Beginning and Intermediate Algebra 6th Edition Lial Test Bank

Preface

Study Skills: Using Your Math Textbook

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

Study Skills: Reading Your Math Textbook

1. The Real Number System

1.1 Exponents, Order of Operations, and Inequality

Study Skills: Taking Lecture Notes

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

Study Skills: Completing Your Homework

1.4 Adding and Subtracting Real Numbers

Study Skills: Using Study Cards

1.5 Multiplying and Dividing Real Numbers

Summary Exercises: Performing Operations with Real Numbers

1.6 Properties of Real Numbers

1.7 Simplifying Expressions

Study Skills: Reviewing a Chapter

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

2. Linear Equations and Inequalities in One Variable

2.1 The Addition Property of Equality

Study Skills: Managing Your Time

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Study Skills: Using Study Cards Revisited

Summary Exercises: Applying Methods for Solving Linear Equations

2.4 Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Equations

2.8 Solving Linear Inequalities

Study Skills: Taking Math Tests

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Mixed Review Exercises

Chapter 2 Test

Chapters R–2 Cumulative Review Exercises

3. Linear Equations and Inequalities in Two Variables

3.1 Linear Equations and Rectangular Coordinates

Study Skills: Analyzing Your Test Results

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

Study Skills: Preparing for Your Math Final Exam

3.4 Slope-Intercept Form of a Linear Equation

3.5 Point-Slope Form of a Linear Equation and Modeling

Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R–3 Cumulative Review Exercises

4. Exponents and Polynomials

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

Summary Exercises: Applying the Rules for Exponents

4.3 Scientific Notation

4.4 Adding, Subtracting, and Graphing Polynomials

4.5 Multiplying Polynomials

4.6 Special Products

4.7 Dividing Polynomials

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Mixed Review Exercises

Chapter 4 Test

Chapters R–4 Cumulative Review Exercises

5. Factoring and Applications

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

Summary Exercises: Recognizing and Applying Factoring Strategies

5.5 Solving Quadratic Equations Using the Zero-Factor Property

5.6 Applications of Quadratic Equations

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Mixed Review Exercises

Chapter 5 Test

Chapters R–5 Cumulative Review Exercises

6. Rational Expressions and Applications

6.1 The Fundamental Property of Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Least Common Denominators

6.4 Adding and Subtracting Rational Expressions

6.5 Complex Fractions

6.6 Solving Equations with Rational Expressions

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.7 Applications of Rational Expressions

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R–6 Cumulative Review Exercises

7. Graphs, Linear Equations, and Systems

7.1 Review of Graphs and Slopes of Lines

7.2 Review of Equations of Lines; Linear Models

7.3 Solving Systems of Linear Equations by Graphing

7.4 Solving Systems of Linear Equations by Substitution

7.5 Solving Systems of Linear Equations by Elimination

Summary Exercises: Applying Techniques for Solving Systems of Linear Equations

7.6 Systems of Linear Equations in Three Variables

7.7 Applications of Systems of Linear Equations

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R–7 Cumulative Review Exercises

8. Inequalities and Absolute Value

8.1 Review of Linear Inequalities in One Variable

8.2 Set Operations and Compound Inequalities

8.3 Absolute Value Equations and Inequalities

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

8.4 Linear Inequalities and Systems in Two Variables

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R–8 Cumulative Review Exercises

9. Relations and Functions

9.1 Introduction to Relations and Functions

9.2 Function Notation and Linear Functions

9.3 Polynomial Functions, Operations, and Composition

9.4 Variation

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R–9 Cumulative Review Exercises

10. Roots, Radicals, and Root Functions

10.1 Radical Expressions and Graphs

10.2 Rational Exponents

10.3 Simplifying Radicals, the Distance Formula, and Circles

10.4 Adding and Subtracting Radical Expressions

10.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

10.6 Solving Equations with Radicals

10.7 Complex Numbers

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Mixed Review Exercises

Chapter 10 Test

Chapters R–10 Cumulative Review Exercises

11. Quadratic Equations, Inequalities, and Functions

11.1 Solving Quadratic Equations by the Square Root Property

11.2 Solving Quadratic Equations by Completing the Square

11.3 Solving Quadratic Equations by the Quadratic Formula

11.4 Solving Equations Quadratic in Form

Summary Exercises: Applying Methods for Solving Quadratic Equations

11.5 Formulas and Further Applications

11.6 Graphs of Quadratic Functions

11.7 More about Parabolas and Their Applications

11.8 Polynomial and Rational Inequalities

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Mixed Review Exercises

Chapter 11 Test

Chapters R–11 Cumulative Review Exercises

12. Inverse, Exponential, and Logarithmic Functions

12.1 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; Further Applications

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Mixed Review Exercises

Chapter 12 Test

Chapters R–12 Cumulative Review Exercises

13. Nonlinear Functions, Conic Sections, and Nonlinear Systems (Online eText Only)

13.1 Additional Graphs of Functions

13.2 The Circle and the Ellipse

13.3 The Hyperbola and Functions Defined by Radicals

13.4 Nonlinear Systems of Equations

13.5 Second-Degree Inequalities and Systems of Inequalities

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Mixed Review Exercises

Chapter 13 Test

Chapters R–13 Cumulative Review Exercises

14. Sequences and Series (Online eText Only)

14.1 Sequences and Series

14.2 Arithmetic Sequences

14.3 Geometric Sequences

14.4 The Binomial Theorem

Chapter 14 Summary

Chapter 14 Review Exercises

Chapter 14 Mixed Review Exercises

Chapter 14 Test

Chapters R–14 Cumulative Review Exercises

Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Beginning to Intermediate Algebra)

Appendix B: Synthetic Division

Appendix C: Determinants and Cramer’s Rule

Answers to Selected Exercises

Glossary

Credits

Index