## Overview

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--

About Lial/Hornsby/McGinnis’s ** Beginning & Intermediate Algebra, Sixth Edition**:

**Is there anything more beautiful than an “A” in Algebra?** Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success.

With this revision of the Lial Developmental Algebra Series, the team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that will provide extra help when needed, regardless of the learning environment (traditional, lab-based, hybrid, online)—new study skills activities in the text, an updated and expanded Lial Video Library (available in MyMathLab), and a new accompanying Lial Video Library Workbook (available in MyMathLab)*.*

0134277856 / 9780134277851 Beginning & Intermediate Algebra Plus NEW Integrated Review MyMathLab and Worksheets-Access Card Package

**Package consists of: **

0134278607 / 9780134278605 Worksheets for Beginning & Intermediate Algebra with Integrated Review

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321969162 / 9780321969163 Beginning and Intermediate Algebra

## Table of contents

Note that the topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only.

**Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

Study Skills Reading Your Math Textbook

**1. The Real Number System**

- Identify the place value of a digit
- Write decimals as fractions or mixed numbers
- Add and subtract negative decimals
- Multiply positive and negative decimals
- Divide a number by a decimal
- Write fractions as equivalent decimals

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding and Subtracting Real Numbers

1.5 Multiplying and Dividing Real Numbers

1.6 Properties of Real Numbers

1.7 Simplifying Expressions

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

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

- Identify variables, constants, and expressions
- Translate word phrases into algebraic expressions
- Write percents as decimals
- Write decimals as percents
- Write percents as fractions
- Write fractions as percents
- Solve applications of percent

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on 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

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**

- Evaluate an expression when values of the variables are given
- Determine whether a number is a solution of an equation

3.1 Linear Equations and Rectangular Coordinates

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

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**

- Review the use of exponents
- Decide whether an expression gives a positive or negative result

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

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**

- Find prime factorization
- Perform operations with polynomials

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

5.5 Solving Quadradic 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**

- Write a fraction in lowest terms using a common factor
- Multiply signed fractions
- Divide signed fractions
- Add and subtract unlike fractions
- Rewrite mixed numbers as improper fractions, or the reverse
- Solve application problems containing mixed numbers

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

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**

- Decide whether a given ordered pair is a solution of a given equation
- Complete ordered pairs for a given equation

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

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**

- Know the meanings of inequality symbols
- Solve applied problems involving inequalities
- Find the absolute value of a real number
- Interpret meaning of real numbers from a table

8.1 Review of Linear Inequalities in One Variable

8.2 Set Operations and Compound Inequalities

8.3 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**

- Use exponents to write repeated factors
- Simplify expressions containing exponents
- Review combining like terms

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

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**

- Simplify expressions
- Solve equations using the distributive, addition, and division properties

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

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**

- Define and identify relations and functions
- Find the domain and range
- Identify functions defined by graphs and equations
- Use function notation

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**

- Graph functions defines by radical expressions
- Solve linear systems by substitution
- Solve linear systems by elimination
- Graph linear inequalities in two variables

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 Test

Chapters 1–13 Cumulative Review Exercises

**14. Sequences and Series**

- Use inductive reasoning to analyze patterns
- Recognize and evaluate polynomial functions

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 Test

Chapters 1–14 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

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