Student Solutions Manual for Introductory Algebra for College Students

Description

This manual provides detailed, worked-out solutions to odd-numbered section exercises, plus all Check Points, Review/Preview Exercises, Mid-Chapter Check Points, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

0136552102 / 9780136552109 STUDENT’S SOLUTIONS MANUAL FOR INTRODUCTORY ALGEBRA FOR COLLEGE STUDENTS, 8/e

Engaging applications, real-world data, and supporting media put mathematical learning into context and develop conceptual understanding. 

• UPDATED –  Bob Blitzer is on a constant search for data and real-world scenarios that can be used to illustrate algebra applications. 
• More than 100 new or revised examples, applications, and exercises are based on new or updated data sets. 
• Many of these applications involve topics relevant to college students, such as the earnings of college graduates and political orientation of freshmen. Other applications tackle larger issues such as participation in presidential elections and the pay gap.
• Blitzer Bonuses in the text provide interesting connections to the math at hand, showing students that math is a dynamic discipline applicable to the real world. Interesting topics include how to conceptualize how much the national debt is, and comparing our global population growth to our global food supply.

• These features are mirrored in the MyLab™ course, with animation-style Blitzer Bonus videos to connect the math to the real world in a highly visual way. These videos can be used in class to facilitate a lecture and are assignable with corresponding assessment exercises to ensure that students watched the video and understood the topic at hand.   
• NEW – Animations in MyLab Math, powered by GeoGebra, encourage conceptual understanding of algebraic topics by encouraging hands-on manipulation and exploration. Corresponding assessment exercises make them assignable, and check that students understand the main takeaway of each animation. 

Student support features pair with an approachable writing style to help students of all levels understand algebra. 

• Great Question! presents helpful study tips in the form of a question students might have. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
• Explanatory Voice Balloons translate algebraic ideas into everyday English, help clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problem-solving strategies to concepts students have already learned.
• Check Point exercises after every example make the text more interactive by offering students the opportunity to test their understanding of the example by working a similar exercise. Answers to all of the Check Points are in the answer section.
• NEW – A Mindset module in MyLab Math is now available as part of the Student Success Module. Growth mindset-focused videos and exercises encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.
• The mobile-compatible video program provides students with extra help for each section of the textbook.
• Section Lecture Videos cover important topics from the text, and can be used on any device to help students study anytime, anywhere.
• Chapter Test Prep Videos offer step-by-step video solutions to every problem in each Chapter Test in the textbook. 
• The Learning Guide workbook gives students the opportunity to practice the topics, with side-by-side examples and practice problems, and guidance for test preparation. The Learning Guide includes projects to foster conceptual understanding in an active classroom environment. 

Features to address underpreparedness, along with abundant opportunities to practice, help students get up to speed and confident in their abilities.

• Integrated Review in MyLab Math provides embedded and personalized review of prerequisite topics within relevant chapters.
• Integrated Review assignments – including a Skills Check and personalized homework for the review topics – are premade and available to assign in the Assignment Manager. 
• The Skills Check asks students to check their prerequisite skills, and the homework is personalized to focus their work on just the topics they need to review. For students who need to learn or refresh on a particular skill, videos and worksheets are available to give students remediation right where they need it. 
• Integrated Review can support a corequisite course model, or any course where students would benefit from review. 
• Extensive exercise sets offer a wide variety of exercises. This variety makes it easy to create well-rounded homework assignments from the text or in MyLab Math. Exercise types include: 
• Concept and Vocabulary Checks to assess understanding of definitions and concepts. 
• Practice Plus exercises to challenge students and combine several skills. 
• Explaining the Concepts exercises, which ask students to verbalize concepts in their own words.
• Critical Thinking exercises, which stretch student thinking by asking them to draw conclusions and justify answers. 
• Review exercises maintain students’ understanding of previously covered topics. 
• Preview exercises prepare students for the next section. 
• Application exercises apply what students have learned to a realistic scenario. 
• Technology exercises reinforce graphing calculator skills learned from that section. 
• Mid-Chapter Check Points allow students to stop and assess the skills and concepts they’ve learned separately over several sections. The Mid-Chapter Check Points will now be available as a pre-made assignment in the Blitzer MyLab Math courses.
• Learning Catalytics™ in MyLab Math is an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. 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.
• Chapter Summaries are organized by section and highlight important concepts and topics with side-by-side examples to make it easy for students to study and check their mastery of key concepts.

Check out the preface for a complete list of features and what’s new in this edition.

MyLab Math tightly integrates the voice of the author so that students have a seamless experience no matter how they access content. In addition to opportunities for unlimited practice and a full interactive eText, the MyLab can personalize learning and is flexible enough to be tailored to any course set-up.  Learn more about MyLab Math. 

• Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab gives you the flexibility to easily create your course to fit your needs.
• Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need — when and where they need it — to be successful.
• NEW – Integrated Review in MyLab Math provides embedded and personalized review on prerequisite skills needed to be successful in each chapter. Premade, assignable review quizzes and homeworks, along with remediation aids like videos and worksheets, can help corequisite students review the topics they need, or simply get underprepared students up to speed. 
• Personalized homework and Skill Builder offer two ways to focus students’ work on their individual needs. Personalized homework gives students automatic credit for exercises they’ve shown they know, while Skill Builder delivers in-assignment, just-in-time remediation to enable students to better be able to complete their assignment. 

• NEW – Personal Inventory Assessments are a collection of online exercises designed to promote self-reflection and engagement in students. These 33 assessments include topics such as a Stress Management Assessment, Diagnosing Poor Performance and Enhancing Motivation, and Time Management Assessment. 

• Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. That’s why we partner with highly respected authors to develop interactive content and course-specific resources that you can trust — and that keep your students engaged. 
• Blitzer Bonus Videos in MyLab Math mirror the features in the text. These animation-style videos use Bob Blitzer’s signature style and voice to provide interesting real-world connections–in a highly visual way–to the mathematical topics at hand. Corresponding assignable Blitzer Bonus exercises are available to test student understanding of the topic covered in the video, and make the video truly assignable.
• MyLab Math includes hundreds of Blitzer-specific exercises for unlimited practice, including assignable Concept and Vocab Check questions, Blitzer Bonus exercises, and more. 

This manual provides detailed, worked-out solutions to odd-numbered section exercises, plus all Check Points, Review/Preview Exercises, Mid-Chapter Check Points, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

Table of Contents

1. Variables, Real Numbers, and Mathematical Models
   • 1.1 Introduction to Algebra: Variables and Mathematical Models
   • 1.2 Fractions in Algebra
   • 1.3 The Real Numbers
   • 1.4 Basic Rules of Algebra
     • Mid-Chapter Check Point
   • 1.5 Addition of Real Numbers
   • 1.6 Subtraction of Real Numbers
   • 1.7 Multiplication and Division of Real Numbers
   • 1.8 Exponents and Order of Operations
2. Linear Equations and Inequalities in One Variable
   • 2.1 The Addition Property of Equality
   • 2.2 The Multiplication Property of Equality
   • 2.3 Solving Linear Equations
   • 2.4 Formulas and Percents
     • Mid-Chapter Check Point
   • 2.5 An Introduction to Problem Solving
   • 2.6 Problem Solving in Geometry
   • 2.7 Solving Linear Inequalities
3. Linear Equations and Inequalities in Two Variables
   • 3.1 Graphing Linear Equations in Two Variables
   • 3.2 Graphing Linear Equations Using Intercepts
   • 3.3 Slope
   • 3.4 The Slope-Intercept Form of the Equation of a Line
     • Mid-Chapter Check Point
   • 3.5 The Point-Slope Form of the Equation of a Line
   • 3.6 Linear Inequalities in Two Variables
4. Systems of Linear Equations and Inequalities
   • 4.1 Solving Systems of Linear Equations by Graphing
   • 4.2 Solving Systems of Linear Equations by the Substitution Method
   • 4.3 Solving Systems of Linear Equations by the Addition Method
     • Mid-Chapter Check Point
   • 4.4 Problem Solving Using Systems of Equations
   • 4.5 Systems of Linear Inequalities
5. Exponents and Polynomials
   • 5.1 Adding and Subtracting Polynomials
   • 5.2 Multiplying Polynomials
   • 5.3 Special Products
   • 5.4 Polynomials in Several Variables
     • Mid-Chapter Check Point
   • 5.5 Dividing Polynomials
   • 5.6 Dividing Polynomials by Binomials
   • 5.7 Negative Exponents and Scientific Notation
6. Factoring Polynomials
   • 6.1 The Greatest Common Factor and Factoring by Grouping
   • 6.2 Factoring Trinomials Whose Leading Coefficient is 1
   • 6.3 Factoring Trinomials Whose Leading Coefficient is Not 1
     • Mid-Chapter Check Point
   • 6.4 Factoring Special Forms
   • 6.5 A General Factoring Strategy
   • 6.6 Solving Quadratic Equations by Factoring
7. Rational Expressions
   • 7.1 Rational Expressions and Their Simplification
   • 7.2 Multiplying and Dividing Rational Expressions
   • 7.3 Adding and Subtracting Rational Expressions with the Same Denominator
   • 7.4 Adding and Subtracting Rational Expressions with Different Denominators
     • Mid-Chapter Check Point
   • 7.5 Complex Rational Expressions
   • 7.6 Solving Rational Equations
   • 7.7 Applications Using Rational Equations and Proportions
   • 7.8 Modeling Using Variation
8. Roots and Radicals
   • 8.1 Finding Roots
   • 8.2 Multiplying and Dividing Radicals
   • 8.3 Operations with Radicals
     • Mid-Chapter Check Point
   • 8.4 Rationalizing the Denominator
   • 8.5 Radical Equations
   • 8.6 Rational Exponents
9. Quadratic Equations and Introduction to Functions
   • 9.1 Solving Quadratic Equations by the Square Root Property
   • 9.2 Solving Quadratic Equations by Completing the Square
   • 9.3 The Quadratic Formula
     • Mid-Chapter Check Point
   • 9.4 Imaginary Numbers as Solutions of Quadratic Equations
   • 9.5 Graphs of Quadratic Equations
   • 9.6 Introduction to Functions

Appendix: Mean, Median, and Mode

• Bob Blitzer is on a constant search for data and real-world situations that can be used to illustrate algebra applications. 
• More than 100 new or revised examples, applications, and exercises are based on new or updated data sets. 
• Many of these applications involve topics relevant to college students, such as the earnings of college graduates and marijuana use among college-age students. Other applications tackle larger issues such as participation in presidential elections and the pay gap.
• Animations in MyLab Math, powered by GeoGebra, encourage conceptual understanding of algebraic topics by encouraging hands-on manipulation and exploration. Corresponding assessment exercises to make them assignable, and check that students have understood the main takeaway of each animation. 

• A Mindset module in MyLab Math is now available as part of the Student Success Module. Growth mindset-focused videos and exercises encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.
• Personal Inventory Assessments in MyLab Math are a collection of online exercises designed to promote self-reflection and engagement in students. These 33 assessments include topics such as a Stress Management Assessment, Diagnosing Poor Performance and Enhancing Motivation, and Time Management Assessment. 

Additional information