Description

Book Synopsis


Table of Contents
Table of Contents

  • R. Prealgebra Review
  • R.1 Fractions
  • R.2 Decimals and Percents
  • Study Skills Using Your Math Text
  1. The Real Number System
    • 1.1 Exponents, Order of Operations, and Inequality
      • Study Skills Taking Lecture Notes
    • 1.2 Variables, Expressions, and Equations
      • Study Skills Reading Your Math Text
    • 1.3 Real Numbers and the Number Line
      • Study Skills Using Study Cards
    • 1.4 Adding Real Numbers
    • 1.5 Subtracting Real Numbers
      • Study Skills Completing Your Homework
    • 1.6 Multiplying and Dividing Real Numbers
      • Summary Exercises Performing Operations with Real Numbers
    • 1.7 Properties of Real Numbers
    • 1.8 Simplifying Expressions
      • Study Skills Reviewing a Chapter
  2. Equations, Inequalities, and Applications
    • 2.1 The Addition Property of Equality
      • Study Skills Managing Your Time
    • 2.2 The Multiplication Property of Equality
    • 2.3 More on Solving Linear Equations
      • Study Skills Using Study Cards Revisited
      • Summary Exercises Applying Methods for Solving Linear Equations
    • 2.4 An Introduction to Applications of Linear Equations
    • 2.5 Formulas and Additional Applications from Geometry
    • 2.6 Ratio, Proportion, and Percent
      • Summary Exercises Applying Problem-Solving Techniques
    • 2.7 Solving Linear Inequalities
      • Study Skills Taking Math Tests
  3. Graphs of Linear Equations and Inequalities in Two Variables
    • 3.1 Linear Equations and Rectangular Coordinates
      • Study Skills Analyzing Your Test Results
    • 3.2 Graphing Linear Equations in Two Variables
    • 3.3 The Slope of a Line
      • Study Skills Preparing for Your Math Final Exam
    • 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
    • 3.6 Graphing Linear Inequalities in Two Variables
  4. Systems of Linear Equations and Inequalities
    • 4.1 Solving Systems of Linear Equations by Graphing
    • 4.2 Solving Systems of Linear Equations by Substitution
    • 4.3 Solving Systems of Linear Equations by Elimination
      • Summary Exercises Applying Techniques for Solving Systems of Linear Equations
    • 4.4 Applications of Linear Systems
    • 4.5 Solving Systems of Linear Inequalities
  5. Exponents and Polynomials
    • 5.1 The Product Rule and Power Rules for Exponents
    • 5.2 Integer Exponents and the Quotient Rule
      • Summary Exercises Applying the Rules for Exponents
    • 5.3 An Application of Exponents: Scientific Notation
    • 5.4 Adding and Subtracting Polynomials
    • 5.5 Multiplying Polynomials
    • 5.6 Special Products
    • 5.7 Dividing a Polynomial by a Monomial
    • 5.8 Dividing a Polynomial by a Polynomial
  6. Factoring and Applications
    • 6.1 Greatest Common Factors; Factor by Grouping
    • 6.2 Factoring Trinomials
    • 6.3 Factoring Trinomials by Grouping
    • 6.4 Factoring Trinomials Using the FOIL Method
    • 6.5 Special Factoring Techniques
      • Summary Exercises Recognizing and Applying Factoring Strategies
    • 6.6 Solving Quadratic Equations Using the Zero-Factor Property
    • 6.7 Applications of Quadratic Equations
  7. Rational Expressions and Applications
    • 7.1 The Fundamental Property of Rational Expressions
    • 7.2 Multiplying and Dividing Rational Expressions
    • 7.3 Least Common Denominators
    • 7.4 Adding and Subtracting Rational Expressions
    • 7.5 Complex Fractions
    • 7.6 Solving Equations with Rational Expressions
      • Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
    • 7.7 Applications of Rational Expressions
    • 7.8 Variation
  8. Roots and Radicals
    • 8.1 Evaluating Roots
    • 8.2 Multiplying, Dividing, and Simplifying Radicals
    • 8.3 Adding and Subtracting Radicals
    • 8.4 Rationalizing the Denominator
    • 8.5 More Simplifying and Operations with Radicals
      • Summary Exercises Applying Operations with Radicals
    • 8.6 Solving Equations with Radicals
  9. Quadratic Equations
    • 9.1 Solving Quadratic Equations by the Square Root Property
    • 9.2 Solving Quadratic Equations by Completing the Square
    • 9.3 Solving Quadratic Equations by the Quadratic Formula
      • Summary Exercises Applying Methods for Solving Quadratic Equations
    • 9.4 Graphing Quadratic Equations
    • 9.5 Introduction to Functions
Appendix: Factoring Sums and Differences of Cubes

Introductory Algebra

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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 24 May 2017
      ISBN-13 9780134474083
      978-0134474083
      ISBN-10 0134474082
      Also in:
      Algebra

