Features and Benefits

About the Book

  • Engage students with the mathematical world around them.
    • UPDATED! Outstanding applications from diverse fields are the centerpiece of this series, drawing from the author’s unique background in behavioral science. Students stay engaged when they see the context and understand the relevance of math. In this new edition, the author continues to raise the bar with new applications throughout that are relevant to college students, including student-loan debt, grade inflation, political orientation of college freshmen, sleep hours of college students, and the number of hours college students study per week.
    • Chapter Opening and Section-Opening Scenarios begin every chapter and section with a unique application of mathematics in students’ lives outside the classroom.  The often humorous tone of these openers is intended to help fearful and reluctant students overcome their negative perceptions about math. These scenarios are revisited throughout the chapter in examples, discussions, and exercises.
    • Blitzer Bonuses provide historical, interdisciplinary, and otherwise interesting connections to the algebra being studied, showing students that math is an interesting and dynamic discipline. New to this edition, these are brought to life in a new video series and related assignments.
  • Support students of all majors in their goal to be successful--in this course and beyond.
    • NEW! Achieving Success boxes appear at the end of many sections in Chapters 1 through 5 with strategies for persistence and success in college mathematics courses.
    • NEW! “Retaining the Concepts” section exercises focus on objectives that appeared previously in the text, to ensure students continue to apply and maintain mastery of the material. If students are not certain how to solve one of these, they can refer to the specific section and worked example provided next to each exercise.
    • Learning Objectives, framed in the context of a student question (What am I supposed to learn?), are clearly stated at the beginning of each section. These objectives help students recognize and focus on the section’s most important ideas. The objectives are restated in the margin at their point of use.
    • Voice balloons offer the support and guidance of an instructor’s voice. These translate algebraic ideas into everyday English, clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problem solving to concepts students have already learned.
    • Check Point Examples follow a similar matched problem and offer students the opportunity to test their understanding of the example by working a similar exercise. The answers to the Check Points are provided in the answer section.
    • Detailed Worked-Out Examples make the purpose of the example clear. Examples are clearly written and provide students with detailed step-by-step solutions. No steps are omitted and each step is thoroughly explained to the right of the mathematics.
    • Great Question! takes the content from each Study Tip and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
    • Integration of Technology Using Graphic and Numerical Approaches to Problems are side-by-side features in the technology boxes that show how graphing utilities verify and visualize algebraic results. Even for those not using graphing utilities, these displays will help students understand different approaches to problem solving.
    • Discovery boxes, found throughout the text, encourage students to further explore algebraic concepts. These explorations are optional and their omission does not interfere with the continuity of the topic at hand.
    • Chapter Summaries organize chapter material into easy-to-use two-column review charts. These summarize the definitions and concepts for every section of the chapter and refer students to illustrative examples.
  • Help students to study efficiently and apply their understanding with extensive and varied exercise sets
    • UPDATED! Learning Guide. Organized by the textbook's learning objectives, the Learning Guide is available as a print supplement to help students make the most of their textbook for test preparation. Activities are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class.
    • NEW! Brief Review boxes summarize the most critical prerequisite mathematical skills students should know in order to master the chapter’s objectives. This feature appears whenever a particular skill is first needed and eliminates the need for reteaching that skill. For more detail, students are referred to the appropriate section and objective in a previous chapter where the topic is fully developed.
    • NEW! Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh. Beginning with Chapter 2 each Exercise Set contains three review exercises under the header “Retaining the Concepts.”  These exercises are also available to assign through MyMathLab® for School.
    • Concept and Vocabulary Checks are short-answer exercises that precede the exercise sets to assess students’ understanding of the definitions and concepts presented in each section.
    • Practice Plus Problems contains more challenging practice problems that often require students to combine several skills or concepts. With an average of ten Practice Plus problems per exercise set, instructors have the flexibility to create assignments that take practice to a more challenging level.
    • Mid-Chapter Checkpoints appear approximately at the midway point in each chapter and contain a set of review exercises that allow students to review skills and concepts from several sections before the end-of-chapter exercises.
    • Graphing and Functions that model data appear in nearly every section and exercise set. Graphing is introduced in Chapter 1 and functions are introduced in Chapter 2, with an integrated graphing functional approach emphasized throughout the book. Examples and exercises use graphs of functions to explore relationships between data and to provide ways of visualizing a problem’s solution. Because functions are the core of this course, students are repeatedly shown how functions relate to equations and graphs.
    • “Make Sense?” classroom discussion exercises contain four critical thinking exercises that foster participation in the learning process. These questions ask students to determine whether statements are sensible, and to explain why or why not, allowing instructors to quickly gauge students’ understanding of concepts.
    • Preview Exercises at the end of each exercise set prepare students for material in the section ahead. Some problems review important material from the past and others are designed to get students thinking about concepts that they will soon encounter.
    • True/False problems challenge students to use their critical thinking skills by asking students to change the wording of false statements so that they become true.
    • End-of-Chapter Materials include a comprehensive collection of Review Exercises for each of the chapter’s sections right after the chapter Summary.
      • Cumulative Review Exercises, beginning at the end of Chapter 2, ensure that students remember previously learned material, keeping the fundamental skills and concepts fresh in their minds as they move on to the next chapter.
      • Chapter Tests cover all of the important topics in the chapter, helping students study for the real thing.

