Algebra: A Combined Approach, 6th edition

  • Elayn Martin-Gay

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Overview

Algebra: A Combined Approach offers trusted content by esteemed author Elayn Martin-Gay. Chapter Test Prep videos and a Video Organizer note-taking guide help support your success.

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

ISBN-13: 9780136881186

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

Table of contents

Table of Contents

  1. Prealgebra Review
    • R.1 Factors and the Least Common Multiple
    • R.2 Fractions
    • R.3 Decimals and Percents
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
  1. Real Numbers and Introduction to Algebra
    • 1.1 Study Skills Tips for Sucess in Mathematics
    • 1.2 Symbols and Sets of Numbers
    • 1.3 Expnents, Order of Operations, and Variable Expressions
    • 1.4 Adding Real Numbers
    • 1.5 Subtracting Real Numbers
      • Integrated Review - Operations on Real Numbers
    • 1.6 Multiplying and Dividing Real Numbers
    • 1.7 Properties of Real Numbers
    • 1.8 Simplifying Expressions
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
  2. Equations, Inequalities, and Problem Solving
    • 2.1 The Addition Property of Equality
    • 2.2 The Multiplication Property of Equality
    • 2.3 Further Solving Linear Equations
      • Integrated Review - Solving Linear Equations
    • 2.4 An Introduction to Problem Solving
    • 2.5 Formulas and Problem Solving
    • 2.6 Percent and Mixture Problem Solving
    • 2.7 Linear Inequalities and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  3. Graphing Equations and Inequalities
    • 3.1 Reading Graphs and the Rectangular Coordinate System
    • 3.2 Graphing Linear Equations
    • 3.3 Intercepts
    • 3.4 Slope and Rate of Change
      • Integrated Review - Summary on Solving Linear Equations
    • 3.5 Equations of Lines
    • 3.6 Graphing Linear Inequalities in Two Variables
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  4. Systems of Equations
    • 4.1 Solving Systems of Linear Equations by Graphing
    • 4.2 Solving Systems of Linear Equations by Substitution
      • Integrated Review - Summary on Solving Systems of Equations
    • 4.3 Solving Systems of Linear Equations by Addtion
    • 4.4 Systems of Linear Equations and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  5. Exponents and Polynomials
    • 5.1 Exponents
    • 5.2 Negative Exponents and Scientific Notation
    • 5.3 Introduction to Polynomials
    • 5.5 Multiplying Polynomials
    • 5.6 Special Products
      • Integrated Review - Exponents and Operations on Polynomials
    • 5.7 Dividing Polynomials
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  6. Factoring Polynomials
    • 6.1 The Greatest Common Factor and Factoring by Grouping
    • 6.2 Factoring Trinomials of the Form x2 + bx + c
    • 6.3 Factoring Trinomials of the Form ax2 + bx + c
    • 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
    • 6.5 Factoring by Special Products
      • Integrated Review - Choosing a Factoring Strategy
    • 6.6 Solving Quadratic Equations and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  7. Rational Expressions
    • 7.1 Simplifying Rational Expressions
    • 7.2 Multiplying and Dividing Rational Expressions
    • 7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
    • 7.4 Adding and Subtracting Rational Expressions with Different Denominators
    • 7.5 Solving Equations Containing Rational Expressions
      • Integrated Review - Summary on Rational Expressions
    • 7.6 Proportions and Problem Solving with Rational Equations
    • 7.7 Simplifying Complex Fractions
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  8. Graphs and Functions
    • 8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
    • 8.2 Introduction to Functions
    • 8.3 Polynomial and Rational Functions
      • Integrated Review - Linear Equations in Two Variables and Functions
    • 8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
    • 8.5 Shifting and Reflecting Graphs of Functions
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  9. Systems of Equations and Inequalities and Variation
    • 9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
    • 9.2 Solving Systems of Equations Using Matrices
      • Integrated Review - Systems of Linear Equations
    • 9.3 Systems of Linear Inequalities
    • 9.4 Variation and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  10. Rational Exponents, Radicals, and Complex Numbers
    • 10.1 Radical Expressions and Radical Functions
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Adding, Subtracting, and Multiplying Radical Expressions
    • 10.5 Rationalizing Numerators and Denominators of Radical Expressions
      • Integrated Review - Radicals and Rational Exponents
    • 10.6 Radical Equations and Problem Solving
    • 10.7 Complex Numbers
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  11. Quadratic Equations and Functions
    • 11.1 Solving Quadratic Equations by Completing the Square
    • 11.2 Solving Quadratic Equations by Using the Quadratic Formula
    • 11.3 Solving Equations by Using Quadratic Methods
      • Integrated Review - Summary on Solving Quadratic Equations
    • 11.4 Nonlinear Inequalities in One Variable
    • 11.5 Quadratic Functions and Their Graphs
    • 11.6 Further Graphing of Quadratic Functions
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  12. Exponential and Logarithmic Functions
    • 12.1 The Algebra of Functions
    • 12.2 Inverse Functions
    • 12.3 Exponential Functions
    • 12.4 Exponential Functions
    • 12.5 Logarithmic Functions
    • 12.6 Properties of Logarithms
      • Integrated Review - Functions and Properties of Logarithms
    • 12.7 Common Logarithms, Natural Logarithms, and Change of Base
    • 12.8 Exponential and Logarithmic Equations and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
  13. Conic Sections
    • 13.1 The Parabola and the Circle
    • 13.2 The Ellipse and the Hyperbola
      • Integrated Review - Graphing Conic Sections
    • 13.3 Solving Nonlinear Systems of Equations
    • 13.4 Nonlinear Inequalities and Systems of Inequalities
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review

Appendices

  • Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies
  • Appendix B: Transition Review: Solving Linear and Quadratic Equations
  • Appendix C: Sets and Compound Inequalities
  • Appendix D: Absolute Value Equations and Inequalities
  • Appendix E: Determinants and Cramer’s Rule
  • Appendix F: Review of Angles, Lines, and Special Triangles
  • Appendix G: Stretching and Compressing Graphs of Absolute Value Functions
  • Appendix H: An Introduction to Using a Graphing Utility

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