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Intermediate Algebra, 13th edition

Published by Pearson (February 20, 2018) © 2019

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • Judith A. Beecher Indiana University Purdue University Indianapolis
  • Barbara L. Johnson Indiana University Indianapolis

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For courses in Intermediate Algebra.

Trusted content. Thoughtful innovation.

Math hasn't changed but students, and the way they learn, have. Intermediate Algebra, 13th Edition offers leading content written by trusted author-educators. In this revision of the Bittinger Paperback Worktext Series, the acclaimed Bittinger author team brings their extensive experience to developmental math courses, paired with strategic integration of content and technology. They focus on creating a foundation for students to study concepts, providing ample applications to reinforce understanding, and fostering retention to help students carry their successes forward to future courses and everyday life.

Hallmark features of this title

  • Margin Exercises help students apply concepts by solving problems that parallel the text Examples.
  • Section Exercises include Skill Maintenance, Synthesis, and real-data Applications.
  • Mid-Chapter Review with Concept Reinforcement, Guided Solutions, Mixed Review, and Understanding through Discussion and Writing helps students pause and actively review halfway through the chapter.
  • Summary and Review at the end of each chapter includes:
    • Vocabulary Reinforcement, Concept Reinforcement, Study Guide, Review Exercises,  and Understanding through Writing and Discussion exercises. 
    • Chapter Tests, Chapter Test Prep videos, and Cumulative Review that review and reinforce skills and concepts.

New and updated features of this title

  • New Chapter Opener applications with graphics use current data and applications to present the math in context. These applications are linked to exercises in the text to help students model, visualize and learn the math. 
  • New Student Activities begin with real-world data and guide students to examine a key concept in each chapter, while analyzing the data and connecting other concepts. There is 1 activity per chapter and they are available in the printed MyMathGuide.
  • New Check Your Understanding with Reading Check and Concept Check exercises at the beginning of each section exercise set give students the opportunity to assess their grasp of the skills and concepts before they move on to the homework.
  • New Skill Review in nearly every section of the text reviews a previously presented skill at the objective level where it is key to learning the new material.
  • New Just-in-Time Review modules at the beginning of the text review the key topics from previous courses that are prerequisites for the new material in this course. 