Content and Organizational Changes in the Sixth Edition

  • Section P.1 (Algebraic Expressions, Mathematical Models, and Real Numbers) follows an example on the cost of attending college (Example 2) with a new Blitzer Bonus, “Is College Worthwhile?”
  • Section P.6 (Rational Expressions) uses the least common denominator to combine rational expressions with different denominators, including expressions having no common factors in their denominators.
  • Section P.8 (Modeling with Equations) has new examples on modelling options for a toll (Example 3) and dual investments (Example 5).
  • Section 1.1 (Graphing and Graphing Utilities) contains a new example of a graph with more than one x-intercept (Example 5(d)).
  • Section 1.3 (More on Functions and Their Graphs) contains a new discussion on graphs with three forms of symmetry (Examples 2 and 3) before presenting even and odd functions. A new example (Example 4) addresses identifying even or odd functions from graphs.
  • Section 1.4 (Linear Functions and Slope) includes a new Blitzer Bonus, “Slope and Applauding Together.”
  • Section 1.8 (Inverse Functions) replaces an example on finding the inverse of f(x) = 5 / x+ 4 with an example on finding the inverse of f(x) =x + 2 / x - 3 (Example 4), a function with two occurrences of x.
  • Section 2.6 (Rational Functions and Their Graphs) opens with a discussion of college students and videogames. This is revisited in a new example (Example 9, “Putting the Video-Game Player Inside the Game”) involving the Oculus Rift, a virtual reality headset that enables users to experience video games as immersive three-dimensional environments.
  • Section 4.1 (Angles and Radian Measure) has new examples involving radians expressed in decimal form, including converting 2.3 radians to degrees (Example 3(d)) and finding a coterminal angle for a-10.3 angle (Example 7(d)). Additional Great Question! features provide hints for locating terminal sides of angles in standard position.
  • Section 4.2 (Trigonometric Functions: The Unit Circle) has a new Discovery feature on the use of parentheses when evaluating trigonometric functions with a graphing calculator, supported by new calculator screens throughout the section.
  • Chapter 5 opens with a new discussion on trigonometric functions and music.
  • Section 8.1 (Matrix Solutions to Linear Systems) has anew opening example (Example 1) showing the details on how to write an augmented matrix.
  • Section 9.1 (The Ellipse) includes a new example (Example 5) showing the details on graphing an ellipse centered at (h, k) by completing the square.
  • Section 9.3 (The Parabola) adds a new objective, moved from Section 10.4 (Rotation of Axes), on identifying conics of the form Ax2 + Cy2 + Dx + Ey + F = 0without completing the square, supported by an example (Example 7).
  • Section 10.2 (Arithmetic Sequences) contains a new example (Example 3) on writing the general term of an arithmetic sequence.
  • Section 10.7 (Probability) uses the popular lottery games Powerball (Example 5) and Mega Millions (Exercises 27—30) as applications of probability and combinations.

 

Available with MyMathLab® for School

MyMathLab for School 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. The new edition continues to expand the comprehensive auto-graded exercise options. In addition, MyMathLab for School includes new options designed to help students of all levels and majors to stay engaged and succeed in the course.

  • Students enter the course with widely varying skill levels, so MyMathLab for School includes personalized support and targeted practice to help all students succeed.
    • Integrated Review courses provide a full suite of supporting resources for the main course content plus additional assignments and study aids for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyMathLab for School, making it easier than ever to create your course.
    • Getting Ready material provides just-in-time review, integrated throughout the course as needed to prepare students with prerequisite material to succeed. From a quick quiz, a personalized, just-in-time review assignment is generated for each student, allowing them to refresh forgotten concepts.
  • Engage students with the mathematical world around them, and develop their visualization skills to strengthen their understanding of the concepts.
    • NEW! Blitzer Bonus Videos bring the applications from the text to life, helping students make visual connections to algebra and the world around them. These are ideal for the classroom, or they can be assigned to students in MyMathLab for School as media assignments or through the new exercises that assess conceptual understanding of the videos.
    • NEW! Guided Visualizations are interactive figures that help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual understanding, and they can be assigned as homework with correlating exercises. Additional Exploratory Exercises are available to help students think more conceptually about the figures and provide an excellent framework for group projects or lecture discussions. For easy access, Guided Visualizations are available in the Multimedia Library and are HTML based, making them compatible with iPad and tablet devices.
    • MathTalk Videos are fun, application-based videos showing students how the math they are learning applies to the real world and why they should care about math. They also have an accompanying Instructor Guide and video assessment questions assignable in MyMathLab for School.
  • Support students in their desire to be successful--in this course and beyond.
    • NEW! Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh. Beginning with Chapter 2 each Exercise Set contains three review exercises under the header “Retaining the Concepts.”  These exercises are also available to assign through MyMathLab for School.
    • NEW! Video Program includes fresh, interactive videos that walk students through the concepts from every objective of the text. The videos provide an active learning environment where students can work at their own pace.
    • Chapter Test Prep Videos allow students to work through step-by-step solutions to all of the Chapter Test exercises from the textbook. These are available in the MyMathLab for School courses and on YouTube.
  • Easier course set-up for instructors
    • NEW! Enhanced Sample Assignments make course set-up easier by giving instructors a starting point for each chapter. Each assignment, carefully curated for this specific text, with selections from Bob Blitzer, includes a thoughtful mix of question types (e.g., conceptual, skills, etc.) specific to that topic. 
  • Foster in-class student engagement and peer-to-peer learning
    • UPDATED! Learning Guide, organized by the textbook's learning objectives, is available as a print supplement to help students make the most of their textbook for test preparation. Learning Guides are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class