The goal of Elementary Algebra: Concepts and Applications, 7e is to help today’s students learn and retain mathematical concepts by preparing them for the transition from “skills-oriented” elementary algebra courses to more “concept-oriented” college-level mathematics courses, as well as to make the transition from “skill” to “application.” This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This edition has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics more accessible to students. Among the features added are new Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter.
Table of Contents:
Note: Each chapter ends with a Study Summary, Review Exercises, and a Chapter Test. A Cumulative Review is provided after Chapters 3, 6, and 9.
CHAPTER 1: Introduction to Algebraic Expressions
Introduction to Algebra
The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
Connecting the Concepts
CHAPTER 2: Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Connecting the Concepts
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
CHAPTER 3: Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
Graphing Linear Equations
Graphing and Intercepts
Rates
Slope
Slope–Intercept Form
Connecting the Concepts
Point–Slope Form
CHAPTER 4: Polynomials
Exponents and Their Properties
Polynomials
Addition and Subtraction of Polynomials
Connecting the Concepts
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
Negative Exponents and Scientific Notation
CHAPTER 5: Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring Trinomials of the Type ax2 + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring: A General Strategy
Connecting the Concepts
Solving Quadratic Equations by Factoring
Connecting the Concepts
Solving Applications
CHAPTER 6: Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Connecting the Concepts
Applications Using Rational Equations and Proportions
CHAPTER 7: Systems and More Graphing
Systems of Equations and Graphing
Systems of Equations and Substitution
Systems of Equations and Elimination
More Applications Using Systems
Connecting the Concepts
Linear Inequalities in Two Variables
Systems of Linear Inequalities
Direct and Inverse Variation
CHAPTER 8: Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions
Multiplying and Simplifying Radical Expressions
Quotients Involving Square Roots
Radical Expressions with Several Terms
Radical Equations
Connecting the Concepts
Applications Using Right Triangles
Higher Roots and Rational Exponents
CHAPTER 9: Quadratic Equations
Solving Quadratic Equations: The Principle of Square Roots
Solving Quadratic Equations: Completing the Square
The Quadratic Formula and Applications
Connecting the Concepts
Formulas and Equations
Connecting the Concepts
Complex Numbers as Solutions of Quadratic Equations
Graphs of Quadratic Equations
Functions
Appendix A: Factoring Sums of Differences of Cubes
Appendix B: Mean, Median, and Mode
Appendix C: Sets
Table 1: Fraction and Decimal Equivalents
Table 2: Squares and Square Roots with Approximation to Three Decimal Places
Table 3: Geometric Formulas
Answers
Glossary
Index
Index of Applications
