Student Solutions Manual for Beginning Algebra

Description

About the Book

• NEW! Career Explorations have been integrated throughout the text and MyMathLab course, enabling students to personally investigate future career options while helping to answer the common question, “When will I ever use this math in the future?”
• Each chapter starts with a Career Opportunities feature that puts the math into context and ends with multiple Career Exploration Problems that are also assignable in MyMathLab.
• UPDATED! Many of the exercises throughout the text have been refreshed, and all of the real-world application problems have been updated.

 

Also available with MyMathLab

MyMathLab^® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

• Expanded Video Program with NEW Guided Learning Videos and an accompanying Video Workbook with the Math Coach:
• NEW! A series of Guided Learning Videosshows how to solve the most important types of problems contained in each chapter in a conceptual, stepped-out way.
• Objective-level video clips have also been added to the MyMathLab course for every objective, with accompanying icons throughout the text.
• Updated and expanded! The Video Workbook with the Math Coach helps students stay organized, follow along, and practice with the Guided Learning and Math Coach videos. It also provides additional practice, vocabulary, and skill reinforcement.
• These video additions expand upon an already rich video lecture series that also includes Section Lecture Videos, Math Coach Videos, and Chapter Test Prep Videos.
• NEW! Career Explorations have been integrated throughout the text and MyMathLab course in an interactive format that contextualizes the math to engage students and get them thinking about future career possibilities. 
• Career Exploration Problems foster active learning and better understanding of the math concepts, and are assignable in MyMathLab.
• NEW! Use Math to Save Money Animations expand on a favorite feature from the text, allowing students to put the math they just learned into context. They are included in the MyMathLab course. Many also include assignable Use Math to Save Money Exercises in MyMathLab that instructors can assign to ensure students watched the animation and understood the concepts.
• Updated! “How Am I Doing?” mid-chapter reviews have been moved from the text to MyMathLab and let students pause at critical junctures to make sure they are “getting it.” Pre-made “How Am I Doing?” mid-chapter review homework assignments make it easy for instructors to assign these mid-chapter reviews. Plus there is also a pre-made end-of-chapter review homework.
• NEW! Learning Catalytics™ Integration: MyMathLab now includes Learning Catalytics, an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Now included with MyLab & Mastering with eText, Learning Catalytics enables you to generate classroom discussion, guide your lecture, and promote peer-to-peer learning with real-time analytics. Pearson-created content for developmental math allows instructors to take advantage of this exciting technology immediately.
• NEW! The Student Success Module includes videos, activities, and post-tests for these three student success areas:
• Math-Reading Connections, including topics such as Using Word Clues and Looking for Patterns.
• Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
• College Success, including topics such as College Transition and Online Learning.
• Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

 

About the Book

Students will find many opportunities to check and reinforce their understanding of concepts throughout each chapter:

• NEW! Career Explorations have been integrated throughout the text and MyMathLab course, enabling students to personally investigate future career options while helping to answer the common question, “When will I ever use this math in the future?”
• Each chapter starts with a Career Opportunities feature that puts the math into context and ends with multiple Career Exploration Problems that are also assignable in MyMathLab.
• Student Practice problems are paired with every example in the text. The full solutions to each practice problem are located in the back of the text, allowing students to check their work as they go.
• End-of-Section Exercises progress from basic to challenging, and each exercise set includes Verbal and Writing Skills, and Mixed Practice exercises.
• UPDATED! Many of the exercises throughout the text have been refreshed, and all of the real-world application problems have been updated.
• A Quick Quiz at the end of each exercise set contains three problems that cover the essential content of that section. This simple assessment tool measures whether students are ready for new material, or need further review.
• A Concept Check question at the end of each Quick Quiz asks students to explain in their own words how and why a method works, forcing them to analyze problems and reflect on the mathematical concepts. All of these are assignable in MyMathLab, and the Concept Check question utilizes the Guided Exercise type.
• Classroom Quizzes in the Annotated Instructor’s Edition parallel every Quick Quiz, which allows instructors to quickly assess the understanding of the class at any point in the chapter.
• The End-of-Chapter Material provides several opportunities for review and reinforcement of key concepts:

• Chapter Organizers summarize the chapter topics, procedures, and corresponding examples all in one place to simplify chapter review. A ”You Try It” column provides another opportunity for practice.
• Assessment Check boxes on the “How Am I Doing?” Chapter Test encourage students to check their work. If students need extra help on any test problems, they can watch the Chapter Test Prep Videos, where all test solutions are worked out on video.

