Student Solutions Manual for Pathways to College Mathematics

Description

Reading the Book or eBook for Results:

• Learning objectives, clearly stated at the beginning of each section, are framed in the context of a question (What am I supposed to learn?) so students can recognize and focus on the section’s most important ideas. The objectives are restated in the margin at their point of use.
• New – Chapter P, Prealgebra Pathways – To accommodate students needing additional review of prealgebra concepts (particularly non-STEM students), an entire chapter is now dedicated to topics such as whole numbers, fractions, decimals, percents, bar graphs, circle graphs, and line graphs.
• Examples are clearly written and provide students with detailed step-by-step solutions. No steps are omitted and each step is thoroughly explained. Examples are titled, which makes the purpose of the example clear.
• Explanatory voice balloons translate mathematical ideas into everyday English, help clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problem-solving strategies to concepts that students have already learned.
• Check Point exercises after every example give students a chance to test their understanding of the example by working a similar exercise. Answers to all of the Check Points are in the answer section. Additionally, Check Point Videos and assignable exercises are available in MyLab Math.
• New and revised applications and real world data engage students and provide thought-provoking material to motivate students with timely real-world information and events.
• Chapter- and section-opening scenarios present a unique application of mathematics in students’ lives outside the classroom. These scenarios are revisited in examples, discussions, or exercises.
• The 2nd Edition offers 58 worked-out examples and exercises based on new data sets, and 23 applications containing updated data from the previous edition.
• New – Additional Blitzer Bonuses:
  
• These enrichment essays provide historical, interdisciplinary, and otherwise interesting connections to the mathematics under study, showing students that math is an interesting and dynamic discipline.
• New Bonuses include “Digits, Place Values, and Computers” (section 1.1), “Palindromes and Rational Numbers” (section 1.3), “Slope and Applauding Together” (section 3.2), “Three Weird Units of Measure” (section 5.1), and “Screen Math” (section 6.2).
• Concept and Vocabulary Checks provide fill-in-the-blank and true/false exercises that assess students’ understanding of the definitions and concepts presented in the section. These appear as separate features before the exercise sets, and are useful for engaging classroom discussion and participation.

Working Problems:

• Extensive exercise sets offer several types of exercises. This variety makes it easy to create well-rounded homework assignments from the text or in MyLab Math. We’ve increased the number of exercises available to assign within MyLab Math to more closely parallel the textbook as well. Exercise types include the following:
• New – Four “Make Sense?” critical-thinking exercises in each exercise set:
• These new exercises test students’ conceptual understanding by asking them to determine whether statements are sensible, and to explain why or why not.
• They can be also used for classroom discussion to encourage participation. Instructors can ask students what they think about selected statements, determine whether they understand the concepts, and give them feedback to clarify any misunderstandings.
• Practice exercises follow the same order as the examples; this parallel order enables students to refer to the titled examples plus their detailed explanations to successfully achieve each section’s objectives.
• Practice Plus problems are more challenging exercises that require students to combine several skills or concepts.
• Application exercises give the option of assigning realistic, relevant, and unique applications consistent with your students’ needs and interests.
• Explaining the Concepts exercises ask students to provide written oral responses to questions covering each of the section’s objectives.
• Critical Thinking exercises require the use of analytical skills that go beyond the section’s basic objectives. These exercises ask students to make sense of complex problems and persevere in solving them.
• Technology exercises enable students to use a variety of tools to explore and deepen their understanding of concepts.
• Group exercises contain projects and collaborative activities that give students the opportunity to work cooperatively as they think and talk about mathematics.
• New – New topics for STEM students — Includes modeling mixture problems with systems of equations (section 3.4) and right triangle trigonometry (section 6.6).
• New – Section 1.1: Sets, Venn Diagrams, and Set Operations — Because the numbers discussed in Chapter 1 (Numerical Pathways) are defined using sets, Chapter 1 opens with a new section devoted entirely to this topic.

Quiz and Test Review:

• New – Mid-chapter Check Points — Approximately midway through each chapter, an integrated set of review exercises allows students to review and assimilate the skills and concepts they learned separately over several sections.

