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Intermediate Algebra: Graphs and Models, 4th Edition

By Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Published by Pearson

Published Date: Feb 15, 2011


The Bittinger Graphs and Models Series helps readers learn algebra by making connections between mathematical concepts and their real-world applications. Abundant applications, many of which use real data, offer students a context for learning the math. The authors use a variety of tools and techniques—including graphing calculators, multiple approaches to problem solving, and interactive features—to engage and motivate all types of learners.

Table of Contents



1. Basics of Algebra and Graphing

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential Notation and Scientific Notation

            Mid-Chapter Review

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

            Summary and Review



2. Functions, Linear Equations, and Models

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

            Mid-Chapter Review

2.5 The Algebra of Functions

            Summary and Review



3. Systems of Linear Equations and Problem Solving

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

            Mid-Chapter Review

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

            Summary and Review



Cumulative Review: Chapters 1—3


4. Inequalities

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

            Mid-Chapter Review

4.5 Inequalities in Two Variables

            Summary and Review



5. Polynomials and Polynomial Functions

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Trinomials of the Type x2 + bx + c

5.5 Trinomials of the Type ax2 + bx + c

5.6 Perfect-Square Trinomials and Differences of Squares

5.7 Sums or Differences of Cubes

            Mid-Chapter Review

5.8 Applications of Polynomial Equations

            Summary and Review



6. Rational Expressions, Equations, and Functions

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

            Mid-Chapter Review

6.4 Rational Equations

6.5 Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

            Summary and Review



Cumulative Review: Chapters 1—6


7. Exponents and Radical Functions

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

            Mid-Chapter Review

7.6 Solving Radical Equations

7.7 The Distance Formula, the Midpoint Formula, and Other Applications

7.8 The Complex Numbers

            Summary and Review



8. Quadratic Functions and Equations

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Studying Solutions of Quadratic Equations

8.4 Studying Solutions of Quadratic Equations

8.5 Equations Reducible to Quadratic

            Mid-Chapter Review

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial Inequalities and Rational Inequalities

            Summary and Review



9. Exponential Functions and Logarithmic Functions

9.1 Composite Functions and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

            Mid-Chapter Review

9.5 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

            Summary and Review



Cumulative Review: Chapters 1—9


10. Conic Sections

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

            Mid-Chapter Review

10.4 Nonlinear Systems of Equations

            Summary and Review



11. Sequences, Series, and the Binomial Theorem

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

            Mid-Chapter Review

11.4 The Binomial Theorem

            Summary and Review



Cumulative Review: Chapters 1-11




Photo Credits


Index of Applications

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Package ISBN-13: 9780321788788

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  • Video Resources on DVD for Intermediate Algebra: Graphs and Models, 4th Edition
    Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson
  • MyMathLab -- Valuepack Access Card, 6th Edition
    . . Pearson Education

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ISBN-10: 0-321-72555-7

ISBN-13: 978-0-321-72555-4

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