Introductory and Intermediate Algebra

Description

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

Study Skills: Using Your Math Textbook

Study Skills: Reading Your Math Textbook

1. The Real Number System

1.1 Exponents, Order of Operations, and Inequality

Study Skills: Taking Lecture Notes

1.2 Variables, Expressions, and Equations

Study Skills: Tackling Your Homework

1.3 Real Numbers and the Number Line

Study Skills: Using Study Cards

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numbers

Summary Exercises Performing Operations with Real Numbers

1.7 Properties of Real Numbers

Study Skills: Reviewing a Chapter

1.8 Simplifying Expressions

Study Skills: Taking Math Tests

2. Equations, Inequalities, and Applications

2.1 The Addition Property of Equality

Study Skills: Managing Your Time

2.2 The Multiplication Property of Equality

Study Skills: Analyzing Your Test Results

2.3 More on Solving Linear Equations

Study Skills: Using Study Cards Revisited

Summary Exercises Applying Methods for Solving Linear Equations

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

Summary Exercises Applying Problem-Solving Techniques

2.7 Solving Linear Inequalities

3. Graphs of Linear Equations and Inequalities in Two Variables; Functions

3.1 Linear Equations in Two Variables; The Rectangular Coordinate System

Study Skills: Preparing for Your Math Final

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Writing and Graphing Equations of Lines

Summary Exercises Applying Graphing and Equation-Writing Techniques for Lines

3.5 Graphing Linear Inequalities in Two Variables

3.6 Introduction to Relations and Functions

3.7 Function Notation and Linear Functions

4. 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

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 Applying the Rules for Exponents

5.6 Dividing a Polynomial by a Monomial

5.7 Dividing a Polynomial by a Polynomial

5.8 An Application of Exponents: Scientific Notation

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 by Using the FOIL Method

6.5 Special Factoring Techniques

6.6 A General Approach to Factoring

6.7 Solving Quadratic Equations by Factoring

6.8 Applications of Quadratic Equations

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. Equations, Inequalities, and Systems Revisited

8.1 Review of Solving Linear Equations and Inequalities

8.2 Set Operations and Compound Inequalities

8.3 Absolute Value Equations and Inequalities

Summary Exercises Solving Linear and Absolute Value Equations and Inequalities

8.4 Review of Systems of Linear Equations in Two Variables

8.5 Systems of Linear Equations in Three Variables; Applications

9. Roots, Radicals, and Root Functions

9.1 Radical Expressions and Graphs

9.2 Rational Exponents

9.3 Simplifying Radical Expressions

9.4 Adding and Subtracting Radical Expressions

9.5 Multiplying and Dividing Radical Expressions

Summary Exercises Performing Operations with Radicals and Rational Exponents

9.6 Solving Equations with Radicals

9.7 Complex Numbers

10. Quadratic Equations, Inequalities, and Functions

10.1 Solving Quadratic Equations by the Square Root Property

10.2 Solving Quadratic Equations by Completing the Square

10.3 Solving Quadratic Equations by the Quadratic Formula

10.4 Equations Quadratic in Form

Summary Exercises Applying Methods for Solving Quadratic Equations

10.5 Formulas and Applications

10.6 Graphs of Quadratic Functions

10.7 More about Parabolas and Their Applications

10.8 Polynomial and Rational Inequalities

11. Inverse, Exponential, and Logarithmic Functions

11.1 Operations on Functions and Composition

11.2 Inverse Functions

11.3 Exponential Functions

11.4 Logarithmic Functions

11.5 Properties of Logarithms

11.6 Common and Natural Logarithms

11.7 Exponential and Logarithmic Equations and Their Applications

12. Nonlinear Functions, Conic Sections, and Nonlinear Systems

12.1 Additional Graphs of Functions; Operations and Composition

12.2 The Circle and the Ellipse

12.3 The Hyperbola and Other Functions Defined by Radicals

12.4 Nonlinear Systems of Equations

12.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)
Appendix B: Solving Systems of Linear Equations by Matrix Methods
Appendix C: Synthetic Division
Answers to Selected Exercises
Solutions to Selected Exercises
Index

IMPROVE RESULTS

MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning. The Lial courses include all of MyMathLab’s robust features, plus these additional highlights:

• NEW! Two MyMathLab course options are now available:

• Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
• New Ready-to-Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started.
• Both Lial course options include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, Summary Exercise Homework assignments, and chapter review quiz linked to personalized homework. These items are also pre-assigned in the Ready-to-Go courses.

• NEW! Guided Solution Exercises in the text margins and exercise sets guide students through the first few solution steps and are marked with a GS icon. To take this a step further, these new types of exercises are assignable in MyMathLab.

