Algebra and Trigonometry, Global Edition, 7th edition

Published by Pearson (July 12, 2022) © 2022

  • Robert F. Blitzer Miami Dade College

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Thistitle is a Pearson Global Edition. The editorial team at Pearson has workedclosely with educators around the world to include content which is especiallyrelevant to an international and diverse audience.

For courses in algebra andtrigonometry.

"Your world is profoundlymathematical."

Bob Blitzer continues to supportand inspire students with his engaging approach, making this text beloved yearafter year by students and instructors alike. Blitzer's unique background inmathematics and behavioral science informs a wide range of applications, drawnfrom pop culture and up-to-date references, that appeal to students of allmajors and connect math to students' lives.

MyLab® Math is not included. Students, if Pearson MyLabMath is a recommended/mandatory component of the course, please ask yourinstructor for the correct ISBN. Pearson MyLab Math should only be purchasedwhen required by an instructor. Instructors, contact your Pearsonrepresentative for more information.

· Voice balloons offer the support and guidance ofan instructor's voice. These translate algebraic ideas into everyday English,clarify problem-solving procedures, present alternative ways of understandingconcepts, and connect problem solving to concepts students have alreadylearned.

· Check Point Examples: Each example is followed by asimilar matched problem, called a Check Point, giving students a chance to testtheir understanding of the example. Answers to the Check Points are provided inthe answer section.

· Great Question! feature presents a variety ofstudy tips in the context of students' questions. Answers to questions offersuggestions for problem solving, point out common errors to avoid, and provideinformal hints and suggestions. This feature also can help alleviate students'anxiety when asking questions in class.

· Graphing and Functions that model data appear in nearlyevery section and exercise set.

o Graphing is introduced in Chapter1 and functions are introduced in Chapter 2, with an integrated graphingfunctional approach emphasized throughout the book.

o Examples and exercises use graphsof functions to explore relationships between data and to provide ways ofvisualizing a problem's solution.

o Because functions are the core ofthis course, students are repeatedly shown how functions relate to equationsand graphs.

· Brief Review boxes summarize the most criticalprerequisite mathematical skills students should know in order to master thechapter's objectives. This feature appears whenever a particular skill is firstneeded and eliminates the need for reteaching that skill.

· Section Exercise Sets are ample and consistentlyorganized, enabling instructors to create assignments that meet student needs.Exercise sets include:

o Concept and Vocabulary Checks: short-answer exercises thatprecede the exercise sets to assess students' understanding of the definitionsand concepts presented in each section.

o Practice PLUS Problems: more challenging practice problemsthat often require students to combine several skills or concepts. With anaverage of ten Practice PLUS problems per exercise set, instructors have theflexibility to create assignments that take practice to a more challenginglevel.

o "Make Sense?" classroom discussion exercises:sets of four critical-thinking exercises that foster participation in thelearning process. These questions ask students to determine whether statementsare sensible, and to explain why or why not, allowing instructors to quicklygauge students' understanding of concepts.

o Retaining the Concepts exercises: an opportunity forstudents to review previously covered objectives in order to help maintaintheir mastery of the material and keep skills fresh. These exercises are also availableon Enhanced Assignments within Pearson MyLab Math.

o Preview Exercises at the end of each exercise set:practice that prepares students for material in the section ahead. Someproblems review important material from the past and others are designed to getstudents thinking about concepts that they will soon encounter.

· Mid-Chapter Checkpoints contain a set of review exercisesthat allow students to review skills and concepts from several sections beforethe end-of-chapter exercises.

· End-of-chapter materials include a comprehensivecollection of Review Exercises, including Cumulative Review Exercises andpractice Chapter Tests, for each of the chapter's sections right after thechapter Summary.

· Achieving Success boxes at the end of many sections inChapters 1 through 5 offer strategies for persistence and success in collegemathematics courses.

MyLab® Math is not included. Students, if Pearson MyLab Math is arecommended/mandatory component of the course, please ask your instructor forthe correct ISBN. Pearson MyLab Math should only be purchased when required byan instructor. Instructors, contact your Pearson representative for moreinformation.

· Blitzer Bonus Videos and Math Talk Videos:

o Blitzer Bonus videos provide historical,interdisciplinary, and otherwise interesting connections to the algebra beingstudied, showing students that math is an interesting and dynamic discipline.

o MathTalk Videos are fun, application-based videosshowing students how the math they are learning applies to the real world andwhy they should care about math. They also have an accompanying InstructorGuide and video assessment questions assignable in Pearson MyLab Math.

