Basic Math, Introductory & Intermediate Algebra

Description

 

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 new Lial All in One, Basic Math, Introductory & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution, with approachable writing and pedagogy, varied exercise sets, and robust ancillary resources. A tightly integrated MyMathLab course includes the Lial Video Library, and fresh, interactive PowerPoint slides to meet the changing needs of today’s students and instructors.

ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson’s MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson’s MyLab & Mastering products.

 

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Access codes for Pearson’s MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase.

 

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If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code.

 

Access codes

Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase.

 

 

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 

9780133976830 / 0133976831 MyMathLab for Lial Basic Math, Introductory and Intermediate Algebra — Access Card — PLUS MySlideNotes
Package consists of:
0133931722 / 9780133931723 MySlideNotes for Lial Basic Math, Introductory and Intermediate Algebra  
0321757378 / 9780321757371 MyMathLab CourseCompass Integrated Course Sequence — Standalone Access Card
0321980379 / 9780321980373 Basic Math, 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.

 

Diana Hestwood lives in Minnesota and has taught at Metropolitan Community College in Minneapolis for two decades. She has done research on the student brain and is an expert on study skills. She is the author of Lial/Hestwood’s Prealgebra and coauthor of Lial/Salzman/Hestwood’s Basic Math and Lial/Hestwood/Hornsby/McGinnis’s Prealgebra and Introductory Algebra.

 

Stan Salzman is a long time resident of Sacramento, California. Stan has taught at American River College for many years, where he was a member of the business department. He is the author of Business Math and Essential Math, published by Pearson Education, Inc., and is coauthor of Basic Math.

1. Whole Numbers

1.1 Reading and Writing Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems   

 

2. Multiplying and Dividing Fractions

2.1 Basics of Fractions

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

2.8 Multiplying and Dividing Mixed Numbers

 

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiples

3.3 Adding and Subtracting Unlike Fractions

3.4 Adding and Subtracting Mixed Numbers

3.5 Order Relations and the Order of Operations

 

4. Decimals

4.1 Reading and Writing Decimal Numbers

4.2 Rounding Decimal Numbers

4.3 Adding and Subtracting Decimal Numbers

4.4 Multiplying Decimal Numbers

4.5 Dividing Decimal Numbers

4.6 Fractions and Decimals

 

5. Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

5.5 Solving Application Problems with Proportions

 

6. Percent

6.1 Basics of Percent

6.2 Percents and Fractions

6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem

6.4 Using Proportions to Solve Percent Problems

6.5 Using the Percent Equation

6.6 Solving Application Problems with Percent

6.7 Simple Interest

 

7. Measurement

7.1 Problem Solving with U.S. Measurement Units

7.2 The Metric System – Length

7.3 The Metric System – Capacity and Weight (Mass)

7.4 Problem Solving with Metric Measurement

7.5 Metric—U.S. Measurement Conversions and Temperature

 

8. Geometry

8.1 Basic Geometric Terms

8.2 Angles and Their Relationships

8.3 Rectangles and Squares

8.4 Parallelograms and Trapezoids

8.5 Triangles

8.6 Circles

8.7 Volume

8.8 Pythagorean Theorem

8.9 Similar Triangles

 

9. Introduction to Basic Algebra

9.1 Signed Numbers

9.2 Adding and Subtracting Signed Numbers

9.3 Multiplying and Dividing Signed Numbers

9.4 Order of Operations

9.5 Evaluating Expressions and Formulas

9.6 Solving Equations

9.7 Solving Equations with Several Steps

9.8 Using Equations to Solve Application Problems

 

10. Statistics

10.1 Circle Graphs

10.2 Bar Graphs and Line Graphs

10.3 Frequency Distributions and Histograms

10.4 Mean, Median, and Mode

 

11. The Real Number System

11.1 Exponents, Order of Operations, and Inequality

11.2 Variables, Expressions, and Equations

11.3 Real Numbers and the Number Line

11.4 Adding Real Numbers

11.5 Subtracting Real Numbers

11.6 Multiplying and Dividing Real Numbers

11.7 Properties of Real Numbers

11.8 Simplifying Expressions

 

12. Equations, Inequalities, and Applications

12.1 The Addition Property of Equality

12.2 The Multiplication Property of Equality

12.3 More on Solving Linear Equations

12.4 An Introduction to Applications of Linear Equations

12.5 Formulas and Additional Applications from Geometry

12.6 Ratio, Proportion, and Percent

12.7 Solving Linear Inequalities

 

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

13.1 Linear Equations in Two Variables; The Rectangular Coordinate System

13.2 Graphing Linear Equations in Two Variables

13.3 The Slope of a Line

13.4 Writing and Graphing Equations of Lines

13.5 Graphing Linear Inequalities in Two Variables

13.6 Introduction to Relations and Functions

13.7 Function Notation and Linear Functions

 

14. Systems of Linear Equations and Inequalities

14.1 Solving Systems of Linear Equations by Graphing

14.2 Solving Systems of Linear Equations by Substitution

14.3 Solving Systems of Linear Equations by Elimination

14.4 Applications of Linear Systems

14.5 Solving Systems of Linear Inequalities

 

15. Exponents and Polynomials

15.1 Adding and Subtracting Polynomials

15.2 The Product Rule and Power Rules for Exponents

15.3 Multiplying Polynomials

15.4 Special Products

15.5 Integer Exponents and the Quotient Rule

15.6 Dividing a Polynomial by a Monomial

15.7 Dividing a Polynomial by a Polynomial

15.8 An Application of Exponents: Scientific Notation

 

16. Factoring and Applications

16.1 Factors; The Greatest Common Factor

16.2 Factoring Trinomials

16.3 Factoring Trinomials by Grouping

16.4 Factoring Trinomials by Using the FOIL Method

16.5 Special Factoring Techniques

16.6 A General Approach to Factoring

16.7 Solving Quadratic Equations by Factoring

16.8 Applications of Quadratic Equations

 

