Beginning Algebra

© 2018
by Julie Miller, Molly O'neill, Nancy Hyde

5th Edition 816 Pages Paperback / softback
9781259610257 125961025X
  • Description
  • Table of Contents
  • Features
The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning 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.

Beginning Algebra, Miller, O'Neill, Hyde, 5 edition

Chapter 1: The Set of Real Numbers

1.1 Fractions1.2 Introduction to Algebra and the Set of Real Numbers1.3 Exponents, Square Roots, and the Order of Operations1.4 Addition of Real Numbers1.5 Subtraction of Real Numbers

Problem Recognition Exercises?Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers

Problem Recognition Exercises?Adding, Subtracting, Multiplying, and Dividing Real Numbers

1.7 Properties of Real Numbers and Simplifying Expressions

Chapter 2: Linear Equations and Inequalities

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises?Equations vs.Expressions

2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear Inequalities

Chapter 3: Graphing Linear Equations in Two Variables

3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises?Linear Equations in Two Variables

3.5 Point-Slope Formula3.6 Applications of Linear Equations and Modeling

Chapter 4: Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method

Problem Recognition Exercises?Systems of Equations

4.4 Applications of Linear Equations in Two Variables4.5 Linear Inequalities and Systems of Inequalities in Two Variables

Chapter 5: Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-nProblem Recognition Exercises?Properties of Exponents5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials and Special Products5.7 Division of Polynomials

Problem Recognition Exercises?Operations on Polynomials

Chapter 6: Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2 + bx + c 6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes

Problem Recognition Exercises?Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule

Problem Recognition Exercises? Polynomial Expressions versus Polynomial Equations

6.8 Applications of Quadratic Equations

Chapter 7: Rational Expressions and Equations

7.1 Introduction to Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions

Problem Recognition Exercises?Operations on Rational Expressions

7.5 Complex Fractions7.6 Rational Equations

Problem Recognition Exercises?Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions7.8 Variation

Chapter 8: Radicals

8.1 Introduction to Roots and Radicals8.2 Simplifying Radicals8.3 Addition and Subtraction of Radicals8.4 Multiplication of Radicals8.5 Division of Radicals and Rationalization

Problem Recognition Exercises?Operations on Radicals

8.6 Radical Equations8.7 Rational Exponents

Chapter 9: Quadratic Equations, Complex Numbers, and Functions

9.1 The Square Root Property9.2 Completing the Square9.3 Quadratic Formula

Problem Recognition Exercises?Solving Different Types of Equations

9.4 Complex Numbers9.5 Graphing Quadratic Equations9.6 Introduction to Functions

Additional Topics Appendix

A.1 Decimals and PercentsA.2 Mean, Median, and ModeA.3 Introduction to GeometryA.4 Converting Units of Measurement

Appendix B (Online): Introduction to Modeling

New to this Edition

Connect Math Hosted by ALEKS

Connect Math Hosted by ALEKS Corp. is an exciting new assignment and assessment ehomework platform. Instructors can assign an AI-driven ALEKS Assessment to identify the strengths and weaknesses of each student at the beginning of the term rather than after the first exam. Assignment creation and navigation is efficient and intuitive and the gradebook, based on instructor feedback, has a straightforward design and allows flexibility to import and export additional grades. The online exercises and guided solutions were developed with the help of our experienced instructors and ALEKS Corporation to ensure consistency between the text and digital resources.

ALEKS- Assessment and LEarning in Knowledge Spaces is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. ALEKS then instructs the student on the topics she is most ready to learn. As a student works through a course, ALEKS periodically reassesses the student to ensure that topics learned are also retained. ALEKS courses are very complete in their topic coverage and ALEKS avoids multiple-choice questions. A student who shows a high level of mastery of an ALEKS course will be successful in the actual course she is taking.

Retained Features

Step-by-Step Worked Examples

The worked examples offer a clear, concise methodology that replicates the mathematical processes used in the authors? classroom lectures.

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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