Beginning & Intermediate Algebra, 8th edition

Published by Pearson (August 20, 2024) © 2025

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • Terry McGinnis
  • Callie J. Daniels St. Charles Community College

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ISBN-13: 9780138234171 (2024 update)
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Beginning & Intermediate Algebra balances skills and concepts to help you succeed in your course. The authors combine a clear writing style with skills development and conceptual questions to meet students' needs. They maintain the hallmark writing style, trusted features and resources that help you stay prepared and on top of the material.

The 8th Edition updates exercise sets and real-world data; adds new figures, graphs, and diagrams; expands review material; increases emphasis on graphing; and much more.

Study Skills

  • 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 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 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 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 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. 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 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 Equations That Lead to Quadratic Methods
  • 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

  • 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

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