Video Workbook with Integrated Review for Introductory & Intermediate Algebra

Description

Table of Contents

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.

About the Book

• Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities.
• Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab™ Math course, noted with an “RC”.
• Guided Solution exercises, noted with a “GS” in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-solving steps. Many of the Guided Solutions exercises in the end of section sets are assignable in MyLab Math, and utilize a ‘guided’ functionality in the program. Coverage of these exercises in MyLab Math has been increased in this revision.
• 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. The variety of end-of-section exercise sets provide students with opportunities to practice, apply, connect, and extend the skills they are learning.

• In addition to Chapter Review exercises keyed to sections from the chapter, Chapter Reviews include a full page of dedicated Mixed Review exercises, to help students synthesize concepts.

CONTENT CHANGES

Specific content changes include the following:

• Exercise sets have been updated with a renewed focus on conceptual understanding, skill development, and review. New or revised figures are included wherever possible.
• Real-world data in the examples and exercises has been updated.
• More “word equations” are included in application examples to help students translate words into equations.
• Expanded Chapter R includes new figures and exposition on fractions, as well as new discussion, examples, and exercises on converting between fractions, decimals, and percents.
• Expanded MidChapter
• Summary Exercises in Chapter 2 continue our emphasis on the difference between simplifying expressions and solving equations. The mid-chapter
• Summary Exercises in Chapters 4, 6, 7, and 11 include new examples that illustrate and distinguish between solution methods.
• Separate sections on slope-intercept form and point-slope form now appear in Chapter 3 and include enhanced discussion and new examples and exercises.
• Reorganized Chapter 5 introduces the rules for exponents and application to scientific notation at the beginning of the chapter, followed by the sections on polynomials and their operations.
• Expanded Chapter 7 on rational expressions introduces the material in more sections that now include additional examples and exercise. Emphasis I s given to recognizing equivalent forms of rational expressions.
• Chapter 8, which revisits topics from the first half of the course, includes new Section 8.4 that reviews graphing linear equations in two variables and slope.
• New Chapter 9 now includes the material on functions, function notation, linear functions, and variation.  New Section 9.3 introduces polynomial function, graphs, and operations. Each subsequent chapter in the text presents a new class of functions.
• The following topics are among those that have been enhanced and/or expanded:

• Operations with signed numbers (Sections 1.4—1.6)
• Order of operations involving absolute value expressions (Sections 1.5 and 1.6)
• Solving linear equations in one variable (Sections 2.1 and 2.2)
• Solving linear inequalities with fractions (Section 2.7)
• Graphing linear equations in two variables using intercepts (Section 3.2)
• Solving linear systems of equations using elimination (Section 4.3)
• Dividing a polynomial by a polynomial (Section 5.7)
• Discussion of sums of squares and factoring perfect square trinomials (Section 6.5)
• General Factoring strategies (Section 6.6)
• Solving systems of linear equations in there variables (Section 8.6)
• Multiplying radical expressions (Section 10.5)
• Solving quadratic equations by completing the square (Section 11.2)
• Solving quadratic inequalities (Section 11.7)
• Finding and graphing inverse functions (Section 12.2)
• Graphing systems of linear inequalities (Section 13.5)

About the Book

Student-friendly features to make math accessible

• 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.
• Real-Life Applications with interesting data are used in many new or updated examples and exercises throughout the text. Students are often asked to find data in a table, chart, graph, or advertisement. These applied problems provide an up-to-date flavor that will appeal to and motivate students.
• Learning Objectives begin each section, and all material is keyed to these objectives to let students and instructors know exactly what will be covered.
• Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the-spot reminders and warnings about common pitfalls. Expanded! A popular feature, Pointers have been increased in this edition.
• UPDATED! Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities.
• Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes.
• The new and engaging Chapter Openers portray real-life situations that make math relevant for students.
• Figures and Photos provide visual learners with a presentation of mathematical figures, diagrams, tables, and graphs whenever possible and use a style similar to that seen by students in today’s print and electronic media.
• Calculator Tips are optional tips, marked with a red calculator icon, that offer helpful information and instruction for students using calculators in the course.

Pedagogy that develops conceptual understanding alongside skill development

• 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.
• EXPANDED! Some Concept Checks include What Went Wrong Exercises, which have been expanded in this revision. Earlier editions of the text included exercises designed to help students find and fix errors, but in this edition these exercises have been updated and expanded with explicit instructions to emphasize the importance of this aspect of the learning process. When students can find and correct errors, they are demonstrating a higher level of understanding and conceptual knowledge.
• UPDATED! Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab™ Math course, noted with an “RC”.
• EXPANDED! Guided Solution exercises, noted with a “GS” in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-so

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