Description

Book Synopsis


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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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

Guided Notebook for Algebra for College Students

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    A Paperback / softback by Margaret Lial, John Hornsby, Terry McGinnis

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      Book details

      Publisher Pearson Education (US)
      Published 4 November 2019
      ISBN-13 9780135161456
      978-0135161456
      ISBN-10 0135161452
      Also in:
      Algebra

      Description

      Book Synopsis


      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
      2. 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
      3. 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
      4. 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
      5. 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
      6. 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
      7. 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
      8. 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
      9. 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
      10. 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
      11. 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
      12. 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
      13. 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
      14. 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

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