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The goal of Elementary and Intermediate Algebra: Concepts and Applications, 4e is to help today's students learn and retain mathematical concepts by preparing them for the transition from ''skills-oriented'' elementary and intermediate 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/Johnson series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This revision has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics even 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.
Features
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
Connecting the Concepts
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 Sums or Differences of Cubes
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
Formulas and Equations
Chapter 7 Functions and Graphs
Introduction to Functions
Domain and Range
Graphs of Functions (including brief review of graphing)
Connecting the Concepts
The Algebra of Functions
Variation and Problem Solving
Chapter 8 Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Connecting the Concepts
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Connecting the Concepts
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
Chapter 9 Inequalities and Problem Solving
Interval Notation and Problem Solving
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Connecting the Concepts
Applications Using Linear Programming
Chapter 10 Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
Connecting the Concepts
Geometric Applications
The Complex Numbers
Chapter 11 Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Applications Involving Quadratic Equations
Studying Solutions of Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
Connecting the Concepts
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
Chapter 12 Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Connecting the Concepts
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
Chapter 13 Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Connecting the Concepts
Nonlinear Systems of Equations
Chapter 14 Sequences, Series, and The Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Connecting the Concepts
Chapter R Elementary Algebra Review
Introduction to Algebraic Expressions
Equations, Inequalities, and Problem Solving
Introduction to Graphing
Polynomials
Polynomials and Factoring Rational Expressions and Equations
Appendix A: Sets
Appendix B: Synthetic Division
Table 1: Fractional and Decimal Equivalents
Table 2: Squares and Square Roots
Table 3: Geometric Formulas
Answers
Glossary
Index
Index of Applications
Other Editions for Elementary and Intermediate Algebra
Marvin Bittinger, David Ellenbogen and Barbara Johnson
ISBN13: 978-0321378651The goal of Elementary and Intermediate Algebra: Concepts and Applications, 4e is to help today's students learn and retain mathematical concepts by preparing them for the transition from ''skills-oriented'' elementary and intermediate 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/Johnson series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This revision has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics even 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.
Features
Table of Contents
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
Connecting the Concepts
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 Sums or Differences of Cubes
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
Formulas and Equations
Chapter 7 Functions and Graphs
Introduction to Functions
Domain and Range
Graphs of Functions (including brief review of graphing)
Connecting the Concepts
The Algebra of Functions
Variation and Problem Solving
Chapter 8 Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Connecting the Concepts
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Connecting the Concepts
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
Chapter 9 Inequalities and Problem Solving
Interval Notation and Problem Solving
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Connecting the Concepts
Applications Using Linear Programming
Chapter 10 Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
Connecting the Concepts
Geometric Applications
The Complex Numbers
Chapter 11 Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Applications Involving Quadratic Equations
Studying Solutions of Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
Connecting the Concepts
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
Chapter 12 Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Connecting the Concepts
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
Chapter 13 Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Connecting the Concepts
Nonlinear Systems of Equations
Chapter 14 Sequences, Series, and The Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Connecting the Concepts
Chapter R Elementary Algebra Review
Introduction to Algebraic Expressions
Equations, Inequalities, and Problem Solving
Introduction to Graphing
Polynomials
Polynomials and Factoring Rational Expressions and Equations
Appendix A: Sets
Appendix B: Synthetic Division
Table 1: Fractional and Decimal Equivalents
Table 2: Squares and Square Roots
Table 3: Geometric Formulas
Answers
Glossary
Index
Index of Applications
Other Editions for Elementary and Intermediate Algebra