• The Math Coach follows every chapter test and provides helpful hints and coaching on the most difficult concepts and exercise types in that particular chapter. Examples similar to the Math Coach problems have been noted throughout the chapter with side-by-side examples and practice problems that encourage students to try the practice problem on the spot. Students can have an office-hour experience with the authors when they watch the authors solve these key problem types on the Math Coach Videos. These exercises and videos are all assignable in MyMathLab, including bonus exercises that have been newly added to the MyMathLab course; they utilize the Guided Exercise type.

• The Use Math to Save Money feature in the text gives practical, realistic examples in every chapter of how students can use math to cut costs and spend less. Topics were selected based on a survey of more than 1,000 developmental math students. There are accompanying Use Math to Save Money Animations and exercises available in MyMathLab.

 

Also available with MyMathLab

MyMathLab^® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

• Expanded Video Program with NEW Guided Learning Videos and an accompanying Video Workbook with the Math Coach:
• NEW! A series of Guided Learning Videosshows how to solve the most important types of problems contained in each chapter in a conceptual, stepped-out way.
• Objective-level video clips have also been added to the MyMathLab course for every objective, with accompanying icons throughout the text.
• Updated and expanded! The Video Workbook with the Math Coach helps students stay organized, follow along, and practice with the Guided Learning and Math Coach videos. It also provides additional practice, vocabulary, and skill reinforcement.
• These video additions expand upon an already rich video lecture series that also includes Section Lecture Videos, Math Coach Videos, and Chapter Test Prep Videos.
• NEW! Career Explorations have been integrated throughout the text and MyMathLab course in an interactive format that contextualizes the math to engage students and get them thinking about future career possibilities. 
• Career Exploration Problems foster active learning and better understanding of the math concepts, and are assignable in MyMathLab.
• NEW! Use Math to Save Money Animations expand on a favorite feature from the text, allowing students to put the math they just learned into context. They are included in the MyMathLab course. Many also include assignable Use Math to Save Money Exercises in MyMathLab that instructors can assign to ensure students watched the animation and understood the concepts.
• A variety of assignable exercise types are included in the MyMathLab course, and many pre-built homework assignments, quizzes, and tests have been set up for instructor convenience. Instructors will find:
• Pre-made section-level homework assignments.
• Updated! “How Am I Doing?” mid-chapter reviews have been moved from the text to MyMathLab and let students pause at critical junctures to make sure they are “getting it.” Pre-made “How Am I Doing?” mid-chapter review homework assignments make it easy for instructors to assign these mid-chapter reviews. Plus there is also a pre-made end-of-chapter review homework.
• A pre-made pre- and post-test for every chapter, and a pre-made chapter review quiz.
• Expanded! Guided Questions break problems into multiple steps and guide students through solutions, helping them understand not only the steps involved, but the reasoning behind them. This exercise type is used in the Quick Quizzes and Math Coach questions.
• Assignable Quick Quiz exercisesare available for every section. There are four Quick Quiz Exercises per section; the first three questions are skill-oriented, and the fourth question is a Concept Check that utilizes the Guided Question exercise typeto help ensure students understand the conceptual connections for the section.
• Math Coach exercises are available for every chapter, and pre-built Math Coach Homework Assignments make it easy for instructors to assign the entire Math Coach feature to help students with the most difficult concepts in the chapter.
• These are based on Math Coach problems in the text, which follow each Chapter Test, and provide students with a personal office-hour experience by walking them through some helpful hints to keep them from making common errors on test problems.
• Math Coach Videos offer additional help by showing the authors working out the problems.
• The Math Coach exercises in MyMathLab use the Guided Question exercise type, and feature the Math Coach Videos as learning aids. There are even more assignable Math Coach exercises with this edition!
• Students can also use the accompanying Video Workbook with the Math Coach to follow along with the videos and for extra practice.
• Use Math to Save Money Exercises are available to accompany many of the Use Math to Save Money animations in MyMathLab, to ensure students watch the animation and understood the concepts.
• NEW! Learning Catalytics™ Integration: MyMathLab now includes Learning Catalytics, an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Now included with MyLab & Mastering with eText, Learning Catalytics enables you to generate classroom discussion, guide your lecture, and promote peer-to-peer learning with real-time analytics. Pearson-created content for developmental math allows instructors to take advantage of this exciting technology immediately.
• NEW! The Student Success Module includes videos, activities, and post-tests for these three student success areas:
• Math-Reading Connections, including topics such as Using Word Clues and Looking for Patterns.
• Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
• College Success, including topics such as College Transition and Online Learning.
• Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