      Description

      Book Synopsis


      Table of Contents
      Table of Contents

      • R. Prealgebra Review
      • R.1 Fractions
      • R.2 Decimals and Percents
      • Study Skills Using Your Math Text
      1. The Real Number System
        • 1.1 Exponents, Order of Operations, and Inequality
          • Study Skills Taking Lecture Notes
        • 1.2 Variables, Expressions, and Equations
          • Study Skills Reading Your Math Text
        • 1.3 Real Numbers and the Number Line
          • Study Skills Using Study Cards
        • 1.4 Adding Real Numbers
        • 1.5 Subtracting Real Numbers
          • Study Skills Completing Your Homework
        • 1.6 Multiplying and Dividing Real Numbers
          • Summary Exercises Performing Operations with Real Numbers
        • 1.7 Properties of Real Numbers
        • 1.8 Simplifying Expressions
          • Study Skills Reviewing a Chapter
      2. Equations, Inequalities, and Applications
        • 2.1 The Addition Property of Equality
          • Study Skills Managing Your Time
        • 2.2 The Multiplication Property of Equality
        • 2.3 More on Solving Linear Equations
          • Study Skills Using Study Cards Revisited
          • Summary Exercises Applying Methods for Solving Linear Equations
        • 2.4 An Introduction to Applications of Linear Equations
        • 2.5 Formulas and Additional Applications from Geometry
        • 2.6 Ratio, Proportion, and Percent
          • Summary Exercises Applying Problem-Solving Techniques
        • 2.7 Solving Linear Inequalities
          • Study Skills Taking Math Tests
      3. Graphs of Linear Equations and Inequalities in Two Variables
        • 3.1 Linear Equations and Rectangular Coordinates
          • Study Skills Analyzing Your Test Results
        • 3.2 Graphing Linear Equations in Two Variables
        • 3.3 The Slope of a Line
          • Study Skills Preparing for Your Math Final Exam
        • 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
        • 3.6 Graphing Linear Inequalities in Two Variables
      4. Systems of Linear Equations and Inequalities
        • 4.1 Solving Systems of Linear Equations by Graphing
        • 4.2 Solving Systems of Linear Equations by Substitution
        • 4.3 Solving Systems of Linear Equations by Elimination
          • Summary Exercises Applying Techniques for Solving Systems of Linear Equations
        • 4.4 Applications of Linear Systems
        • 4.5 Solving Systems of Linear Inequalities
      5. Exponents and Polynomials
        • 5.1 The Product Rule and Power Rules for Exponents
        • 5.2 Integer Exponents and the Quotient Rule
          • Summary Exercises Applying the Rules for Exponents
        • 5.3 An Application of Exponents: Scientific Notation
        • 5.4 Adding and Subtracting Polynomials
        • 5.5 Multiplying Polynomials
        • 5.6 Special Products
        • 5.7 Dividing a Polynomial by a Monomial
        • 5.8 Dividing a Polynomial by a Polynomial
      6. Factoring and Applications
        • 6.1 Greatest Common Factors; Factor by Grouping
        • 6.2 Factoring Trinomials
        • 6.3 Factoring Trinomials by Grouping
        • 6.4 Factoring Trinomials Using the FOIL Method
        • 6.5 Special Factoring Techniques
          • Summary Exercises Recognizing and Applying Factoring Strategies
        • 6.6 Solving Quadratic Equations Using the Zero-Factor Property
        • 6.7 Applications of Quadratic Equations
      7. Rational Expressions and Applications
        • 7.1 The Fundamental Property of Rational Expressions
        • 7.2 Multiplying and Dividing Rational Expressions
        • 7.3 Least Common Denominators
        • 7.4 Adding and Subtracting Rational Expressions
        • 7.5 Complex Fractions
        • 7.6 Solving Equations with Rational Expressions
          • Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
        • 7.7 Applications of Rational Expressions
        • 7.8 Variation
      8. Roots and Radicals
        • 8.1 Evaluating Roots
        • 8.2 Multiplying, Dividing, and Simplifying Radicals
        • 8.3 Adding and Subtracting Radicals
        • 8.4 Rationalizing the Denominator
        • 8.5 More Simplifying and Operations with Radicals
          • Summary Exercises Applying Operations with Radicals
        • 8.6 Solving Equations with Radicals
      9. Quadratic Equations
        • 9.1 Solving Quadratic Equations by the Square Root Property
        • 9.2 Solving Quadratic Equations by Completing the Square
        • 9.3 Solving Quadratic Equations by the Quadratic Formula
          • Summary Exercises Applying Methods for Solving Quadratic Equations
        • 9.4 Graphing Quadratic Equations
        • 9.5 Introduction to Functions
      Appendix: Factoring Sums and Differences of Cubes

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