Student Solutions Manual for Developmental Mathematics: Basic Mathematics and Algebra

Student Solutions Manual for Developmental Mathematics: Basic Mathematics and Algebra - Margaret L. Lial - 9780134541365 (120)
Series
Pearson
Author
Margaret L. Lial / John Hornsby / Terry McGinnis / Stanley A. Salzman / Diana L. Hestwood  
Publisher
Pearson
Cover
Softcover
Edition
4
Language
English
Total pages
688
Pub.-date
September 2017
ISBN13
9780134541365
ISBN
0134541367


Product detail

Product Price CHF Available  
9780134541365
Student Solutions Manual for Developmental Mathematics: Basic Mathematics and Algebra
73.30 approx. 7-9 days

Free evaluation copy for lecturers


Description

The manual provides detailed solutions to the odd-numbered section-level exercises and to all margin, Relating Concepts, Summary, Chapter Review, Chapter Test, and Cumulative Review Exercises.


Features

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.
  • NEW! Study Skills Reminders have been integrated and strategically placed throughout the text to encourage students to revisit the Study Skills activity most appropriate at that point.
  • 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-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.
  • An emphasis on problem solving is introduced and integrated as a six-step process for solving application problems: Read, Plan, Estimate, Solve, State the Answer, and Check.
  • UPDATED! 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.
    • Step-by-step worked-out solutions to selected section exercises are available in MyLab Math for exercise numbers enclosed in a blue square. These solutions are given for selected exercises that most commonly cause students difficulty.
  • End of Chapter material includes a Chapter Summary with terms with definitions and graphics, New Formulas and Symbols, Test Your Word Power, and Quick Review for each section with extra examples.
    • Test Your Word Power, incorporated into each Chapter Summary, helps students understand and master mathematical vocabulary. Key terms from the chapter are presented along with three possible definitions in a multiple-choice format. Answers and examples illustrating each term are provided.
    • EXPANDED! 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.
    • Chapter Test allows students to prepare for the real thing. Students can watch an instructor work out the full solutions to each Chapter Test problem in the Chapter Test Prep Videos.

 

Printed Support for Students

  • The Lial Video Workbook is a note-taking guide to help students develop organized notes as they work along with the videos in the course. The notebook includes
    • Guided Examples that mirror the problems in the Lial Section Lecture Videos and/or Objective-Level Video clips, plus corresponding Now Try This exercises for each text objective.
    • Extra practice exercises for every section of the text, with ample space for students to show their work.
    • Learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems.

Also available with MyLab Math

MyLab™ Math 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.

  • New exercise types and functionality give instructors an abundance of choice for assignment creation, and ensure that students’ practice in their MyLab Math course gives them a well-rounded understanding of concepts and procedures.
    • EXPANDED! Guided Solution Exercises are assignable in MyLab Math. These exercises are noted with a GS icon in the section exercise sets, and a GS notation in the Assignment Manager. Coverage of Guided Solution exercises has been increased in this revision. These exercises allow instructors to assess student understanding of the problem-solving process, rather than completing the steps by rote, and to also keep students on the right track as they work through the problem-solving steps.
    • EXPANDED! Relating Concepts exercises in the text help students make connections and problem-solve at a higher level. These sets are assignable in MyLab Math, with expanded coverage in this revision.
    • NEW! Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.
    • NEW! Skill Builder assignments offer adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
    • Premade sample assignments are available in the Assignment Manager, and include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, and chapter review quiz linked to personalized homework.
  • A variety of resources bring the hallmark Lial pedagogy and approach into the MyLab Math course.
    • UPDATED! The extensive Lial video program makes the MyLab Math course a true learning environment, and gives students support right when they need it, wherever they need it. The variety of videos give instructors flexibility - different types of videos allow for different learning environments, such as a flipped classroom or lab, and different assignment types. Many of the videos have been updated in this revision to more closely match the exercises from the text, in a more modern presentation format. Videos available include the following, which all offer optional English and Spanish captioning:
      • Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through the complete solution to that exact problem.
      • Objective-level videos are short, bite-size chunks taken from the section lecture videos. Students often will not watch a video longer than 5 minutes, so objective-level videos give just the right amount of content to keep their attention.
      • Section Lecture Videos are available for every section, and offer a navigation menu by example and objective.
      • Quick Review Lectures provide a summary of key concepts for each chapter.
      • Chapter Test Prep Videos show solutions for all Chapter Test exercises. They can also be accessed on YouTube.
    • NEW! The Lial Video Workbook corresponds to the videos, and gives students a place to record the examples from the videos and try problems on their own.
    • NEW! Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
      • In addition to a library of premade developmental math questions in Learning Catalytics, the authors have included suggested Learning Catalytics questions, drawing on prerequisite skills, at the start of each section to check student preparedness for the new material. These questions are available  as annotations in the Annotated Instructor Edition - check out the Instructor Resources tab in MyLab Math to learn more.
  • NEW! In addition to assignable Study Skills and Reading Connection material, new Mindset material has been added to the course. This content encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity - so often a major hurdle for developmental math students.
  • 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.

New to this Edition

About the Book

 

  • NEW! Study Skills Reminders have been integrated and strategically placed throughout the text to encourage students to revisit the Study Skills activity most appropriate at that point.
  • 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-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.
  • UPDATED! 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.
  • EXPANDED! 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. 

Also available with MyLab Math

MyLab™ Math 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.