• Learning tools are fueled by Bob Blitzer’s unique background — degrees in psychology and mathematics, plus 30 years of teaching at Miami Dade College — giving students what they need to succeed in this course.
• Brief Review boxes summarize mathematical skills that students should have learned previously, but which many still need to review. This feature appears whenever a particular skill is first needed and eliminates the need to reteach that skill.
• Great Question! This feature presents study tips in the context of student questions. Answers offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions. A side benefit is that students feel less anxious about asking questions in class.
• Achieving Success boxes at the end of most sections offer strategies for persistence and success in college mathematics courses.
• Chapter Review Summary Charts summarizes the definitions and concepts in every section of the chapter. Examples that illustrate these key concepts are also included in the chart. For further review, the chart refers students to similar worked-out examples, by page number, from the chapter
• Chapter Review exercises follow the Summary Charts, and provide a comprehensive review of each section of the text.
• The Chapter Test enables students to check their understanding of the material and see if they’re ready for the real thing.
• Revised – Learning Guide with Activities — Available separately, the Learning Guide helps students make the most of their textbook while providing additional practice for each section and guidance for test preparation. 
• In the 2nd Edition, more activities have been added per chapter, intended for group work in class to help students place math in a real work context. Regardless of class format, using these activities with students can be a productive approach to help students apply newfound knowledge. 
• The Learning Guide is published in an unbound, binder-ready format to serve as the basis for a course notebook, and also available to print from within the MyLab Math course.

Also available with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

Reach every student with MyLab Math 

Empower each learner

• Personalized learning
• New – Skill Builder exercises offer just-in-time additional adaptive practice. The adaptive engine tracks student performance and delivers questions to each individual that adapt to their level of understanding.This new feature allows instructors to assign fewer questions for homework, allowing students to complete as many or as few questions as they need.

• Motivation
• New – Mindset Module is available in the course, with mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities. 

Deliver trusted content

• Course-specific resources and interactive features
• A wealth of video resources give students extra help for most sections of the text. Check Point Videos show instructors working out each Check Point problem in the section to ensure understanding. Section lecture videos (also available as short, objective-level clips) cover important topics from many sections, providing students with extra help.

• Chapter P, Prealgebra Pathways – To accommodate students needing additional review of prealgebra concepts (particularly non-STEM students), an entire chapter is now dedicated to topics such as whole numbers, fractions, decimals, percents, bar graphs, circle graphs, and line graphs.
• Mid-chapter Check Points – Approximately midway through each chapter, an integrated set of review exercises allows students to review and assimilate the skills and concepts they learned separately over several sections.
• Four “Make Sense?” critical-thinking exercises in each exercise set:
• These new exercises test students’ conceptual understanding by asking them to determine whether statements are sensible, and to explain why or why not.
• They can be also used for classroom discussion to encourage participation. Instructors can ask students what they think about selected statements, determine whether they understand the concepts, and give them feedback to clarify any misunderstandings.
• Section 1.1: Sets, Venn Diagrams, and Set Operations – Because the numbers discussed in Chapter 1 (Numerical Pathways) are defined using sets, Chapter 1 opens with a new section devoted entirely to this topic.
• New applications and real-world data – Includes 58 worked-out examples and 23 applications containing updated data from the previous edition.
• New topics for STEM students – Includes modeling mixture problems with systems of equations (section 3.4) and right triangle trigonometry (section 6.6).
• New Blitzer Bonuses:
  
• These enrichment essays provide historical, interdisciplinary, and otherwise interesting connections to the mathematics under study, showing students that math is an interesting and dynamic discipline.
• New Bonuses include “Digits, Place Values, and Computers” (section 1.1), “Palindromes and Rational Numbers” (section 1.3), “Slope and Applauding Together” (section 3.2), “Three Weird Units of Measure” (section 5.1), and “Screen Math” (section 6.2).

• Revised Learning Guide with Activities – Available separately, the Learning Guide helps students make the most of their textbook while providing additional practice for each section and guidance for test preparation. 
• In the 2nd Edition, more activities have been added per chapter, intended for group work in class to help students place math in a real work context. Regardless of class format, using these activities with students can be a productive approach to help students apply newfound knowledge. 
• The Learning Guide is published in an unbound, binder-ready format to serve as the basis for a course notebook, and also available to print from within the MyLab Math course.

Also available with MyLab Math 

• Skill Builder exercises offer just-in-time additional adaptive practice. The adaptive engine tracks student performance and delivers questions to each individual that adapt to their level of understanding.This new feature allows instructors to assign fewer questions for homework, allowing students to complete as many or as few questions as they need.
• Mindset Module is available in the course, with mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities. 
  