 

This manual contains completely worked-out solutions for all the odd-numbered exercises in the text.

Preface

Diagnostic Pretest

0. A Brief Review of Arithmetic Skills

• Career Opportunities
• 0.1 Simplifying Fractions
• 0.2 Adding and Subtracting Fractions
• 0.3 Multiplying and Dividing Fractions
• 0.4 Using Decimals
• Use Math to Save Money
• 0.5 Percents, Rounding, and Estimating
• 0.6 Using the Mathematics Blueprint for Problem Solving
• Career Exploration Problems
• Chapter 0 Organizer
• Chapter 0 Review Problems
• How Am I Doing? Chapter 0 Test
• Math Coach

1. Real Numbers and Variables

• Career Opportunities
• 1.1 Adding Real Numbers
• 1.2 Subtracting Real Numbers
• 1.3 Multiplying and Dividing Real Numbers
• 1.4 Exponents
• 1.5 The Order of Operations
• Use Math to Save Money
• 1.6 Using the Distributive Property to Simplify Algebraic Expressions
• 1.7 Combining Like Terms
• 1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
• 1.9 Grouping Symbols
• Career Exploration Problems
• Chapter 1 Organizer
• Chapter 1 Review Problems
• How Am I Doing? Chapter 1 Test
• Math Coach

2. Equations, Inequalities, and Applications

• Career Opportunities
• 2.1 The Addition Principle of Equality
• 2.2 The Multiplication Principle of Equality
• 2.3 Using the Addition and Multiplication Principles Together
• 2.4 Solving Equations with Fractions
• Use Math to Save Money
• 2.5 Translating English Phrases into Algebraic Expressions
• 2.6 Using Equations to Solve Word Problems
• 2.7 Solving Word Problems: The Value of Money and Percents
• 2.8 Solving Inequalities in One Variable
• Career Exploration Problems
• Chapter 2 Organizer
• Chapter 2 Review Problems
• How Am I Doing? Chapter 2 Test
• Math Coach

3. Graphing and Functions

• Career Opportunities
• 3.1 The Rectangular Coordinate System
• 3.2 Graphing Linear Equations
• 3.3 The Slope of a Line
• Use Math to Save Money
• 3.4 Writing the Equation of a Line
• 3.5 Graphing Linear Inequalities
• 3.6 Functions
• Career Exploration Problems
• Chapter 3 Organizer
• Chapter 3 Review Problems
• How Am I Doing? Chapter 3 Test
• Math Coach
• Cumulative Test for Chapters 0–3

4. Systems of Equations

• Career Opportunities
• 4.1 Solving a System of Equations in Two Variables by Graphing
• 4.2 Solving a System of Equations in Two Variables by the Substitution Method
• 4.3 Solving a System of Equations in Two Variables by the Addition Method
• Use Math to Save Money
• 4.4 Review of Methods for Solving Systems of Equations
• 4.5 Solving Word Problems Using Systems of Equations
• Career Exploration Problems
• Chapter 4 Organizer
• Chapter 4 Review Problems
• How Am I Doing? Chapter 4 Test
• Math Coach

