Elementary and Intermediate Algebra, 2nd Edition

Chapter 1 Foundations of Algebra

1.1  Number Sets and the Structure of Algebra

1.2  Fractions

1.3  Adding and Subtracting Real Numbers; Properties of Real Numbers

1.4  Multiplying and Dividing Real Numbers; Properties of Real Numbers

1.5  Exponents, Roots, and Order of Operations

1.6  Translating Word Phrases to Expressions

1.7  Evaluating and Rewriting Expressions

 

Chapter 2 Solving Linear Equations and

      Inequalities

2.1 Equations, Formulas, and the Problem-Solving Process

2.2 The Addition Principle

2.3 The Multiplication Principle

2.4 Applying the Principles to Formulas

2.5 Translating Word Sentences to Equations

2.6 Solving Linear Inequalities

 

Chapter 3 Problem Solving

3.1 Ratios and Proportions

3.2 Percents

3.3 Problems with Two or More Unknowns

3.4 Rates

3.5 Investment and Mixture

 

Chapter 4 Graphing Linear Equations and

      Inequalities

4.1 The Rectangular Coordinate System

4.2 Graphing Linear Equations

4.3 Graphing Using Intercepts

4.4 Slope-Intercept Form

4.5 Point-Slope Form

4.6 Graphing Linear Inequalities

4.7 Introduction to Functions and Function

      Notation

 

Chapter 5 Polynomials

5.1 Exponents and Scientific Notation

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Exponent Rules and Multiplying

      Monomials

5.5 Multiplying Polynomials; Special Products

5.6 Exponent Rules and Dividing Polynomials

 

Chapter 6 Factoring

6.1 Greatest Common Factor and Factoring by

      Grouping

6.2 Factoring Trinomials of the Form

       x² + bx + c

6.3 Factoring Trinomials of the Form

       ax² + bx + c, where a ≠ 1

6.4 Factoring Special Products

6.5 Strategies for Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Graphs of Quadratic Equations and

      Functions

 

Chapter 7 Rational Expressions and

      Equations

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational

      Expressions

7.3 Adding and Subtracting Rational

      Expressions with the Same Denominator

7.4 Adding and Subtracting Rational

      Expressions with Different Denominators

7.5 Complex Rational Expressions

7.6 Solving Equations Containing Rational

      Expressions

7.7 Applications with Rational Expressions

 

Chapter 8 More on Inequalities, Absolute

      Value and Functions

8.1 Compound Inequalities

8.2 Equations Involving Absolute Value

8.3 Inequalities Involving Absolute Value

8.4 Functions and Graphing

8.5 Function Operations

 

Chapter 9 Systems of Equations

9.1 Solving Systems of Linear Equations

      Graphically

9.2 Solving Systems of Linear Equations by

      Substitution

9.3 Solving Systems of Linear Equations by  

      Elimination

9.4 Solving Systems of Linear Equations in

      Three Variables

9.5 Solving Systems of Linear Equations

      Using Matrices

9.6 Solving Systems of Linear Equations

      Using Cramer’s Rule

9.7 Solving Systems of Linear Inequalities

 

Chapter 10 Rational Exponents, Radicals,

        and Complex Numbers

10.1 Radical Expressions and Functions

10.2 Rational Exponents

10.3 Multiplying, Dividing, and Simplifying

        Radicals

10.4 Adding, Subtracting, and Multiplying

        Radical Expressions

10.5 Rationalizing Numerators and

        Denominators of Radical Expressions

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

 

Chapter 11 Quadratic Equations

11.1 Completing the Square

11.2 Solving Quadratic Equations Using the

        Quadratic Formula

11.3 Solving Equations That Are Quadratic in

        Form

11.4 Graphing Quadratic Functions

11.5 Solving Nonlinear Inequalities

 

Chapter 12 Exponential and Logarithmic

        Functions

12.1 Composite and Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

12.5 Common and Natural Logarithms

12.6 Exponential and Logarithmic Equations

        with Applications

 

Chapter 13 Conic Sections

13.1 The Parabola and the Circle

13.2 Ellipses and Hyperbolas

13.3 Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of

        Inequalities

 

Appendices

A. Arithmetic Sequences and Series

B. Geometric Sequences and Series

C. The Binomial Theorem

D. Permutations and Combinations

E. Probability