· Learning Guide includes:

o Guided Practice worksheets for each section of the text.These worksheets start with a catchy headline and motivating real-worldconnection followed by numerous "Solved Problems" and accompanying"Pencil Problems."

o Classroom Activities<span

· New applications: Bob Blitzer's distinctive andrelatable voice engages students in the world of math through compelling,real-word applications. Each section starts out with a motivating hookthat is continued through the section examples and exercises. Applicationscover topics relevant to students, including many new to the 7th Edition:

o World Tiger Population

o COVID-19 Pandemic (extensivecoverage, including a section opener, Cumulative Review, Exercises, andExamples)

o Use of Social Media by Age

MyLab® Math is not included. Students, if Pearson MyLab Math is arecommended/mandatory component of the course, please ask your instructor forthe correct ISBN. Pearson MyLab Math should only be purchased when required byan instructor. Instructors, contact your Pearson representative for moreinformation.

Blitzer'supdated Pearson MyLab Math course aims to help bring underprepared students upto speed. New gradable GeoGebra Graphing Exercises create a more dynamicgraphing environment, encouraging more of a paper-pencil experience, while theexpanded selection of Interactive Figures helps students visualize mathematicalconcepts.

· GeoGebra Graphing Exercises in Pearson MyLab Math aregradable graphing exercises that help students demonstrate their understanding.They enable students to interact directly with the graph in a manner thatreflects how students would graph on paper.

· Expanded library of Interactive Figures adds many more Interactive Figures(in editable GeoGebra format) to the Video & Resource Library. InteractiveFigures bring mathematical concepts to life, helping students see theconcepts through directed explorations and purposeful manipulation. Thesefigures are assignable in Pearson MyLab Math and encourage active learning,critical thinking, and conceptual understanding.

· Updated Integrated Review at the chapter level provides a Skills Checkassessments to pinpoint which prerequisites topics, if any, students need toreview.

o Instructors who prefer to review at the section level canassign the Enhanced Assignments instead.

o New Integrated Review Activities for selected topics providehands-on work with important prerequisites.

· Video Assignments featuring short videos withcorresponding Pearson MyLab Math exercises are available for each section ofthe text. These editable assignments are especially helpful for online classesor "flipped" classes, where some or all learning takes placeindependently.

· Personal Inventory Assessments in Pearson MyLab Math are acollection of online activities designed to promote self-reflection andmetacognition in students. These 33 assessments include topics such as a StressManagement Assessment, Diagnosing Poor Performance and Enhancing Motivation,and Time Management Assessment.

· Mindset videos and assignable, open-ended exercises in Pearson MyLab Math foster agrowth mindset in students. This material encourages them to maintain apositive attitude about learning, value their own ability to grow, and viewmistakes as learning opportunities, which is so often a hurdle for mathstudents. These videos are one of many Study Skills and Career-ReadinessResources that address the non-math-related issues that can affect studentsuccess.

· College Algebra Essential Topic Video series and worksheets cover theessential topics a college algebra student must understand to succeed in thecourse. Videos can be assigned in a MyLab assignment to remind students of thecrucial content before they begin on their exercises.

· More of the popular Setup & Solve Exercisesadded to the MyLab: These require students to first describe how they will setup and approach the problem, mirroring what students will be expected to do ona test.