• NEW! The Lial Video Library includes the following resources, which all offer optional English and Spanish captioning:

• Section Lecture Videos offer a new navigation menu by example and objective.
• Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through complete solutions.
• Quick Review Lectures provide a summary of key concepts for each chapter.
• Chapter Test Prep Videos show solutions for Chapter Test exercises. They are also accessible by the Quick Response (QR) code on the inside back cover of the book or on YouTube.

• UPDATED AND EXPANDED! PowerPoint^® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available for viewing on tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.
• NEW! MySlideNotes files are posted in MyMathLab and available to be printed.
• NEW! Assignable Study Skills and Reading Connection material has been added.
• NEW! Improved parallel matched exercises offer more equivalent odd and even exercises for easier assignment creation.
• Interactive Test Your Word Power exercises help students master math vocabulary.
• NEW! Accessibility enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader, enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include subtitles.

 

DRIVE STUDENT SUCCESS

Supportive pedagogy, ample exercises, and extensive end-of-chapter material ensure success.

• Learning Objectives are stated for each section, and material is organized by objective.
• NEW! Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences.
• An emphasis on problem solving is introduced and integrated as a six-step process.
• 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.
• NEW! Guided Solutions in margins and exercise sets, marked with a GS and assignable in MyMathLab, show the first steps to guide students as they learn a new procedure.
• Summary Exercises are a mid-chapter review included in every chapter.
• Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the spot information.
• Study Skills activities provide students with proven strategies for learning math.
• Math in the Media activities show relevance and work well for collaboration or discussions.
• Varied problems in end-of-section exercise sets include skill, writing, estimation, calculator, applications, and correct-the-error.
• NEW! Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes.
• Relating Concepts exercises help students tie concepts together and make good group activities.
• Solutions to exercises marked with a blue square are included in the back of the book to provide easily accessible step-by-step help in solving the most commonly missed exercises.
• Chapter Summary includes terms with definitions and graphics, New Formulas and Symbols, Test Your Word Power, and Quick Review for each section with extra examples.
• Chapter Test allows students to prepare for the real thing. Students can watch an instructor work out the full solutions to the problems in the Chapter Test Prep Videos.

 

SUPPORT STUDENTS AND INSTRUCTORS

Beyond the robust core text and MyMathLab support, the program offers additional support resources.

 

For Students

• NEW! MyWorkBook can be accessed within MyMathLab or packaged with the text or MyMathLab code, and provides the following resources for every section:
• Key vocabulary terms, and vocabulary practice problems
• Guided Examples and similar Practice Exercises, keyed to the text Objectives
• References to Examples, Section Lecture Videos, and Solutions Clips for more help
• Additional Practice Exercises with ample space for students to show their work
• NEW! The MySlideNotes notebook provides a note-taking tool based on the PowerPoint slides that accompany your text.
• Extra examples let students apply the concepts and procedures on the slides.
• Guided solutions break problems into small, manageable steps.
• Vocabulary practice ensures that students have a firm grasp of the key new terms.
• Student’s Solutions Manual contains solutions to odd-numbered section exercises and all margin exercises, Relating Concepts, Summary, Chapter and Cumulative Review, and Chapter Test exercises.

 

For Instructors

• NEW! Teaching Tips have been added to margins of the Annotated Instructor’s Edition to help new and experienced instructors with class prep.
• The Instructor’s Resource Manual includes Mini-Lectures to provide new instructors with objectives, key examples, and teaching tips for every section of the text.
• The Instructor’s Solutions Manual provides solutions to all exercises in the text.

 

IMPROVE RESULTS

The Lial courses include all of MyMathLab’s robust features, plus these additional NEW highlights:

• Two MyMathLab course options are now available:
• Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
• New Ready-to-Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started.

• Both Lial course options include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, Summary Exercise Homework assignments, and chapter review quiz linked to personalized homework.  These items are also pre-assigned in the Ready-to-Go courses.

• Guided Solution Exercises in the text margins and exercise sets guide students through the first few solution steps and are marked with a GS icon. To take this a step further, these new types of exercises are assignable in MyMathLab.
• The Lial Video Library includes the following resources, which all offer optional English and Spanish captioning:

• Section Lecture Videos offer a new navigation menu by example and objective.
• Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through complete solutions.
• Quick Review Lectures provide a summary of key concepts for each chapter.
• Chapter Test Prep Videos show solutions for Chapter Test exercises. They are also accessible by the Quick Response (QR) code on the inside back cover of the book or on YouTube.

• UPDATED AND EXPANDED! PowerPoint^® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available for viewing on tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.
• MySlideNotes files are posted in MyMathLab and available to be printed.
• Assignable Study Skills and Reading Connection material has been added.
• Improved parallel matched exercises offer more equivalent odd and even exercises for easier assignment creation.
• Accessibility enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader, enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include subtitles.

