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# Beginning Algebra

**by**Lial, Margaret L.; Hornsby, John; McGinnis, Terry

10th

### 9780321127112

0321127110

Hardcover

1/1/2008

Addison Wesley

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## Summary

KEY MESSAGE: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. The Real Number System; Linear Equations and Inequalities in One Variable; Linear Equations and Inequalities in Two Variables: Functions; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For all readers interested in Beginning Algebra.

## Table of Contents

(*Note: Each chapter ends with a Group Activity, Summary, Review Exercises, a Chapter Test and, with the exception of Ch. 1, a Cumulative Review*). ** List of Applications. **** Preface. **** Feature Walkthrough. **** 1. The Real Number System. **

Fractions.

Exponents, Order of Operations, and Inequality.

Variables, Expressions, and Equations.

Real Numbers and the Number Line.

Adding and Subtracting Real Numbers.

Multiplying and Dividing Real Numbers.

Properties of Real Numbers.

Simplifying Expressions.

Exponents, Order of Operations, and Inequality.

Variables, Expressions, and Equations.

Real Numbers and the Number Line.

Adding and Subtracting Real Numbers.

Multiplying and Dividing Real Numbers.

*Summary Exercises on Operations with Real Numbers*.Properties of Real Numbers.

Simplifying Expressions.

**2. Linear Equations and Inequalities in One Variable.**

The Addition Property of Equality.

The Multiplication Property of Equality.

More on Solving Linear Equations.

An Introduction to Applications of Linear Equations.

Formulas and Applications from Geometry.

Ratios and Proportions.

More About Problem Solving.

Solving Linear Inequalities.

The Multiplication Property of Equality.

More on Solving Linear Equations.

*Summary Exercises on Solving Linear Equations*.An Introduction to Applications of Linear Equations.

Formulas and Applications from Geometry.

Ratios and Proportions.

More About Problem Solving.

Solving Linear Inequalities.

**3. Linear Equations and Inequalities in Two Variables; Functions.**

Reading Graphs; Linear Equations in Two Variables.

Graphing Linear Equations in Two Variables.

The Slope of a Line.

Equations of a Line.

Graphing Linear Inequalities in Two Variables.

Introduction to Functions.

Graphing Linear Equations in Two Variables.

The Slope of a Line.

Equations of a Line.

Graphing Linear Inequalities in Two Variables.

Introduction to Functions.

**4. Systems of Linear Equations and Inequalities.**

Solving Systems of Linear Equations by Graphing.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

Applications of Linear Systems.

Solving Systems of Linear Inequalities.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

*Summary Exercises on Solving Systems of Linear Equations*.Applications of Linear Systems.

Solving Systems of Linear Inequalities.

**5. Exponents and Polynomials.**

The Product Rule and Power Rules for Exponents.

Integer Exponents and the Quotient Rule.

An Application of Exponents: Scientific Notation.

Adding and Subtracting Polynomials; Graphing Simple Polynomials.

Multiplying Polynomials.

Special Products.

Dividing Polynomials.

Integer Exponents and the Quotient Rule.

*Summary Exercises on the Rules for Exponents*.An Application of Exponents: Scientific Notation.

Adding and Subtracting Polynomials; Graphing Simple Polynomials.

Multiplying Polynomials.

Special Products.

Dividing Polynomials.

**6. Factoring and Applications.**

The Greatest Common Factor; Factoring by Grouping.

Factoring Trinomials.

More on Factoring Trinomials.

Special Factoring Rules.

Solving Quadratic Equations by Factoring.

Applications of Quadratic Equations.

Factoring Trinomials.

More on Factoring Trinomials.

Special Factoring Rules.

*Summary Exercises on Factoring*.Solving Quadratic Equations by Factoring.

Applications of Quadratic Equations.

**7. Rational Expressions and Applications.**

The Fundamental Property of Rational Expressions.

Multiplying and Dividing Rational Expressions.

Least Common Denominators.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Solving Equations with Rational Expressions.

Applications of Rational Expressions.

Variation.

Multiplying and Dividing Rational Expressions.

Least Common Denominators.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Solving Equations with Rational Expressions.

*Summary Exercises on Operations and Equations with Rational Expressions*.Applications of Rational Expressions.

Variation.

**8. Roots and Radicals.**

Evaluating Roots.

Multiplying, Dividing, and Simplifying Radicals.

Adding and Subtracting Radicals.

Rationalizing the Denominator.

More Simplifying and Operations with Radical.

Solving Equations with Radicals.

Using Rational Numbers as Exponents.

Multiplying, Dividing, and Simplifying Radicals.

Adding and Subtracting Radicals.

Rationalizing the Denominator.

More Simplifying and Operations with Radical.

*Summary Exercises on Operations with Radicals*.Solving Equations with Radicals.

Using Rational Numbers as Exponents.

**9. Quadratic Equations.**

Solving Quadratic Equations by the Square Root Property.

Solving Quadratic Equations by Completing the Square.

Solving Quadratic Equations by the Quadratic Formula.

Complex Numbers.

More on Graphing Quadratic Equations; Quadratic Functions.

Solving Quadratic Equations by Completing the Square.

Solving Quadratic Equations by the Quadratic Formula.

*Summary Exercises on Quadratic Equations*.Complex Numbers.

More on Graphing Quadratic Equations; Quadratic Functions.

**Appendix A: An Introduction to Calculators.**

**Appendix B: Review of Decimals and Percents.**

**Appendix C: Sets.**

**Appendix D: Mean, Median, and Mode.**

**Appendix E: Solving Quadratic Inequalities.**

**Answers to Selected Exercises.**

**Glossary.**

**Index.**