  • P. Prerequisites: Fundamental Concepts of Algebra
  • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
  • P.2 Exponents and Scientific Notation
  • P.3 Radicals and Rational Exponents
  • P.4 Polynomials
  • P.5 Factoring Polynomials
  • P.6 Rational Expressions
  • 1. Equations and Inequalities
  • 1.1 Graphs and Graphing Utilities
  • 1.2 Linear Equations and Rational Equations
  • 1.3 Models and Applications
  • 1.4 Complex Numbers
  • 1.5 Quadratic Equations
  • 1.6 Other Types of Equations
  • 1.7 Linear Inequalities and Absolute Value Inequalities
  • 2. Functions and Graphs
  • 2.1 Basics of Functions and Their Graphs
  • 2.2 More on Functions and Their Graphs
  • 2.3 Linear Functions and Slope
  • 2.4 More on Slope
  • 2.5Transformations of Functions
  • 2.6 Combinations of Functions; Composite Functions
  • 2.7 Inverse Functions
  • 2.8 Distance and Midpoint Formulas; Circles
  • 3. Polynomial and Rational Functions
  • 3.1 Quadratic Functions
  • 3.2 Polynomial Functions and Their Graphs
  • 3.3 Dividing Polynomials; Remainder and Factor Theorems
  • 3.4 Zeros of Polynomial Functions
  • 3.5 Rational Functions and Their Graphs
  • 3.6 Polynomial and Rational Inequalities
  • 3.7 Modeling Using Variation
  • 4. Exponential and Logarithmic Functions
  • 4.1 Exponential Functions
  • 4.2 Logarithmic Functions
  • 4.3 Properties of Logarithms
  • 4.4 Exponential and Logarithmic Equations
  • 4.5 Exponential Growth and Decay; Modeling Data
  • 5. Trigonometric Functions
  • 5.1 Angles and Radian Measure
  • 5.2 Right Triangle Trigonometry
  • 5.3 Trigonometric Functions of Any Angle
  • 5.4 Trigonometric Functions of Real Numbers; Periodic Functions
  • 5.5 Graphs of Sine and Cosine Functions
  • 5.6 Graphs of Other Trigonometric Functions
  • 5.7 Inverse Trigonometric Functions
  • 5.8 Applications of Trigonometric Functions
  • 6. Analytic Trigonometry
  • 6.1 Verifying Trigonometric Identities
  • 6.2 Sum and Difference Formulas
  • 6.3Double-Angle, Power-Reducing, and Half-Angle Formulas
  • 6.4 Product-to-Sumand Sum-to-Product Formulas
  • 6.5 Trigonometric Equations
  • 7. Additional Topics in Trigonometry
  • 7.1 The Law of Sines
  • 7.2 The Law of Cosines
  • 7.3 Polar Coordinates
  • 7.4 Graphs of Polar Equations
  • 7.5 Complex Numbers in Polar Form; De Moivre's Theorem
  • 7.6 Vectors
  • 7.7 The Dot Product
  • 8. Systems of Equations and Inequalities
  • 8.1 Systems of Linear Equations in Two Variables
  • 8.2 Systems of Linear Equations in Three Variables
  • 8.3 Partial Fractions
  • 8.4 Systems of Nonlinear Equations in Two Variables
  • 8.5 Systems of Inequalities
  • 8.6 Linear Programming
  • 9. Matrices and Determinants
  • 9.1 Matrix Solutions to Linear Systems
  • 9.2 Inconsistent and Dependent Systems and Their Applications
  • 9.3 Matrix Operations and Their Applications
  • 9.4 Multiplicative Inverses of Matrices and Matrix Equations
  • 9.5 Determinants and Cramer's Rule
  • 10. Conic Sections and Analytic Geometry
  • 10.1 The Ellipse
  • 10.2 The Hyperbola
  • 10.3 The Parabola
  • 10.4 Rotation of Axes
  • 10.5 Parametric Equations
  • 10.6 Conic Sections in Polar Coordinates
  • 11. Sequences, Induction, and Probability
  • 11.1 Sequences and Summation Notation
  • 11.2 Arithmetic Sequences
  • 11.3 Geometric Sequences and Series
  • 11.4 Mathematical Induction
  • 11.5 The Binomial Theorem
  • 11.6 Counting Principles, Permutations, and Combinations
  • 11.7 Probability

Bob Blitzer is a native of Manhattan and received aBachelor of Arts degree with dual majors in mathematics and psychology (minor:English literature) from the City College of New York. His unusual combinationof academic interests led him toward a Master of Arts in mathematics from theUniversity of Miami and a doctorate in behavioral sciences from NovaUniversity. Bob's love for teaching mathematics was nourished for nearly 30years at Miami Dade College, where he received numerous teaching awards,including Innovator of the Year from the League for Innovations in theCommunity College and an endowed chair based on excellence in the classroom. Inaddition to Algebra and Trigonometry, Bob has written textbookscovering developmental mathematics, introductory algebra, intermediate algebra,trigonometry, precalculus, and liberal arts mathematics, all published byPearson. When not secluded in his Northern California writer's cabin, Bob canbe found hiking the beaches and trails of Point Reyes National Seashore andtending to the chores required by his beloved entourage of horses, chickens,and irritable roosters.

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