17. Rational Expressions and Functions

17.1 Rational Expressions and Functions; Multiplying and Dividing

17.2 Adding and Subtracting Rational Expressions

17.3 Complex Fractions

17.4 Equations with Rational Expressions and Graphs

17.5 Applications of Rational Expressions

17.6 Variation

 

18. Equations, Inequalities, and Systems Revisited

18.1 Review of Solving Linear Equations and Inequalities

18.2 Set Operations and Compound Inequalities

18.3 Absolute Value Equations and Inequalities

18.4 Review of Systems of Linear Equations in Two Variables

18.5 Systems of Linear Equations in Three Variables; Applications

 

19. Roots, Radicals, and Root Functions

19.1 Radical Expressions and Graphs

19.2 Rational Exponents

19.3 Simplifying Radical Expressions

19.4 Adding and Subtracting Radical Expressions

19.5 Multiplying and Dividing Radical Expressions

19.6 Solving Equations with Radicals

19.7 Complex Numbers

 

20. Quadratic Equations, Inequalities, and Functions

20.1 Solving Quadratic Equations by the Square Root Property

20.2 Solving Quadratic Equations by Completing the Square

20.3 Solving Quadratic Equations by the Quadratic Formula

20.4 Equations Quadratic in Form

20.5 Formulas and Applications

20.6 Graphs of Quadratic Functions

20.7 More about Parabolas and Their Applications

20.8 Polynomial and Rational Inequalities

 

21. Inverse, Exponential, and Logarithmic Functions

21.1 Operations on Functions and Composition

21.2 Inverse Functions

21.3 Exponential Functions

21.4 Logarithmic Functions

21.5 Properties of Logarithms

21.6 Common and Natural Logarithms

21.7 Exponential and Logarithmic Equations and Their Applications

 

22. Nonlinear Functions, Conic Sections, and Nonlinear Systems

22.1 Additional Graphs of Functions; Operations and Composition

22.2 The Circle and the Ellipse

22.3 The Hyperbola and Other Functions Defined by Radicals

22.4 Nonlinear Systems of Equations

22.5 Second-Degree Inequalities and Systems of Inequalities

 

Appendix A. Inductive and Deductive Reasoning

Appendix B. Solving Systems of Linear Equations by Matrix Methods

Appendix C. Synthetic Division

 

The Support You Need to Succeed…Even On the Go!

 

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 new Lial All in One, Basic Math, Introductory & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution, with approachable writing and pedagogy, varied exercise sets, and robust ancillary resources. A tightly integrated MyMathLab course includes the Lial Video Library, and fresh, interactive PowerPoint slides to meet the changing needs of today’s students and instructors.

 

Teaching and Learning Experience

To provide a better teaching and learning experience, for both instructors and students, this program will:

• Improve Results: MyMathLab^® delivers improving results in helping students succeed and provides engaging experiences that personalize learning.
• Drive Student Success: The Lial team combines approachable writing with supportive pedagogy, ample exercise sets, and extensive end-of-chapter material to ensure student success.
• Support Students and Instructors: Beyond the core support in the text and MyMathLab, the program offers additional supplemental student and instructor support.
• Provide an All in One Solution with Print Support:The course is a complete All in One MyMathLab solution with everything needed for Basic Math, Introductory and Intermediate Algebra. Additionally, the MySlideNotes is available for additional learning support and a printed version of the text can be ordered via Pearson Learning Solutions.

 

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 

9780133976830 / 0133976831 MyMathLab for Lial Basic Math, Introductory and Intermediate Algebra — Access Card — PLUS MySlideNotes

Improve Results: MyMathLab^® delivers improving 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:

• Two MyMathLab course options are 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 guide students through the first few solution steps. These appear in the text margins and exercise sets 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 navigation menu by example and objective.
• Solutions Clips show an instructor working through complete solutions. Available for select exercises, these are marked with a Play Button icon in the text and eText.
• 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.
• 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 is available.
• Interactive Test Your Word Power exercises help students master math vocabulary.
• 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.
• Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and cover a wide 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.
• Guided Solutions show the first steps to guide students as they learn a new procedure. These appear in margins and exercise sets, are marked with a GS, and are assignable in MyMathLab.
• 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.
• Concept Checks ensure students have the skills to proceed, and later, help students consolidate learning by writing, correcting errors, and practicing processes. These appear at the start of exercise sets.
• Relating Concepts exercises help students tie concepts together. These 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

• The MySlideNotes notebook provides a note-taking tool based on the PowerPoint slides that accompany the 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 Review, and Chapter Test exercises.

 

For Instructors

• Teaching Tips in the margins of the Annotated Instructor’s Edition, available in MyMathLab, 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.

 

PROVIDE AN ALL IN ONE SOLUTION WITH PRINT SUPPORT

This All in One has everything for Basic Math, Introductory Algebra, and Intermediate Algebra in one easy-to-use solution. In addition to a full eText in MyMathLab, two printed options are available to provide additional support.

• The MySlideNotes workbook is available in print and in MyMathLab, and can be packaged with a text or MyMathLab code.
• A complete eText is included in the MyMathLab course. Instructors who want to provide a printed book for their students can order this through Pearson Learning Solutions.

 

Additional information

Dimensions	2.55 × 8.80 × 11.50 in
Imprint	Pearson
Format	gen
ISBN-13	09780321980373
ISBN-10	0321980379
Author	John Hornsby, Margaret L. Lial, Terry McGinnis, Stanley A. Salzman, Diana L. Hestwood
Subjects	mathematics, higher education, Developmental Math, Combo: All in One