Intermediate Algebra (Hardcover) / Edition 4

Intermediate Algebra (Hardcover) / Edition 4

by Julie Miller, Molly O'Neill, Nancy Hyde

ISBN-10: 0073384496

ISBN-13: 9780073384498

Pub. Date: 01/03/2013

Publisher: McGraw-Hill Higher Education

The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 3e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the…  See more details below


The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 3e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates 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. The authors included in this edition Problem-Recognition Exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises is to help students overcome what is sometimes a natural inclination toward applying problem-solving algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the previous edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. 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. For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone.

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McGraw-Hill Higher Education
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Table of Contents

Chapter RReview of Basic Algebraic Concepts

Section R.1Study Tips

Group Activity: Becoming a Successful Student

Section R.2Sets of Numbers and Interval Notation

Section R.3Operations on Real Numbers

Section R.4Simplifying Algebraic Expressions

Chapter R Summary

Chapter R Review Exercises

Chapter R Test

Chapter 1Linear Equations and Inequalities in One Variable

Section 1.1Linear Equations in One Variable

Problem Recognition Exercises: Equations versus Expressions

Section 1.2Applications of Linear Equations in One Variable

Section 1.3Applications to Geometry and Literal Equations

Section 1.4Linear Inequalities in One Variable

Section 1.5Compound Inequalities

Section 1.6Absolute Value Equations

Section 1.7Absolute Value Inequalities

Problem Recognition Exercises: Identifying Equations and Inequalities

Group Activity: Understanding the Symbolism of Mathematics

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2Linear Equations in Two Variables and Functions

Section 2.1Linear Equations in Two Variables

Section 2.2Slope of a Line and Rate of Change

Section 2.3Equations of a Line

Problem Recognition Exercises: Characteristics of Linear Equations

Section 2.4Applications of Linear Equations and Modeling

Section 2.5Introduction to Relations

Section 2.6Introduction to Functions

Section 2.7Graphs of Basic Functions

Problem Recognition Exercises: Characteristics of Relations

Group Activity: Deciphering a Coded Message

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Chapters 1-2 Cumulative Review Exercises

Chapter 3Systems of Linear Equations and Inequalities

Section 3.1Solving Systems of Linear Equations by the Graphing Method

Section 3.2Solving Systems of Linear Equations by the Substitution Method

Section 3.3Solving Systems of Linear Equations by the Addition Method

Problem Recognition Exercises: Solving Systems of Linear Equations

Section 3.4Applications of Systems of Linear Equations in Two Variables

Section 3.5Linear Inequalities and Systems of Linear Inequalities in Two Variables

Section 3.6Systems of Linear Equations in Three Variables and Applications

Section 3.7Solving Systems of Linear Equations by Using Matrices

Group Activity: Creating a Quadratic Model of the Form y = at2 + bt + c

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Chapters 1-3 Cumulative Review Exercises

Chapter 4Polynomials

Section 4.1Properties of Integer Exponents and Scientific Notation

Section 4.2Addition and Subtraction of Polynomials and Polynomial Functions

Section 4.3Multiplication of Polynomials

Section 4.4Division of Polynomials

Problem Recognition Exercises: Operations on Polynomials

Section 4.5Greatest Common Factor and Factoring by Grouping

Section 4.6Factoring Trinomials

Section 4.7Factoring Binomials

Problem Recognition Exercises: Factoring Summary

Section 4.8Solving Equations by Using the Zero Product Rule

Group Activity: Investigating Pascal’s Triangle

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

Chapter 5Rational Expressions and Rational Equations

Section 5.1Rational Expressions and Rational Functions

Section 5.2Multiplication and Division of Rational Expressions

Section 5.3Addition and Subtraction of Rational Expressions

Section 5.4Complex Fractions

Problem Recognition Exercises: Operations on Rational Expressions

Section 5.5Solving Rational Equationsv
Problem Recognition Exercises: Rational Equations vs. Expressions

Section 5.6Applications of Rational Equations and Proportions

Section 5.7Variation

Group Activity: Computing the Future Value of an Investment

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Chapters 1-5 Cumulative Review Exercises

Chapter 6Radicals and Complex Numbers

Section 6.1Definition of an nth Root

Section 6.2Rational Exponents

Section 6.3Simplifying Radical Expressions

Section 6.4Addition and Subtraction of Radicals

Section 6.5Multiplication of Radicals

Problem Recognition Exercises: Simplifying Radical Expressions

Section 6.6Division of Radicals and Rationalization

Section 6.7Solving Radical Equations

Section 6.8Complex Numbers

Group Activity: Margin of Error of Survey Results

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Chapters 1-6 Cumulative Review Exercises

Chapter 7Quadratic Equations and Functions

Section 7.1Square Root Property and Completing the Square

Section 7.2Quadratic Formula

Section 7.3Equations in Quadratic Form

Problem Recognition Exercises: Quadratic and Quadratic Type Equations

Section 7.4Graphs of Quadratic Functions

Section 7.5Vertex of a Parabola: Applications and Modeling

Section 7.6Nonlinear Inequalities

Problem Recognition Exercises: Recognizing Equations and Inequalities

Group Activity: Creating a Quadratic Model of the Form y = a(x – h)2 + k

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

Chapter 8Exponential and Logarithmic Functions and Applications

Section 8.1Algebra and Composition of Functions

Section 8.2Inverse Functions

Section 8.3Exponential Functions

Section 8.4Logarithmic Functions

Problem Recognition Exercises: Identifying Graphs of Functions

Section 8.5Properties of Logarithms

Section 8.6The Irrational Number and Change of Base

Problem Recognition Exercises: Logarithmic and Exponential Forms

Section 8.7Logarithmic and Exponential Equations and Applications

Group Activity: Creating a Population Model

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

Chapter 9Conic Sections

Section 9.1Distance Formula, Midpoint Formula, and Circles

Section 9.2More on the Parabola

Section 9.3The Ellipse and Hyperbola

Problem Recognition Exercises: Formulas and Conic Sections

Section 9.4Nonlinear Systems of Equations in Two Variables

Section 9.5Nonlinear Inequalities and Systems of Inequalities

Group Activity: Investigating the Graphs of Conic Sections on a Calculator

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Chapters 1-9 Cumulative Review Exercises

Chapter 10Binomial Expansions, Sequences, and Series

Section 10.1Binomial Expansions

Section 10.2Sequences and Series

Section 10.3Arithmetic Sequences and Series

Section 10.4Geometric Sequences and Series

Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences

Group Activity: Investigating Mean and Standard Deviation

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Chapters 1-10 Cumulative Review Exercises

Additional Topics Appendix

Section A.1Determinants and Cramer’s Rule

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