Algebra for College Students, 9th edition

  • Margaret L. Lial, 
  • John Hornsby, 
  • Terry McGinnis

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Overview

Algebra for College Students provides the perfect balance of skills and concepts for a student-friendly approach to developmental math.

Published by Pearson (July 15th 2020) - Copyright © 2020

ISBN-13: 9780136881001

Subject: Developmental Math

Category: Algebra for College Students

Table of contents

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
  1. 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

Appendix A: Solving Systems of Linear Equations by Matrix Methods

Appendix B: Determinants and Cramer’s Rule

Appendix C: Properties of Matrices

Appendix D: Matrix Inverses

Photo Credits

Answers to Selected Exercises

Index

Your questions answered

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