Intermediate Algebra, 7th edition

Published by Pearson (July 14, 2021) © 2017

  • Elayn Martin-Gay University of New Orleans, Lakefront
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For courses in intermediate algebra.

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Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.

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Table of Contents

  1. Real Numbers and Algebraic Expressions
    • 1.1 Study Skill Tips for Success in Mathematics
    • 1.2 Algebraic Expressions and Sets of Numbers
    • 1.3 Operations on Real Numbers and Order of Operations
      • Integrated Review—Algebraic Expressions and Operations on Whole Numbers
    • 1.4 Properties of Real Numbers and Algebraic Expressions
  2. Equations, Inequalities, and Problem Solving
    • 2.1 Linear Equations in One Variable
    • 2.2 An Introduction to Problem Solving
    • 2.3 Formulas and Problem Solving
    • 2.4 Linear Inequalities and Problem Solving
      • Integrated Review—Linear Equations and Inequalities
    • 2.5 Compound Inequalities
    • 2.6 Absolute Value Equations
    • 2.7 Absolute Value Inequalities
  3. Graphs and Functions
    • 3.1 Graphing Equations
    • 3.2 Introduction to Functions
    • 3.3 Graphing Linear Functions
    • 3.4 The Slope of a Line
    • 3.5 Equations of Lines
      • Integrated Review—Linear Equations in Two Variables
    • 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
    • 3.7 Graphing Linear Inequalities
  4. Systems of Equations
    • 4.1 Solving Systems of Linear Equations in Two Variables
    • 4.2 Solving Systems of Linear Equations in Three Variables
    • 4.3 Systems of Linear Equations and Problem Solving
      • Integrated Review—Systems of Linear Equations
    • 4.4 Solving Systems of Equations by Matrices
    • 4.5 Systems of Linear Inequalities
  5. Exponents, Polynomials, and Polynomial Functions
    • 5.1 Exponents and Scientific Notation
    • 5.2 More Work with Exponents and Scientific Notation
    • 5.3 Polynomials and Polynomial Functions
    • 5.4 Multiplying Polynomials
    • 5.5 The Greatest Common Factor and Factoring by Grouping
    • 5.6 Factoring Trinomials
    • 5.7 Factoring by Special Products
      • Integrated Review—Operations on Polynomials and Factoring Strategies
    • 5.8 Solving Equations by Factoring and Problem Solving
  6. Rational Expressions
    • 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
    • 6.2 Adding and Subtracting Rational Expressions
    • 6.3 Simplifying Complex Fractions
    • 6.4 Dividing Polynomials: Long Division and Synthetic Division
    • 6.5 Solving Equations Containing Rational Expressions
      • Integrated Review—Expressions and Equations Containing Rational Expressions
    • 6.6 Rational Equations and Problem Solving
    • 6.7 Variation and Problem Solving
  7. Rational Exponents, Radicals, and Complex Numbers
    • 7.1 Radicals and Radical Functions
    • 7.2 Rational Exponents
    • 7.3 Simplifying Radical Expressions
    • 7.4 Adding, Subtracting, and Multiplying Radical Expressions
    • 7.5 Rationalizing Denominators and Numerators of Radical Expressions
      • Integrated Review—Radicals and Rational Exponents
    • 7.6 Radical Equations and Problem Solving
    • 7.7 Complex Numbers
  8. Quadratic Equations and Functions
    • 8.1 Solving Quadratic Equations by Completing the Square
    • 8.2 Solving Quadratic Equations by the Quadratic Formula
    • 8.3 Solving Equations by Using Quadratic Methods
      • Integrated Review—Summary on Solving Quadratic Equations
    • 8.4 Nonlinear Inequalities in One Variable
    • 8.5 Quadratic Functions and Their Graphs
    • 8.6 Further Graphing of Quadratic Functions
  9. Exponential and Logarithmic Functions
    • 9.1 The Algebra of Functions; Composite Functions
    • 9.2 Inverse Functions
    • 9.3 Exponential Functions
    • 9.4 Exponential Growth and Decay Functions
    • 9.5 Logarithmic Functions
    • 9.6 Properties of Logarithms
      • Integrated Review—Functions and Properties of Logarithms
    • 9.7 Common Logarithms, Natural Logarithms, and Change of Base
    • 9.8 Exponential and Logarithmic Equations and Problem Solving
  10. Conic Sections
    • 10.1 The Parabola and the Circle
    • 10.2 The Ellipse and the Hyperbola
      • Integrated Review—Graphing Conic Sections
    • 10.3 Solving Nonlinear Systems of Equations
    • 10.4 Nonlinear Inequalities and Systems of Inequalities
  11. Sequences, Series, and the Binomial Theorem
    • 11.1 Sequences
    • 11.2 Arithmetic and Geometric Sequences
    • 11.3 Series
      • Integrated Review—Sequences and Series
    • 11.4 Partial Sums of Arithmetic and Geometric Sequences
    • 11.5 The Binomial Theorem

Appendices

  1. Geometry
  2. Stretching and Compressing Graphs of Absolute Value Functions
  3. Solving Systems of Equations Using Determinants
  4. An Introduction to Using a Graphing Utility

Student Resources

Study Skills Builders

Bigger Picture—Study Guide Outline

Practice Final Exam

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