# Beginning Algebra,13th edition

• Margaret L. Lial American River College
• John Hornsby University of New Orleans
• Terry McGinnis

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ISBN-13: 9780136881025
Beginning Algebra
Published 2020

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Part of the Lial Developmental Algebra Series, Beginning Algebra, 13th Edition uses a teacherly writing style and a careful blend of skills development and conceptual questions to meet the unique needs of every 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. 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. It offers a wealth of resources to support any classroom along with many resources to support underprepared students.

• Study Skill 1: Using 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 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
• Chapters 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 Equations
• 2.5 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 and Inequalities in Two Variables; Functions

• 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
• 3.6 Graphing Linear Inequalities in Two Variables
• 3.7 Introduction to Functions
• Chapter 3 Summary
• Chapter 3 Review Exercises
• Chapter 3 Mixed Review Exercises
• Chapter 3 Test
• Chapters R-3 Cumulative Review Exercises

### 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
• Chapter 4 Summary
• Chapter 4 Review Exercises
• Chapter 4 Mixed Review Exercises
• Chapter 4 Test
• Chapters R-4 Cumulative Review Exercises

### 5. Exponents and Polynomials

• 5.1 The Product Rule and Power Rules for Exponents
• 5.2 Integer Exponents and the Quotient Rule
• 5.3 Scientific Notation
• 5.4 Adding, Subtracting, and Graphing Polynomials
• 5.5 Multiplying Polynomials
• 5.6 Special Products
• 5.7 Dividing Polynomials
• Chapter 5 Summary
• Chapter 5 Review Exercises
• Chapter 5 Mixed Review Exercises
• Chapter 5 Test
• Chapters R-5 Cumulative Review Exercises

### 6. Factoring and Applications

• 6.1 The Greatest Common Factors; Factoring by Grouping
• 6.2 Factoring Trinomials
• 6.3 More on Factoring Trinomials
• 6.4 Special Factoring Techniques
• Summary Exercises: Recognizing and Applying Factoring Strategies
• 6.5 Solving Quadratic Equations Using the Zero-Factor Property
• 6.6 Applications of Quadratic Equations
• Chapter 6 Summary
• Chapter 6 Review Exercises
• Chapter 6 Mixed Review Exercises
• Chapter 6 Test
• Chapters R-6 Cumulative Review Exercises

### 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
• Chapter 7 Summary
• Chapter 7 Review Exercises
• Chapter 7 Mixed Review Exercises
• Chapter 7 Test
• Chapters R-7 Cumulative Review Exercises

• 8.1 Evaluating Roots
• 8.2 Multiplying, Dividing, and Simplifying Radicals
• 8.4 Rationalizing the Denominator
• 8.5 More Simplifying and Operations with Radicals
• Summary Exercises: Applying Operations with Radicals
• 8.6 Solving Equations with Radicals
• Chapter 8 Summary
• Chapter 8 Review Exercises
• Chapter 8 Mixed Review Exercises
• Chapter 8 Test
• Chapters R-8 Cumulative Review Exercises

• 9.1 Solving Quadratic Equations by the Square Root Property
• 9.2 Solving Quadratic Equations by Completing the Square
• Summary Exercises: Applying Methods for Solving Quadratic Equations