Provides completely worked-out solutions to the odd-numbered section exercises; all exercises in the Integrated Reviews, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

0135277078 / 9780135277072 STUDENT’S SOLUTIONS MANUAL FOR PATHWAYS TO COLLEGE MATHEMATICS, 2/e

• Preface
• Supplement List
• Acknowledgements
• To the Student
• About the Author

1. Prealgebra Pathways
   • P.1 Whole Numbers
   • P.2 Fractions and Mixed Numbers
   • P.3 Simplifying Fractions; Operations with Fractions
   • P.4 Decimals
     • Mid-Chapter Check Point
   • P.5 Operations with Decimals
   • P.6 Fractions and Decimals
   • P.7 Percents, Decimals, and Fractions
   • Chapter P Summary
   • Review Exercises
   • Chapter P Test
2. Numerical Pathways
   • 1.1 Sets, Venn Diagrams, and Set Operations
   • 1.2 The Integers; Order of Operations
   • 1.3 The Rational Numbers
   • 1.4 The Irrational Numbers
     • Mid-Chapter Check Point
   • 1.5 Real Numbers and their Properties
   • 1.6 Exponents and Scientific Notation
   • 1.7 Arithmetic and Geometric Sequences
   • Chapter 1 Summary
   • Review Exercises
   • Chapter 1 Test
3. Algebraic Pathways: Equations and Inequalities
   • 2.1 Algebraic Expression and Formulas
   • 2.2 Linear Equations in One Variable
   • 2.3 Applications of Linear Equalities
     • Mid-Chapter Check Point
   • 2.4 Ratios, Rates, and Proportions
   • 2.5 Modeling Using Variation
   • 2.6 Linear Equalities in One Variable
   • Chapter 2 Summary
   • Review Exercises
   • Chapter 2 Test
4. Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems
   • 3.1 Graphing and Functions
   • 3.2 Linear Functions and Their Graphs
   • 3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines
     • Mid-Chapter Check Point
   • 3.4 Systems of Linear Equations in Two Variables
   • 3.5 Linear Equalities in Two Variables
   • Chapter 3 Summary
   • Review Exercises
   • Chapter 3 Test
5. Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions
   • 4.1 Operations with Polynomials; Polynomial Functions
   • 4.2 Factoring Polynomials
     • Mid-Chapter Check Point
   • 4.3 Solving Quadratic Equations by Factoring
   • 4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula
   • 4.5 Quadratic Functions and Their Graphs
   • Chapter 4 Summary
   • Review Exercises
   • Chapter 4 Test
6. Geometric Pathways: Measurement
   • 5.1 Measuring Length; The Metric System
   • 5.2 Measuring Area and Volume
     • Mid-Chapter Check Point
   • 5.3 Measuring Weight and Temperature
   • Chapter 5 Summary
   • Review Exercises
   • Chapter 5 Test
7. Geometric Pathways
   • 6.1 Points, Lines, Planes, and Angles
   • 6.2 Triangles
   • 6.3 Polygons, Perimeter, and Tessellations
     • Mid-Chapter Check Point
   • 6.4 Area and Circumference
   • 6.5 Volume
   • 6.6 A STEM Application: Right Triangle Trigonometry
   • Chapter 6 Summary
   • Review Exercises
   • Chapter 6 Test
8. Pathways to Probability: Counting Methods and Probability Theory
   • 7.1 The Fundamental Counting Principle
   • 7.2 Permutations
   • 7.3 Combinations
   • 7.4 Fundamentals of Probability
     • Mid-Chapter Check Point
   • 7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
   • 7.6 Events Involving Not and Or; Odds
   • 7.7 Events Involving And; Conditional Probability
   • Chapter 7 Summary
   • Review Exercises
   • Chapter 7 Test
9. Statistical Pathways
   • 8.1 Sampling, Frequency Distributions, and Graphs
   • 8.2 Measures of Central Tendency
     • Mid-Chapter Check Point
   • 8.3 Measures of Dispersion
   • 8.4 The Normal Distribution
   • Chapter 8 Summary
   • Review Exercises
   • Chapter 8 Test

Answers to Selected Exercises

Subject Index

Index of Applications

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Developmental Mathematics: Prealgebra, Introductory & Intermediate Algebra All in One; Pathways to College Mathematics; Introductory Algebra for College Students; Intermediate Algebra for College Students; Introductory and Intermediate Algebra for College Students; Algebra for College Students; Thinking Mathematically; College Algebra; Algebra and Trigonometry ; Precalculus; and Trigonometry – all published by Pearson.

Provides completely worked-out solutions to the odd-numbered section exercises; all exercises in the Integrated Reviews, Chapter Reviews, Chapter Tests, and Cumulative Reviews.

Additional information

Dimensions	1.20 × 8.50 × 10.95 in
Imprint	Pearson
Format	gen
ISBN-13	09780135277072
ISBN-10	0135277078
Author	Robert F. Blitzer
BISAC	MED058000
Subjects	Pathways, mathematics, higher education, Developmental Math, MED058000