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Intermediate Algebra, 2nd Edition

By Tom Carson, Bill E. Jordan

Published by Pearson

Published Date: Mar 13, 2006

Table of Contents

Chapter 1 Real Numbers and Expressions

1.1  Sets and the Structure of Algebra

1.2  Operations with Real Numbers; Properties of Real Numbers

1.3  Exponents, Roots, and Order of Operations

1.4  Evaluating and Rewriting Expressions


Chapter 2 Linear Equations and Inequalities in One Variable

2.1 Linear Equations and Formulas

2.2 Solving Problems

2.3 Solving Linear Inequalities

2.4 Compound Inequalities

2.5 Equations Involving Absolute Value

2.6 Inequalities Involving Absolute Value


Chapter 3 Equations and Inequalities in Two Variables and Functions

3.1 Graphing Linear Equations

3.2 The Slope of a Line

3.3 The Equation of a Line

3.4 Graphing Linear Inequalities

3.5 Introduction to Functions and Function



Chapter 4 Systems of Linear Equations and Inequalities

4.1 Solving Systems of Linear Equations in

      Two Variables

4.2 Solving Systems of Linear Equations in

      Three Variables

4.3 Solving Applications Using Systems of


4.4 Solving Systems of Linear Equations

      Using Matrices

4.5 Cramer’s Rule

4.6 Solving Systems of Linear Inequalities


Chapter 5 Polynomials

5.1 Exponents and Scientific Notation

5.2 Polynomials and Polynomial Functions

5.3 Multiplying Polynomials

5.4 Dividing Polynomials

5.5 Synthetic Division and the Remainder



Chapter 6 Factoring

6.1 Greatest Common Factor and Factoring by


6.2 Factoring Trinomials

6.3 Factoring Special Products and Factoring


6.4 Solving Equations by Factoring


Chapter 7 Rational Expressions and Equations

7.1 Simplifying, Multiplying, and Dividing

      Rational Expressions

7.2 Adding and Subtracting Rational


7.3 Simplifying Complex Rational


7.4 Solving Equations Containing Rational


7.5 Applications with Rational Expressions;



Chapter 8 Rational Exponents, Radicals, and Complex Numbers

8.1 Radical Expressions and Functions

8.2 Rational Exponents

8.3 Multiplying, Dividing, and Simplifying


8.4 Adding, Subtracting, and Multiplying

      Radical Expressions

8.5 Rationalizing Numerators and

      Denominators of Radical Expressions

8.6 Radical Equations and Problem Solving

8.7 Complex Numbers


Chapter 9 Quadratic Equations

9.1 Completing the Square

9.2 Solving Quadratic Equations Using the

      Quadratic Formula

9.3 Solving Equations That Are Quadratic in


9.4 Graphing Quadratic Functions

9.5 Solving Nonlinear Inequalities


Chapter 10 Exponential and Logarithmic Functions

10.1 Composite and Inverse Functions

10.2 Exponential Functions

10.3 Logarithmic Functions

10.4 Properties of Logarithms

10.5 Common and Natural Logarithms

10.6 Exponential and Logarithmic Equations

        with Applications


Chapter 11 Conic Sections

11.1 The Parabola and the Circle

11.2 Ellipses and Hyperbolas

11.3 Nonlinear Systems of Equations

11.4 Nonlinear Inequalities and Systems of



Appendix A Arithmetic Sequences and Series

Appendix B Geometric Sequences and Series

Appendix C The Binomial Theorem

Appendix D Permutations and Combinations

Appendix E Probability


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Intermediate Algebra, 2nd Edition

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