The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.
Problem Recognition Exercises-Equations versus Expressions1.2 Applications of Linear Equations in One Variable 1.3 Applications of Geometry and Literal Equations1.4 Linear Inequalities in One Variable1.5 Compound Inequalities1.6 Absolute Value Equations1.7 Absolute Value Inequalities
Problem Recognition Exercises-Identifying Equations and Inequalities
Problem Recognition Exercises-Characteristics of Linear Equations2.4 Applications of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Functions
Problem Recognition Exercises-Characteristics of Relations
Problem Recognition Exercises-Solving Systems of Linear Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables3.6 Systems of Linear Equations in Three Variables and Applications3.7 Solving Systems of Linear Equations by Using Matrices
Problem Recognition Exercises-Operations on Polynomials4.5 Greatest Common Factor and Factoring by Grouping4.6 Factoring Trinomials4.7 Factoring Binomials
Problem Recognition Exercises-Factoring Summary4.8 Solving Equations by Using the Zero Product Rule
Problem Recognition Exercises-Operations on Rational Expressions5.5 Solving Rational Equations
Problem Recognition Exercises-Rational Equations versus Expressions5.6 Applications of Rational Equations and ProportionsVariation
Problem Recognition Exercises-Simplifying Radical Expressions6.6 Division of Radicals and Rationalization6.7 Solving Radical Equations6.8 Complex Numbers
Problem Recognition Exercises-Quadratic and Quadratic Type Equations7.4 Graphs of Quadratic Functions7.5 Vertex of a Parabola: Applications and Modeling7.6 Polynomial and Rational Inequalities
Problem Recognition Exercises-Recognizing Equations and Inequalities
Problem Recognition Exercises-Identifying Graphs of Functions8.5 Properties of Logarithms8.6 The Irrational Number e and Change of Base
Problem Recognition Exercises-Logarithmic and Exponential Forms8.7 Logarithmic and Exponential Equations and Applications
Problem Recognition Exercises-Formulas and Conic Sections9.4 Nonlinear systems of Equations in Two Variables9.5 Nonlinear Inequalities and Systems of Inequalities
Problem Recognition Exercises-Identifying Arithmetic and Geometric Series
Classroom Examples To ensure that the classroom experience also matches the examples in the text and the practice exercises, the authors have included references to even-numbered exercises to be used as classroom examples. These exercises are highlighted in the Practice Exercises at the end of each section.
Chapter Openers The chapter openers help students get better results through engaging Puzzles and Games that introduce the chapter concepts and ask `Are you prepared?"
Tip and Avoiding Mistakes Boxes Tip and Avoiding Mistakes boxes have been created based on the authors? classroom experiences and have been integrated into the worked examples. Thee pedagogical tools will help students get better results by learning how to work through a problem using clearly defined step-by-step methodology.
Problem Recognition Exercises Problem Recognition Exercises present a collection of problems that look similar to a student upon first glance, but are actually quite different in the manner of their individual solutions. Students sharpen critical thinking skills and better develop their `solution recall? to help them distinguish the method needed to solve an exercise, an essential skill in developmental mathematics.
Student Centered Applications The Board of Advisors partnered with our authors to bring the best applications from every region in the country. These applications include real data and topics that are more relevant and interesting to today's student.
Group Activities Each chapter concludes with a Group Activity to promote classroom discussion and collaboration, helping students not only to solve problems but to explain their solutions for better mathematical mastery. Group Activities are great for both full-time and adjunct instructors, bringing a more interactive approach to teaching mathematics. All required materials, activity time, and suggested group sixes are provided in the end-of-chapter material.
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