# Beginning and Intermediate Algebra, 7th edition

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## Overview

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For courses in Beginning and Intermediate Algebra (Combined Courses).

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**Balancing skills and concepts**

The **Lial Developmental Algebra Series** uses a teacherly writing style and a careful blend of skills development and conceptual questions to meet the unique needs of the developmental math student. The author team takes advantage of experiences in the classroom and an editing eye to offer one of the most well-rounded series available, written with the developmental learner in mind. In this revision, the team retains their hallmark writing style, and provides new features and resources to optimize student preparedness and conceptual understanding. The Lial program provides students with the perfect balance of skills and concepts for a student-friendly approach to math.

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0135307708 / 9780135307700 Beginning and Intermediate Algebra Plus MyLab Math with Pearson eText - Access Card Package

Package consists of:

- 0134895991 / 9780134895994 Beginning and Intermediate Algebra
- 0134896947 / 9780134896946 MyLab Math with Pearson eText - Standalone Access Card - for Beginning and Intermediate Algebra

## Table of contents

Study Skill 1: Using Your Math Text

Study Skill 2: Reading Your Math Text

Study Skill 3: Taking Lecture Notes

Study Skill 4: Completing Your Homework

Study Skill 5: Using Study Cards

Study Skill 6: Managing Your Time

Study Skill 7: Reviewing a Chapter

Study Skill 8: Taking Math Tests

Study Skill 9: Analyzing Your Test Results

Study Skill 10: Preparing for Your Math Final

**R. Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

**1. The Real Number System**

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

Summary Exercises: Performing Operations with Real Numbers1.6 Properties of Real Numbers

1.7 Simplifying Expressions

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 TestChapters R and 1 Cumulative Review Exercises

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

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Solving Linear Equations Using Both Properties of Equality

2.4 Clearing Fractions and Decimals When Solving Linear Equations

Summary Exercises: Applying Methods for Solving Linear Equations2.5 Applications of Linear Equations

2.6 Formulas and Additional Applications from Geometry

2.7 Ratio, Proportion, and Percent

2.8 Further Applications of Linear Equations

2.9 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 in Two Variables**

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

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

Chapter 3 SummaryChapter 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 Exponents4.3 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 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 Strategies5.5 Solving Quadratic Equations Using the Zero-Factor Property

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 Equations6.7 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. Linear Equations, Graphs, 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 Equations7.6 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 Inequalities8.4 Linear Inequalities and Systems in Two Variables

Chapter 8 SummaryChapter 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 Exponents10.6 Solving Equations with Radicals

10.7 Complex Numbers

Chapter 10 SummaryChapter 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 Equations That Lead to Quadratic Methods

Summary Exercises: Applying Methods for Solving Quadratic Equations11.5 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 SummaryChapter 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**

13.1 Additional Graphs of Functions

13.2 Circles Revisited 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

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Mixed Review Exercises

Chapter 13 Test

Chapters R—13 Cumulative Review Exercises

**14. Further Topics in Algebra**

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

Published by Pearson (May 3rd 2019) - Copyright © 2020