 

DRIVE STUDENT SUCCESS

NEW features to supportive pedagogy, ample exercise sets, and extensive end-of-chapter material ensure success.

• Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences.
• Vocabulary Tips in the margins help students learn root words and prefixes.
• Guided Solutions in margins and exercise sets, marked with a GS and assignable in MyMathLab, show the first steps to guide students as they learn a new procedure.
• Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes.

 

SUPPORT STUDENTS AND INSTRUCTORS

For Students

• MyWorkBook can be accessed within MyMathLab or packaged with the text or MyMathLab code, and provides the following resources for every section:
• Key vocabulary terms, and vocabulary practice problems
• Guided Examples and similar Practice Exercises, keyed to the text Objectives
• References to Examples, Section Lecture Videos, and Solutions Clips for more help
• Additional Practice Exercises with ample space for students to show their work
• The MySlideNotes workbook provides a note-taking tool based on the PowerPoint slides that accompany your text.
• Extra examples let students apply the concepts and procedures on the slides.
• Guided solutions break problems into small, manageable steps.
• Vocabulary practice ensures that students have a firm grasp of the key new terms.
• UPDATED AND EXPANDED! PowerPoint^® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available in JavaScript for viewing on smartphones and tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.

 

For Instructors

• Teaching Tips have been added to margins of the Annotated Instructor’s Edition to help new and experienced instructors with class prep.

 

Content Changes

• We gave the exercise sets special attention. There are approximately 585 new and updated exercises, including problems that check conceptual understanding, focus on skill development, and provide review. We also worked to improve the even-odd pairing of exercises.
• Real-world data in over 200 applications in the examples and exercises has been updated.
• We increased the emphasis on checking solutions and answers, as indicated by a new CHECK tag and in the exposition and examples.
• In preparation for Chapter 3 and the material on forms of linear equations, Section 2.5 provides a new example and corresponding exercises on solving a linear equation in two variables x and y for y.
• Section 2.6 includes entirely new discussion and examples on percent, percent equations, and percent applications, plus corresponding exercises.
• Section 3.4 on writing and graphing equations of lines provides increased development and coverage of the solpe-intercept form, including two new examples. There is an enhanced objective on writing equations of horizontal and vertical lines.
• The former section Introduction to Functions has been divided into two sections for more flexible coverage. Section 3.6 has increased discussion of determining domain, and Section 3.7 includes more on finding function values from a graph. Both exercise sets have been expanded.
• Sections. 6.2—6.4 include three new examples on factoring trinomials.
• The discussion of recognizing the graph of a rational function in Section 7.4 has been expanded.
• Section 9.6 includes a new objective on using the power rule to solve a formula for a specified variable.
• The discussion of operations with and composition of functions has been moved to precede that of inverse functions. These topics now appear in new Section 11.1.
• The following topics are among those that have been enhanced and/or expanded:
• Using and completing tables when solving applications (throughout)
• Dividing real numbers involving zero (Section 1.6)
• Applying the properties of real numbers (Section 1.7)
• Solving applications involving consecutive integers and angle measures (Section 2.4)
• Using interval notation and solving linear inequalities (Section 2.7)
• Graphing linear equations in two variables using intercepts (Section 3.2)
• Solving systems of equations with decimal coefficients (Section 4.2)
• Finding numerical values of rational expressions and values for which rational expressions are undefined (Section 7.1)
• Emphasizing identification of the vertex, axis of symmetry, domain, and range of graphs of quadratic functions (Section 10.6)
• Graphing ellipses and hyperbolas whose centers are translated away from the origin (Sections 12.2 and 12.3)

 

The Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.

The Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.

NOTE: This is the standalone book, if you want the book/access card order the ISBN below:

0321900367 / 9780321900364 Introductory and Intermediate Algebra plus NEW MyMathLab with Pearson eText — Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab — Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321865537 / 9780321865533 Introductory and Intermediate Algebra

Marge Lial (late) became interested in math at an early age–it was her favorite subject in the first grade! Marge’s intense desire to educate both her students and herself 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. She was particularly interested in archeology; trips to various digs and ruin sites produced 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. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.

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). He has been a rabid 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 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 that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. 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.

Additional information

Dimensions	2.30 × 8.55 × 10.85 in
Imprint	Pearson
Format	gen
ISBN-13	09780321865533
ISBN-10	0321865537
Author	John Hornsby, Margaret L. Lial, Terry McGinnis
Subjects	mathematics, higher education, Developmental Math, Combo: Elementary and Intermediate