Elementary Algebra

Preface

To the Student

Learning Styles Inventory

 

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 Interest 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 Systems of Equations

8.1 Solving Systems of Linear Equations

      Graphically

8.2 Solving Systems of Linear Equations by

      Substitution

8.3 Solving Systems of Linear Equations by

      Elimination

8.4 More Applications with Systems of

      Equations

8.5 Solving Systems of Linear Inequalities

 

Chapter 9 Roots and Radicals

9.1 Square Roots and Radical Expressions

9.2 Multiplying and Simplifying Square Roots

9.3 Dividing and Simplifying Square Roots

9.4 Adding and Subtracting Square Roots

9.5 Solving Radical Equations

9.6 Higher Roots and Rational Exponents