Beginning and Intermediate Algebra by Julie Miller

Beginning and Intermediate Algebra

byJulie Miller, Molly O'Neill, Nancy Hyde

Hardcover | January 28, 2010

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The Miller/O'Neill/Hyde team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra 2e. 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.

About The Author

Molly O'Neill is the food columnist for the New York Times Sunday Magazine and a reporter for the "Style" section of the New York Times. She grew up in Columbus, Ohio as the oldest child, and only daughter, of five children. For ten years she worked as a chef and studied cooking at La Verenne in Paris. Twelve years ago she began writin...
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Title:Beginning and Intermediate AlgebraFormat:HardcoverDimensions:11 × 8.6 × 1.8 inPublished:January 28, 2010Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077350081

ISBN - 13:9780077350086

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Extra Content

Table of Contents

Chapter R: Reference

R.1Study Tips


R.3Introduction to Geometry

Chapter 1: The Set of Real Numbers

1.1 Sets of Numbers and the Real Number Line

1.2 Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

Problem Recognition Exercises - Addition and Subtraction of Signed Numbers

1.5 Multiplication and Division of Real Numbers

1.6Properties of Real Numbers and Simplifying Expressions

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2: Linear Equations and Inequalities

2.1Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2Solving Linear Equations

2.3Linear Equations: Clearing Fractions and Decimals

2.4Applications of Linear Equations: Introduction to Problem Solving

2.5Applications Involving Percents

2.6Formulas and Applications of Geometry

2.7Linear Inequalities

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises Chapters 1 - 2

Chapter 3: Graphing Linear Equations in Two Variables

3.1Rectangular Coordinate System

3.2Linear Equations in Two Variables

3.3Slope of a Line

3.4Slope-Intercept Form of a Line

3.5Point-Slope Formula

3.6Applications of Linear Equations

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises Chapters 1 - 3

Chapter 4: Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition Method

4.4Applications of Linear Equations in Two Variables

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises Chapters 1 - 4

Chapter 5: Polynomials and Properties of Exponents

5.1Exponents: Multiplying and Dividing Common Bases

5.2More Properties of Exponents

5.3Definitions of b0 and b-n

5.4 Scientific NotationProblem Recognition Exercises - Properties of Exponents

5.5Addition and Subtraction of Polynomials

5.6Multiplication of Polynomials

5.7 Division of Polynomials

Problem Recognition Exercises - Operations on Polynomial

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises, Chapters 1-5

Chapter 6: Factoring Polynomials

6.1Greatest Common Factor and Factoring by Grouping

6.2Factoring Trinomials of the form x2 + bx + c (Optional)

6.3Factoring Trinomials: Trial-and-Error Method

6.4Factoring Trinomials: AC-Method

6.5Factoring Binomials

6.6 General Factoring Summary

6.7Solving Equations by Using the Zero Product Rule

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises Chapters 1 - 6

Chapter 7: Rational Expressions

7.1Introduction to Rational Expressions

7.2Multiplication and Division of Rational Expressions

7.3Least Common Denominator

7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises - Operations on Rational Expressions

7.5Complex Fractions

7.6Rational EquationsProblem Recognition Exercises - Comparing Rational Equations and Rational Expressions

7.7Applications of Rational Equations, Ratios and Proportions

7.8 Variation (Optional)

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises Chapters 1 - 7

Chapter 8: Introduction to Relations and Functions

8.1Introduction to Relations

8.2Introduction to Functions

8.3Graphs of Functions


Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises, Chapters 1 - 8

Chapter 9: Systems of Linear Equations in Three Variables

9.1Systems of Linear Equations in Three Variables

9.2Applications of Systems of Linear Equations in Three Variables

9.3Solving systems of Linear Equations Using Matrices

9.4Determinants and Cramer's Rule

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises, Chapters 1 - 9

Chapter 10: More Equations and Inequalities

10.1Compound Inequalities

10.2Polynomial and Rational Inequalities

10.3Absolute Value Equations

10.4Absolute Value Inequalities

Problem Recognition Exercises - Equations and Inequalities

10.5Linear Inequalities in Two Variables

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises, Chapters 1 - 10

Chapter 11: Radicals and Complex Numbers

11.1Definition of an nth-Root

11.2Rational Exponents

11.3Simplifying Radical Expressions

11.4Addition and Subtraction of Radicals

11.5Multiplication of Radicals


Problem Recognition Exercises - Operations on Radicals

11.7Radical Equations

11.8Complex Numbers

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises, Chapters 1 - 11

Chapter 12: Quadratic Equations and Functions

12.1Square Root Property and Completing the Square

12.2Quadratic Formula

12.3Equations in Quadratic Form

12.4 Graphs of Quadratic Functions

12.5 Vertex of a Parabola and Applications

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Test

Cumulative Review Exercises, Chapters 1 - 12

Chapter 13: Exponential and Logarithmic Functions

13.1Algebra and Composition of Functions

13.2Inverse Functions

13.3Exponential Functions

13.4Logarithmic Functions

13.5Properties of Logarithms

13.6The Irrational Number, e

Problem Recognition Exercises - Logarithmic and Exponential Forms

13.7 Logarithmic and Exponential Equations

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Test

Cumulative Review Exercises, Chapters 1 - 13

Chapter 14:Conic Sections and Nonlinear Systems

14.1Distance Formulas and Circles

14.2More on the Parabola

14.3The Ellipse and Hyperbola

14.4Nonlinear Systems of Equations in Two Variables

14.5Nonlinear Inequalities and Systems of Inequalities

Chapter 14 Summary

Chapter 14 Review Exercises

Chapter 14 Test

Cumulative Review Exercises, Chapters 1 - 14

Beginning Algebra Review:

Review ASet of Real Numbers

Review BLinear Equations in One Variable

Review CLinear Equations in Two Variables

Review DSystems of Linear Equations in Two Variables

Review EPolynomials and Properties of Exponents

Review FFactoring Polynomials and Solving Quadratic Equations

Review G Rational Expressions


A.1Binomial Expansions

A.2Sequences and Series

A.3 Arithmetic and Geometric Sequences and Series

Student Answer Appendix