Features of MyLab Math for the 13th Edition

  • The updated learning path directs students to resources such as videos and animations for just-in-time support.
  • Just-in-Time Review Videos in MyLab Math offer a concise presentation of each topic with additional examples. New author-created Skill Review Videos offer a concise, stepped-out solution for each Skill Review Exercise. 
  • New Interactive Animations allow students to examine visual representations of concepts through both guided and open-ended exploration to further solidify their understanding of these concepts.
  • New Bittinger-specific Learning Catalytics questions use students' smartphones, tablets or laptops to engage them in more sophisticated tasks and thinking.
  • New Skill Builder offers 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.
  • New Guided Solutions exercises reinforce the step-by-step problem-solving process, while the new Drag & Drop functionality was applied to matching exercises throughout the course to better assess a student's understanding of the concepts.
  • Index of Activities
  • Index of Animations
  • Preface
  • Index of Applications
  • JUST-IN-TIME REVIEW
    1. The Set of Real Numbers
    2. Order for the Real Numbers
    3. Graphing Inequalities on the Number Line
    4. Absolute Value
    5. Add Real Numbers
    6. Opposites, or Additive Inverses
    7. Subtract Real Numbers
    8. Multiply Real Numbers
    9. Divide Real Numbers
    10. Exponential Notation (Part 1)
    11. Order of Operations
    12. Translate to an Algebraic Expression
    13. Evaluate Algebraic Expressions
    14. Equivalent Fraction Expressions
    15. The Commutative Laws and the Associative Laws
    16. The Distributive Laws
    17. Collecting Like Terms
    18. Removing Parentheses and Collecting Like Terms
    19. Exponential Notation (Part 2)
    20. Scientific Notation
  1. SOLVING LINEAR EQUATIONS AND INEQUALITIES
    • 1.1 Solving Equations
    • 1.2 Formulas and Applications
    • 1.3 Applications and Problem Solving
      • Mid-Chapter Review
    • 1.4 Sets, Inequalities, and Interval Notation
      • Translating for Success
    • 1.5 Intersections, Unions, and Compound Inequalities
    • 1.6 Absolute-Value Equations and Inequalities
    • Summary and Review
    • Test
  2. GRAPHS, FUNCTIONS, AND APPLICATIONS
    • 2.1 Graphs of Equations
    • 2.2 Functions and Graphs
    • 2.3 Finding Domain and Range
      • Mid-Chapter Review
    • 2.4 Linear Functions: Graphs and Slope
    • 2.5 More on Graphing Linear Equations
      • Visualizing for Success
    • 2.6 Finding Equations of Lines; Applications
    • Summary and Review
    • Test
    • Cumulative Review
  3. SYSTEMS OF EQUATIONS
    • 3.1 Systems of Equations in Two Variables
    • 3.2 Solving by Substitution
    • 3.3 Solving by Elimination
    • 3.4 Solving Applied Problems: Two Equations Translating for Success
      • Mid-Chapter Review
    • 3.5 Systems of Equations in Three Variables
    • 3.6 Solving Applied Problems: Three Equations
    • 3.7 Systems of Inequalities in Two Variables
    • Visualizing for Success
    • Summary and Review
    • Test
    • Cumulative Review
  4. POLYNOMIALS AND POLYNOMIAL FUNCTIONS
    • 4.1 Introduction to Polynomials and Polynomial Functions
    • 4.2 Multiplication of Polynomials
    • 4.3 Introduction to Factoring
    • 4.4 Factoring Trinomials: x2 + bx + c
      • Mid-Chapter Review
    • 4.5 Factoring Trinomials: ax2 + bx + c, a ≠1
    • 4.6 Special Factoring
      • Visualizing for Success
    • 4.7 Factoring: A General Strategy
    • 4.8 Applications of Polynomial Equations and Functions
    • Translating for Success
    • Summary and Review
    • Test
    • Cumulative Review
  5. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
    • 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying
    • 5.2 LCMs, LCDs, Addition, and Subtraction
    • 5.3 Division of Polynomials
    • 5.4 Complex Rational Expressions
      • Mid-Chapter Review
    • 5.5 Solving Rational Equations
    • 5.6 Applications and Proportions
      • Translating for Success
    • 5.7 Formulas and Applications
    • 5.8 Variation and Applications
    • Summary and Review
    • Test
    • Cumulative Review
  6. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
    • 6.1 Radical Expressions and Functions
    • 6.2 Rational Numbers as Exponents
    • 6.3 Simplifying Radical Expressions
    • 6.4 Addition, Subtraction, and More Multiplication
      • Mid-Chapter Review
    • 6.5 More on Division of Radical Expressions
    • 6.6 Solving Radical Equations
    • 6.7 Applications Involving Powers and Roots
      • Translating for Success
    • 6.8 The Complex Numbers
    • Summary and Review
    • Test
    • Cumulative Review
  7. QUADRATIC EQUATIONS AND FUNCTIONS
    • 7.1 The Basics of Solving Quadratic Equations
    • 7.2 The Quadratic Formula
    • 7.3 Applications Involving Quadratic Equations
      • Translating for Success
    • 7.4 More on Quadratic Equations
      • Mid-Chapter Review
    • 7.5 Graphing f(x) = a(x - h)2 + k
    • 7.6 Graphingf(x) = ax2 + bx + c
      • Visualizing for Success
    • 7.7 Mathematical Modeling with Quadratic Functions
    • 7.8 Polynomial Inequalities and Rational Inequalities
    • Summary and Review
    • Test
    • Cumulative Review
  8. EXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS
    • 8.1 Exponential Functions
    • 8.2 Composite Functions and Inverse Functions
    • 8.3 Logarithmic Functions
    • 8.4 Properties of Logarithmic Functions
      • Mid-Chapter Review
    • 8.5 Natural Logarithmic Functions
      • Visualizing for Success
    • 8.6 Solving Exponential Equations and Logarithmic Equations
    • 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions
    • Translating for Success
    • Summary and Review
    • Test
    • Cumulative Review
  9. CONIC SECTIONS
    • 9.1 Parabolas and Circles
    • 9.2 Ellipses
      • Mid-Chapter Review
    • 9.3 Hyperbolas
      • Visualizing for Success
    • 9.4 Nonlinear Systems of Equations
    • Summary and Review
    • Test
    • Cumulative Review

APPENDIXES

  • A. Fraction Notation
  • B. Determinants and Cramer’s Rule
  • C. Elimination Using Matrices
  • D. The Algebra of Functions

Answers

Guided Solutions

Glossary

Index

About our authors

Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." He also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters. 

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University - Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren and promoting charity projects for a children's camp. 

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and is a PhD candidate in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

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