Prealgebra & Introductory Algebra

Get Better Results with high quality digital content and an easy to use platform!NEW! For the first time, the Miller/O'Neill/Hyde author team now offers a combined Prealgebra and Introductory Algebra text for those seeking to combine those topics into one volume! In addition, this text has aligned with a new online homework platform – Connect Math Hosted by ALEKS Corp. Based on a comprehensive market development process involving full-time and adjunct math faculty, Connect Math Hosted by ALEKS was built to excel in two areas: quality content and ease of use. A team of instructors and subject matter experts created the stepped out solutions for each algorithmic question, pulled from exercises in the text, to follow the exact methodology and language of the text in order to remain consistent across print and digital materials. The workflow is intuitive so that instructors can deliver assignments, quizzes, and tests easily online. Online study assets are specifically tied to the textbook. Connect Math Hosted by ALEKS also combines an online homework manager with an artificial-intelligent, diagnostic assessment to gauge the students’ current knowledge. With Connect Math Hosted by ALEKS Plus, students have 24/7 online access to an integrated, media-rich eBook. The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Prealgebra and Introductory Algebra 2e. 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 in this edition 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.

Table of Contents:
Chapter 1: Whole Numbers 1.1 Study Tips 1.2 Introduction to Whole Numbers 1.3 Addition and Subtraction of Whole Numbers and Perimeter 1.4 Rounding and Estimating 1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole Numbers 1.7 Exponents, Algebraic Expressions, and the Order of Operations 1.8 Mixed Applications and Computing Mean Chapter 2: Integers and Algebraic Expressions 2.1 Integers, Absolute Value, and Opposite 2.2Addition of Integers 2.3Subtraction of Integers 2.4Multiplication and Division of Integers 2.5Order of Operations and Algebraic Expressions Chapter 3: Solving Equations 3.1Simplifying Expressions and Combining Like Terms 3.2Addition and Subtraction Properties of Equality 3.3Multiplication and Division Properties of Equality 3.4Solving Equations with Multiple Steps 3.5Applications and Problem Solving Chapter 4: Fractions and Mixed Numbers 4.1Introduction to Fractions and Mixed Numbers 4.2Simplifying Fractions 4.3Multiplication and Division of Fractions 4.4Least Common Multiple and Equivalent Fractions 4.5Addition and Subtraction of Fractions 4.6Estimation and Operations on Mixed Numbers 4.7Order of Operations and Complex Fractions 4.8Solving Equations Containing Fractions Chapter 5:Decimals 5.1Decimal Notation and Rounding 5.2Addition and Subtraction of Decimals 5.3Multiplication of Decimals and Applications with Circles 5.4Division of Decimals 5.5Fractions, Decimals, and the Order of Operations 5.6Solving Equations Containing Decimals Chapter 6:Ratio, Proportion, and Percent 6.1Ratios 6.2Rates 6.3Proportions and Applications of Proportions 6.4Percents, Fractions, and Decimals 6.5Peent Proportions and Applications 6.6Percent Equations and Applications 6.7Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease 6.8Simple and Compound Interest Chapter 7:Measurement and Geometry 7.1U.S. Customary Units of Measurement 7.2Metric Units of Measurement 7.3Converting Between U.S. Customary and Metric Units 7.4Medical Applications Involving Measurement 7.5Lines and Angles 7.6Triangles, the Pythagorean Theorem, and Similar Triangles 7.7Perimeter, Circumference, and Area 7.8Volume and Surface Area Chapter 8:Introduction to Statistics 8.1Tables, Bar Graphs, Pictographs, and Line Graphs 8.2Frequency Distributions and Histograms 8.3Circle Graphs 8.4Mean, Median, and Mode Chapter 9:Equations and Inequalities 9.1Sets of Numbers and the Real Number Line 9.2Solving Linear Equations 9.3Linear Equations: Clearing Fractions and Decimals 9.4Applications of Linear Equations and Problem Solving 9.5Applications Involving Percents 9.6Literal Equations and Applications of Geometry 9.7Linear Inequalities Chapter 10: Graphing Linear Equations in Two Variables 10.1 Rectangular Coordinate System 10.2 Linear Equations in Two Variables 10.3 Slope of a Line and Rate of Change 10.4 Slope-Intercept Form of a Line 10.5 Point-Slope Formula 10.6 Applications of Linear Equations Chapter 11: Systems of Linear Equations in Two Variables 11.1 Solving Systems of Equations by the Graphing Method 11.2 Solving Systems of Equations by the Substitution Method 11.3 Solving Systems of Equations by the Addition Method 11.4 Applications of Linear Equations in Two Variables 11.5 Linear Inequalities and Systems of Inequalities in Two Variables Chapter 12: Polynomials and Properties of Exponents 12.1 Exponents: Multiplying and Dividing Common Bases 12.2 More Properties of Exponents 12.3 Definitions of b^0 and b^-n 12.4 Scientific Notation 12.5 Addition and Subtraction of Polynomials 12.6 Multiplication of Polynomials 12.7 Division of Polynomials Chapter 13: Factoring Polynomials 13.1 Greatest Common Factor and Factoring by Grouping 13.2 Factoring Trinomials of the Form x^2 + bx + c 13.3 Factoring Trinomials: Trial-and-Error Method 13.4 Factoring Trinomials: AC-Method 13.5 Difference of Squares and Perfect SquareTrinomialss 13.6 Solving Equations Using the Zero Product Rule 13.7 Applications of Quadratic Equations Chapter 14: Rational Expressions 14.1 Introduction to Rational Expressions 14.2 Multiplication and Division of Rational Expressions 14.3 Least Common Denominator 14.4 Addition and Subtraction of Rational Expressions 14.5 Complex Fractions 14.6 Rational Equations 14.7 Applications of Rational Equations and Proportions Chapter 15: Radicals 15.1 Introduction to Roots and Radicals 15.2 Simplifying Radicals 15.3 Addition and Subtraction of Radicals 15.4 Multiplication of Radicals 15.5 Division of Radicals and Rationalization 15.6 Radical Equations Chapter 16: More Quadratic Equations and Functions 16.1 The Square Root Property 16.2 Completing the Square 16.3 Quadratic Formula 16.4 Graphing Quadratic Equations 16.5 Introduction to Functions Appendix A.1Sum and Difference of Cubes A.2Introduction to Probability A.3Variation

About the Author :
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students. Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics. I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students. Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.