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Elementary and Intermediate Algebra

Elementary and Intermediate Algebra - 4th edition

ISBN13: 978-0321378651

Cover of Elementary and Intermediate Algebra 4TH 06 (ISBN 978-0321378651)
ISBN13: 978-0321378651
ISBN10: 0321378652
Cover type:
Edition/Copyright: 4TH 06
Publisher: Addison-Wesley Longman, Inc.
Published: 2006
International: No

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Elementary and Intermediate Algebra - 4TH 06 edition

ISBN13: 978-0321378651

Marvin Bittinger, David Ellenbogen and Barbara Johnson

ISBN13: 978-0321378651
ISBN10: 0321378652
Cover type:
Edition/Copyright: 4TH 06
Publisher: Addison-Wesley Longman, Inc.

Published: 2006
International: No
Summary

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

  • Connecting the Concepts feature highlights the importance of connecting concepts and invites students to pause and check that they understand the ''big picture.'' This helps ensure that students understand how concepts work together in several sections at once. For example, students are alerted to shifts made from solving equations to writing equivalent expressions. The pacing of this feature helps students increase their comprehension and maximize their retention of key concepts.
  • Chapter Openers Each chapter opens with a list of the sections to be covered and a real-life application that includes a testimonial from a person in that field to show how integral mathematics is in solving real problems. Real data is often used in these applications as well as in many other exercises and ''on the job'' examples (like those that students might find in the workforce) to increase student interest.
  • Aha! In many exercise sets, students will see an Aha! icon. This icon indicates to students that there is a simpler way to complete the exercise without going through a lengthy computation. It's then up to the student to discover that simpler approach. The Aha! icon is used the first time a new insight can be used on a particular type of exercise. After that first time, it's up to the student to determine if and when that particular insight can be reused.
  • Optional Collaborative Corners give students the opportunity to work as a group to solve problems or to perform specially designed activities. There are approximately two Collaborative Corners per chapter, each one appearing after the appropriate exercise set.
  • Optional Technology Connections appear throughout each chapter to help students visualize, through the use of technology, a concept that they have just learned. This feature is reinforced in many exercise sets through exercises marked with a graphing calculator icon.
  • 5-Step Problem-Solving Process A hallmark feature to all Bittinger Texts, the 5-step problem-solving process is introduced early in the text and then modeled in every application problem throughout the rest of the text, providing students with a foundation for starting and completing the problem-solving process.
  • Study Skills These remarks, located in the margins near the start of each section, provide suggestions for successful study habits and can be extended to courses other than algebra. Ranging from ideas for better time management to how to prepare for tests, these comments can be useful to even experience college students.

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

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