  • New exercise types and functionality give instructors an abundance of choice for assignment creation, and ensure that students’ practice in their MyLab Math course gives them a well-rounded understanding of concepts and procedures.
    • Guided Solution Exercises are assignable in MyLab Math. These exercises are noted with a GS icon in the section exercise sets, and a GS notation in the Assignment Manager. Coverage of Guided Solution exercises has been increased in this revision. These exercises allow instructors to assess student understanding of the problem-solving process, rather than completing the steps by rote, and to also keep students on the right track as they work through the problem-solving steps.
    • Relating Concepts exercises in the text help students make connections and problem-solve at a higher level. These sets are assignable in MyLab Math, with expanded coverage in this revision.
    • Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.
    • Skill Builder assignments offer adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
  • A variety of resources bring the hallmark Lial pedagogy and approach into the MyLab Math course.
    • The extensive Lial video program makes the MyLab Math course a true learning environment, and gives students support right when they need it, wherever they need it. The variety of videos give instructors flexibility - different types of videos allow for different learning environments, such as a flipped classroom or lab, and different assignment types. Many of the videos have been updated in this revision to more closely match the exercises from the text, in a more modern presentation format. Videos available include the following, which all offer optional English and Spanish captioning:
      • Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through the complete solution to that exact problem.
      • Objective-level videos are short, bite-size chunks taken from the section lecture videos. Students often will not watch a video longer than 5 minutes, so objective-level videos give just the right amount of content to keep their attention.
      • Section Lecture Videos are available for every section, and offer a navigation menu by example and objective.
      • Quick Review Lectures provide a summary of key concepts for each chapter.
      • Chapter Test Prep Videos show solutions for all Chapter Test exercises. They can also be accessed on YouTube.
    • The Lial Video Workbook corresponds to the videos, and gives students a place to record the examples from the videos and try problems on their own.
    • Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
      • In addition to a library of premade developmental math questions in Learning Catalytics, the authors have included suggested Learning Catalytics questions, drawing on prerequisite skills, at the start of each section to check student preparedness for the new material. These questions are available as annotations in the Annotated Instructor Edition - check out the Instructor Resources tab in MyLab Math to learn more.
  • In addition to assignable Study Skills and Reading Connection material, new Mindset material has been added to the course. This content encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity - so often a major hurdle for developmental math students.
  • 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.

Table of Contents

Preface

 

CHAPTER 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

 

CHAPTER 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

 

CHAPTER 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

 

CHAPTER 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

 

CHAPTER 5 Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

5.5 Solving Application Problems with Proportions

 

CHAPTER 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

6.8 Compound Interest

 

CHAPTER 7 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

 

CHAPTER 8 Statistics

8.1 Circle Graphs

8.2 Bar Graphs and Line Graphs

8.3 Frequency Distributions and Histograms

8.4 Mean, Median, and Mode

 

CHAPTER 9 The Real Number System

9.1 Exponents, Order of Operations, and Inequality

9.2 Variables, Expressions, and Equations

9.3 Real Numbers and the Number Line

9.4 Adding Real Numbers

9.5 Subtracting Real Numbers

9.6 Multiplying and Dividing Real Numbers

9.7 Properties of Real Numbers

9.8 Simplifying Expressions

 

CHAPTER 10 Equations, Inequalities, and Applications 
10.1 
The Addition Property of Equality

10.2 The Multiplication Property of Equality

10.3 More on Solving Linear Equations

10.4 An Introduction to Applications of Linear Equations

10.5 Formulas and Additional Applications from Geometry

10.6 Solving Linear Inequalities

 

CHAPTER 11 Graphs of Linear Equations and Inequalities in Two Variables

11.1 Linear Equations and Rectangular Coordinates

11.2 Graphing Linear Equations in Two Variables

11.3 The Slope of a Line

11.4 Slope-Intercept Form of a Linear Equation

11.5 Point-Slope Form of a Linear Equation and Modeling

11.6 Graphing Linear Inequalities in Two Variables

 

CHAPTER 12 Exponents and Polynomials

12.1 The Product Rule and Power Rules for Exponents

12.2 Integer Exponents and the Quotient Rule

12.3 An Application of Exponents: Scientific Notation

12.4 Adding and Subtracting Polynomials

12.5 Multiplying Polynomials

12.6 Special Products

12.7 Dividing a Polynomial by a Monomial

12.8 Dividing a Polynomial by a Polynomial

 

CHAPTER 13 Factoring and Applications

13.1 Greatest Common Factors; Factor by Grouping

13.2 Factoring Trinomials

13.3 Factoring Trinomials by Grouping

13.4 Factoring Trinomials Using the FOIL Method

13.5 Special Factoring Techniques

13.6 Solving Quadratic Equations Using the Zero-Factor Property

13.7 Applications of Quadratic Equations

 

CHAPTER 14 Rational Expressions and Applications

14.1 The Fundamental Property of Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Least Common Denominators

14.4 Adding and Subtracting Rational Expressions

14.5 Complex Fractions

14.6 Solving Equations with Rational Expressions

14.7 Applications of Rational Expressions

14.8 Variation

 

CHAPTER 15 Systems of Linear Equations and Inequalities

15.1 Solving Systems of Linear Equations by Graphing

15.2 Solving Systems of Linear Equations by Substitution

15.3 Solving Systems of Linear Equations by Elimination

15.4 Applications of Linear Systems

15.5 Solving Systems of Linear Inequalities

 

CHAPTER 16 Roots and Radicals

16.1 Evaluating Roots

16.2 Multiplying, Dividing, and Simplifying Radicals

16.3 Adding and Subtracting Radicals

16.4 Rationalizing the Denominator

16.5 More Simplifying and Operations with Radicals

16.6 Solving Equations with Radicals

 

CHAPTER 17 Quadratic Equations

17.1 Evaluating Roots

17.2 Multiplying, Dividing, and Simplifying Radicals

17.3 Adding and Subtracting Radicals

17.4 Rationalizing the Denominator

17.5 More Simplifying and Operations with Radicals

17.6 Solving Equations with Radicals


Appendix A: Measurement

Appendix B: Inductive and Deductive Reasoning