prealgebra Review

R.1 Fractions
R.2 Decimals and Percents
           
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 and Subtracting Real Numbers
1.5 Multiplying and Dividing Real Numbers

Summary Exercises: Performing Operations with Real Numbers

Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 TestChapters R and 1 Cumulative Review Exercises

2. 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

Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R–2 Cumulative Review Exercises

Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R–3 Cumulative Review Exercises

4. Exponents and Polynomials
4.1 The Product Rule and Power Rules for Exponents
4.2 Integer Exponents and the Quotient Rule

Summary Exercises: Applying the Rules for Exponents

Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R–4 Cumulative Review Exercises

Summary Exercises: Recognizing and Applying Factoring Strategies

Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review Exercises
Chapter 5 Test
Chapters R–5 Cumulative Review Exercises

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R–6 Cumulative Review Exercises

Summary Exercises: Applying Techniques for Solving Systems of Linear Equations

Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R–7 Cumulative Review Exercises

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R–8 Cumulative Review Exercises

9. Relations and Functions
9.1 Introduction to Relations and Functions
9.2 Function Notation and Linear Functions
9.3 Polynomial Functions, Operations, and Composition
9.4 Variation

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R–9 Cumulative Review Exercises

10. Roots, Radicals, and Root Functions
10.1 Radical Expressions and Graphs
10.2 Rational Exponents
10.3 Simplifying Radicals, the Distance Formula, and Circles
10.4 Adding and Subtracting Radical Expressions
10.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Mixed Review Exercises

Chapter 10 Test

Chapters R–10 Cumulative Review Exercises

11. Quadratic Equations, Inequalities, and Functions
11.1 Solving Quadratic Equations by the Square Root Property
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by the Quadratic Formula
11.4 Equations That Lead to Quadratic Methods

Summary Exercises: Applying Methods for Solving Quadratic Equations

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Mixed Review Exercises

Chapter 11 Test

Chapters R–11 Cumulative Review Exercises

12. Inverse, Exponential, and Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Common and Natural Logarithms

12.6 Exponential and Logarithmic Equations; Further Applications

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Mixed Review Exercises

Chapter 12 Test

Chapters R–12 Cumulative Review Exercises

13. Nonlinear Functions, Conic Sections, and Nonlinear Systems
13.1 Additional Graphs of Functions
13.2 Circles Revisited and Ellipses
13.3 Hyperbolas and Functions Defined by Radicals
13.4 Nonlinear Systems of Equations
13.5 Second-Degree Inequalities and Systems of Inequalities

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Mixed Review Exercises

Chapter 13 Test

Chapters R—13 Cumulative Review Exercises

14. Further Topics in Algebra
14.1 Sequences and Series
14.2 Arithmetic Sequences
14.3 Geometric Sequences
14.4 The Binomial Theorem

Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Mixed Review Exercises
Chapter 14 Test
Chapters R--14 Cumulative Review Exercises

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