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. 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

Guided Notebook for Beginning Intermediate

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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 9780134897011
      978-0134897011
      ISBN-10 0134897013
      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. 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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