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Summary
Get Better Results with high quality digital content and an easy to use platform! NEW Media Update edition!The Miller/O'Neill/Hyde text paperback series 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 Introductory Algebra2e. 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: 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
1.6 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 Equations
2.3 Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises—Equations and Expressions
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 Linear Inequalities
Chapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line -- Problem Recognition Exercises—Linear Equations in Two Variables
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
3.7 Introduction to Functions
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 -- Problem Recognition Exercises—Systems of Equations
4.4 Applications of Linear Equations in Two Variables 4.5 Linear Inequalities and Systems of Inequalities in Two Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Exponents: Multiplying and Dividing Common Bases
5.2 More Properties of Exponents
5.3 Definitions of and
5.4 Scientific Notation -- Problem Recognition Exercises—Properties of Exponents
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials -- Problem Recognition Exercises—Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Factoring Special Patterns
6.6 Sum and Difference of Cubes -- Problem Recognition Exercises—General Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises—Expressions and Polynomial Equations
6.8 Applications of Quadratic Equations
Chapter 7: Rational Expressions
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises—Operations on Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations -- Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions
7.8 Variation
Chapter 8: Radicals
8.1 Introduction to Roots and Radicals
8.2 Simplifying Radicals
8.3 Addition and Subtraction of Radicals
8.4 Multiplication of Radicals
8.5 Division of Radicals and Rationalization -- Problem Recognition Exercises—Operations on Radicals
8.6 Radical Equations
8.7 Rational Exponents
Chapter 9: More Quadratic Equations
9.1 The Square Root Property
9.2 Completing the Square
9.3 Quadratic Formula -- Problem Recognition Exercises—Solving Quadratic Equations