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Algebra for College Students, 9th edition

Published by Pearson (July 15, 2020) © 2020

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • Terry McGinnis
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Part of the Lial Developmental Algebra Series, Algebra for College Students, 9th 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 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. Review of the Real Number System

  • R.1 Fractions, Decimals, and Percents
  • R.2 Basic Concepts from Algebra
  • R.3 Operations on Real Numbers
  • R.3 Exponents, Roots, and Order of Operations
  • R.4 Properties of Real Numbers
  • Chapter R Summary
  • Chapter R Test

1. Linear Equations, Inequalities, and Applications

  • 1.1 Linear Equations in One Variable
  • 1.2 Formulas and Percent
  • 1.3 Applications of Linear Equations
  • 1.4 Further Applications of Linear Equations
  • Summary Exercises: Applying Problem-Solving Techniques
  • 1.5 Linear Inequalities in One Variable
  • 1.6 Set Operations and Compound Inequalities
  • 1.7 Absolute Value Equations and Inequalities
  • Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities
  • Study Skills: Reviewing a Chapter
  • 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, Graphs, and Functions

  • 2.1 Linear Equations in Two Variables
  • 2.2 The Slope of a Line
  • 2.3 Writing Equations of Lines
  • Summary Exercises: Finding Slopes and Equations of Lines
  • 2.4 Linear Inequalities in Two Variables
  • 2.5 Introduction to Relations and Functions
  • 2.6 Function Notation and Linear Functions
  • Chapter 2 Summary
  • Chapter 2 Review Exercises
  • Chapter 2 Mixed Review Exercises
  • Chapter 2 Test
  • Chapters R - 2 Cumulative Review Exercises

3. Systems of Linear Equations

  • 3.1 Systems of Linear Equations in Two Variables
  • 3.2 Systems of Linear Equations in Three Variables
  • 3.3 Applications of Systems of Linear Equations
  • Chapter 3 Summary
  • Chapter 3 Review Exercises
  • Chapter 3 Mixed Review Exercises
  • Chapter 3 Test
  • Chapters R - 3 Cumulative Review Exercises

4. Exponents, Polynomials, and Polynomial Functions

  • 4.1 Integer Exponents and Scientific Notation
  • 4.2 Adding and Subtracting Polynomials
  • 4.3 Polynomial Functions, Graphs, and Composition
  • 4.4 Multiplying Polynomials
  • 4.5 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

  • 5.1 Greatest Common Factors and Factoring by Grouping
  • 5.2 Factoring Trinomials
  • 5.3 Special Factoring
  • 5.4 A General Approach to Factoring
  • 5.5 Solving Equations by 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 Functions

  • 6.1 Rational Expressions and Functions; Multiplying and Dividing
  • 6.2 Adding and Subtracting Rational Expressions
  • 6.3 Complex Fractions
  • 6.4 Equations with Rational Expressions and Graphs
  • Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations
  • 6.5 Applications of Rational Expressions
  • 6.6 Variation
  • Chapter 6 Summary
  • Chapter 6 Review Exercises
  • Chapter 6 Mixed Review Exercises
  • Chapter 6 Test
  • Chapters R - 6 Cumulative Review Exercises

7. Roots, Radicals, and Root Functions

  • 7.1 Radical Expressions and Graphs
  • 7.2 Rational Exponents
  • 7.3 Simplifying Radicals, the Distance Formula, and Circles
  • 7.4 Adding and Subtracting Radical Expressions
  • 7.5 Multiplying and Dividing Radical Expressions
  • Summary Exercises: Performing Operations with Radicals and Rational Exponents
  • 7.6 Solving Equations with Radicals
  • 7.7 Complex Numbers
  • Chapter 7 Summary
  • Chapter 7 Review Exercises
  • Chapter 7 Mixed Review Exercises
  • Chapter 7 Test
  • Chapters R - 7 Cumulative Review Exercises

8. Quadratic Equations and Inequalities

  • 8.1 The Square Root Property and Completing the Square
  • 8.2 The Quadratic Formula
  • 8.3 Equations That Lead to Quadratic Methods
  • Summary Exercises: Applying Methods for Solving Quadratic Equations
  • 8.4 Formulas and Further Applications
  • 8.5 Polynomial and Rational Inequalities
  • Chapter 8 Summary
  • Chapter 8 Review Exercises
  • Chapter 8 Mixed Review Exercises
  • Chapter 8 Test
  • Chapters R - 8 Cumulative Review Exercises

9. Additional Graphs of Functions and Relations

  • 9.1 Review of Operations and Composition
  • 9.2 Graphs of Quadratic Functions
  • 9.3 More About Parabolas and Their Applications
  • 9.4 Symmetry; Increasing and Decreasing Functions
  • 9.5 Piecewise Linear Functions
  • Chapter 9 Summary
  • Chapter 9 Review Exercises
  • Chapter 9 Mixed Review Exercises
  • Chapter 9 Test
  • Chapters R - 9 Cumulative Review Exercises

10. Inverse, Exponential, and Logarithmic Functions

  • 10.1 Inverse Functions
  • 10.2 Exponential Functions
  • 10.3 Logarithmic Functions
  • 10.4 Properties of Logarithms
  • 10.5 Common and Natural Logarithms
  • 10.6 Exponential and Logarithmic Equations; Further Applications
  • Chapter 10 Summary
  • Chapter 10 Review Exercises
  • Chapter 10 Mixed Review Exercises
  • Chapter 10 Test
  • Chapters R–10 Cumulative Review Exercises

11. Polynomial and Rational Functions

  • 11.1 Zeros of Polynomial Functions (I)
  • 11.2 Zeros of Polynomial Functions (II)
  • 11.3 Graphs and Applications of Polynomial Functions
  • Summary Exercises: Examining Polynomial Functions and Graphs
  • 11.4 Graphs and Applications of Rational Functions
  • Chapter 11 Summary
  • Chapter 11 Review Exercises
  • Chapter 11 Mixed Review Exercises
  • Chapter 11 Test
  • Chapters R - 11 Cumulative Review Exercises

12. Conic Sections and Nonlinear Systems

  • 12.1 Circles Revisited and Ellipses
  • 12.2 Hyperbolas and Functions Defined by Radicals
  • 12.3 Nonlinear Systems of Equations
  • 12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming
  • Chapter 12 Summary
  • Chapter 12 Review Exercises
  • Chapter 12 Mixed Review Exercises
  • Chapter 12 Test
  • Chapters R - 12 Cumulative Review Exercises

13. Further Topics in Algebra

  • 13.1 Sequences and Series
  • 13.2 Arithmetic Sequences
  • 13.3 Geometric Sequences
  • 13.4 The Binomial Theorem
  • 13.5 Mathematical Induction
  • 13.6 Counting Theory
  • 13.7 Basics of Probability
  • Chapter 13 Summary
  • Chapter 13 Review Exercises
  • Chapter 13 Mixed Review Exercises
  • Chapter 13 Test
  • Chapters R–13 Cumulative Review Exercises

Appendices

  • A. Solving Systems of Linear Equations by Matrix Methods
  • B. Determinants and Cramer’s Rule
  • C. Properties of Matrices
  • D. Matrix Inverses

Photo Credits

Answers to Selected Exercises

Index

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