5. Exponents and Polynomials

• Career Opportunities
• 5.1 The Rules of Exponents
• 5.2 Negative Exponents and Scientific Notation
• 5.3 Fundamental Polynomial Operations
• Use Math to Save Money
• 5.4 Multiplying Polynomials
• 5.5 Multiplication: Special Cases
• 5.6 Dividing Polynomials
• Career Exploration Problems
• Chapter 5 Organizer
• Chapter 5 Review Problems
• How Am I Doing? Chapter 5 Test
• Math Coach

6. Factoring

• Career Opportunities
• 6.1 Removing a Common Factor
• 6.2 Factoring by Grouping
• 6.3 Factoring Trinomials of the Form x2 + bx + c
• 6.4 Factoring Trinomials of the Form ax2 + bx + c
• Use Math to Save Money
• 6.5 Special Cases of Factoring
• 6.6 A Brief Review of Factoring
• 6.7 Solving Quadratic Equations by Factoring
• Career Exploration Problems
• Chapter 6 Organizer
• Chapter 6 Review Problems
• How Am I Doing? Chapter 6 Test
• Math Coach
• Cumulative Test for Chapters 0–6

7. Rational Expressions and Equations

• Career Opportunities
• 7.1 Simplifying Rational Expressions
• 7.2 Multiplying and Dividing Rational Expressions
• 7.3 Adding and Subtracting Rational Expressions
• Use Math to Save Money
• 7.4 Simplifying Complex Rational Expressions
• 7.5 Solving Equations Involving Rational Expressions
• 7.6 Ratio, Proportion, and Other Applied Problems
• Career Exploration Problems
• Chapter 7 Organizer
• Chapter 7 Review Problems
• How Am I Doing? Chapter 7 Test
• Math Coach

8. Radicals

• Career Opportunities
• 8.1 Square Roots
• 8.2 Simplifying Radical Expressions
• 8.3 Adding and Subtracting Radical Expressions
• 8.4 Multiplying Radical Expressions
• Use Math to Save Money
• 8.5 Dividing Radical Expressions
• 8.6 The Pythagorean Theorem and Radical Equations
• 8.7 Word Problems Involving Radicals: Direct and Inverse Variation
• Career Exploration Problems
• Chapter 8 Organizer
• Chapter 8 Review Problems
• How Am I Doing? Chapter 8 Test
• Math Coach

9. Quadratic Equations

• Career Opportunities
• 9.1 Introduction to Quadratic Equations
• 9.2 Using the Square Root Property and Completing the Square to Find Solutions
• 9.3 Using the Quadratic Formula to Find Solutions
• Use Math to Save Money
• 9.4 Graphing Quadratic Equations
• 9.5 Formulas and Applied Problems
• Career Exploration Problems
• Chapter 9 Organizer
• Chapter 9 Review Problems
• How Am I Doing? Chapter 9 Test
• Math Coach
• Practice Final Examination

Appendices

• A: Practice with Operations of Whole Numbers
• B: The Point–Slope Form of a Line

Photo Credits

Solutions to Student Practice Problems

Answers to Selected Exercises

Glossary

Subject Index

Index of Application (available in MyLab Math)

John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois, in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts, for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.

Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Lexington, Massachusetts, with his wife Shelley and his yellow lab Gracie.

Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the center, and as a result of this effort, has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007, Jamie was appointed to the Team of Basic Skills Specialists by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.

Jennifer Crawford received her BS in mathematics from the University of Minnesota–Duluth in 1995 and her MS in mathematics from the University of Minnesota–Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota, where her focus is working with developmental math students. She lives in Minneapolis, Minnesota, with her husband, two young children, and black lab.

Additional information

Dimensions	0.80 × 8.50 × 10.90 in
Imprint	Pearson
Format	gen
ISBN-13	09780134153353
ISBN-10	0134153359
Author	John Tobey Jr., Jeffrey Slater, Jamie Blair, Jennifer Crawford
Subjects	mathematics, higher education, Developmental Math, Elementary Algebra