Elementary and Intermediate Algebra : Concepts and Applications: A Combined Approach

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

• ISBN13: 9780201719666
• ISBN10: 0201719665
• Edition: 3rd
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Addison Wesley

Summary

The Third Edition of Elementary and Intermediate Algebra: Concepts and Applications, a Combined Approach 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 hardback series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. With this revision, the authors have maintained all the hallmark features that have made this series so successful, including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% more real-data applications, and 50% new Skill Maintenance Exercises . This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them.

Table of Contents

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

Equations, Inequalities, and Problem Solving

Solving Equations

Using the Principles Together

Formulas

Applications with Percent

Problem Solving

Solving Inequalities

Solving Applications with Inequalities

Introduction to Graphing

Interpreting Graphs and Ordered Pairs

Graphing Linear Equations

Graphing and Intercepts

Rates

Slope

Slope-Intercept Form

Point-Slope Form

Polynomials

Exponents and Their Properties

Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Special Products

Polynomials in Several Variables

Division of Polynomials

Negative Exponents and Scientific Notation

Polynomials and Factoring

Introduction to Factoring

Factoring Trinomials of the Typex^2+bx+c

Factoring Trinomials of the Typeax^2+bx+c

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Solving Polynomial Equations by Factoring

Solving Applications

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

Applications Using Rational Equations and Proportions

Formulas

Functions and Graphs

Introduction to Functions

Domain and Range

Graphs of Functions

The Algebra of Functions

Variation and Problem Solving

Systems of Equations and Problem Solving

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Solving Applications: Systems of Two Equations

Systems of Equations in Three Variables

Solving Applications: Systems of Three Equations

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economic Applications

Inequalities and Problem Solving

Interval Notation and Problem Solving

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

Exponents and Radical Functions

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

Geometric Applications

The Complex Numbers

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

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomi

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