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# Introductory & Intermediate Algebra

## byMargaret L. Lial, John Hornsby, Terry Mcginnis

### Paperback | February 17, 2017

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*For courses in* *Beginning & Intermediate Algebra.*

**The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support**

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### Extra Content

Table of Contents

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

Study Skills Using Your Math Text

**1. The Real Number System **

**1.1 **Exponents, Order of Operations, and Inequality

**Study Skills **Taking Lecture Notes

**1.2 **Variables, Expressions, and Equations

**Study Skills **Reading Your Math Text

**1.3 **Real Numbers and the Number Line

**Study Skills **Using Study Cards

**1.4 **Adding Real Numbers

**1.5 **Subtracting Real Numbers

**Study Skills **Completing Your Homework

**1.6 **Multiplying and Dividing Real Numbers

** Summary Exercises **

*Performing Operations with Real Numbers*

**1.7 **Properties of Real Numbers

**1.8 **Simplifying Expressions

**Study Skills **Reviewing a Chapter

**2. Equations, Inequalities, and Applications 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 **An Introduction to Applications of Linear Equations

**2.5 **Formulas and Additional Applications from Geometry

**2.6 **Ratio, Proportion, and Percent

** Summary Exercises **

*Applying Problem-Solving Techniques*

**2.7 **Solving Linear Inequalities

**Study Skills **Taking Math Tests

**3. Graphs of 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

**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 *

**Study Skills **Preparing for Your Math Final Exam

**3.6 **Graphing Linear Inequalities in Two Variables

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

**4.1 **Solving Systems of Linear Equations by Graphing

**4.2 **Solving Systems of Linear Equations by Substitution

**4.3 **Solving Systems of Linear Equations by Elimination

** Summary Exercises **

*Applying Techniques for Solving Systems of Linear Equations*

**4.4 **Applications of Linear Systems

**4.5 **Solving Systems of Linear Inequalities

**5. Exponents and Polynomials **

**5.1 **The Product Rule and Power Rules for Exponents

**5.2 **Integer Exponents and the Quotient Rule

** Summary Exercises **

*Applying the Rules for Exponents*

**5.3 **An Application of Exponents: Scientific Notation

**5.4 **Adding and Subtracting Polynomials

**5.5 **Multiplying Polynomials

**5.6 **Special Products

**5.7 **Dividing a Polynomial by a Monomial

**5.8 **Dividing a Polynomial by a Polynomial

**6. Factoring and Applications **

**6.1 **Greatest Common Factors; Factor by Grouping

**6.2 **Factoring Trinomials

**6.3 **Factoring Trinomials by Grouping

**6.4 **Factoring Trinomials Using the FOIL Method

**6.5 **Special Factoring Techniques

**6.6 **A General Approach to Factoring

**6.7 **Solving Quadratic Equations Using the Zero-Factor Property

**6.8 **Applications of Quadratic Equations

**7. Rational Expressions and Applications**

**7.1 **The Fundamental Property of Rational Expressions

**7.2 **Multiplying and Dividing Rational Expressions

**7.3 **Least Common Denominators

**7.4 **Adding and Subtracting Rational Expressions

**7.5 **Complex Fractions

**7.6 **Solving Equations with Rational Expressions

** Summary Exercises **

*Simplifying Rational Expressions vs. Solving Rational Equations*

**7.7 **Applications of Rational Expressions

**7.8 **Variation

**8. Equations, Inequalities, Graphs, and Systems Revisited 8.1** Review of Solving Linear Equations and Inequalities in one Variable

**8.2**Set Operations and Compound Inequalities

**8.3**Absolute Value Equations and Inequalities

**Solving Linear and Absolute Value Equations and Inequalities**

Summary Exercises

Summary Exercises

**8.4 **Review of Graphing Linear Equations in Two Variables; Slope

**8.6 **Systems of Linear Equations in Three Variables; Applications

**9. Relations and Functions 9.1 **Introduction to Relations and Functions

**9.2**Function Notation and Linear Functions

**9.3**Polynomial Functions, Operations, and Graphs

**9.4**Variation

**10. Roots, Radicals, and Root Functions**

**10.1 **Radical Expressions and Graphs

**10.2 **Rational Exponents

**10.3 **Simplifying Radical Expressions

**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

**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 **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

**12. Inverse, Exponential, and Logarithmic Functions**

**12.1 **Composition of Functions

**12.2 **Inverse Functions

**12.3 **Exponential Functions

**12.4 **Logarithmic Functions

**12.5 **Properties of Logarithms

**12.6 **Common and Natural Logarithms

**12.7 **Exponential and Logarithmic Equations and Their Applications

**13. Nonlinear Functions, Conic Sections, and Nonlinear Systems**

**13.1 **Additional Graphs of Functions

**13.2 **Circles and Ellipses

**13.3 **Hyperbolas and Functions Defined by Radicals

**13.4 **Nonlinear Systems of Equations

**13.5 **Second-Degree Inequalities and Systems of Inequalities

** **

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

**Appendix B: **Synthetic Division

**Appendix C: **Solving Systems of Linear Equations by Matrix Methods

**Answers to Selected Exercises**

**Index**