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

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2002-01-01
  • Publisher: Addison Wesley
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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
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
Slope-Intercept Form
Point-Slope Form
Exponents and Their Properties
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
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
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