Algebra Foundations: Prealgebra, Introductory Algebra & Intermediate Algebra, 2nd edition

  • Elayn Martin-Gay

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

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

ISBN-13: 9780136881179

Subject: Developmental Math

Category: Basic Math/Prealgebra, Beginning Algebra & Intermediate Algebra Combined

Table of contents

Table of Contents

  1. The Whole Numbers
    • 1.1 Study Skill Tips for Success in Mathematics
    • 1.2 Place Value, Names for Numbers, and Reading Tables
    • 1.3 Adding and Subtracting Whole Numbers, and Perimeter
    • 1.4 Rounding and Estimating
    • 1.5 Multiplying Whole Numbers and Area
    • 1.6 Dividing Whole Numbers
      • Integrated Review–Operations on Whole Numbers
    • 1.7 Exponents and Order of Operations
    • 1.8 Introduction to Variables, Algebraic Expressions, and Equations
  2. Integers and Introduction to Solving Equations
    • 2.1 Introduction to Integers
    • 2.2 Adding Integers
    • 2.3 Subtracting Integers
    • 2.4 Multiplying and Dividing Integers
      • Integrated Review–Integers
    • 2.5 Order of Operations
    • 2.6 Solving Equations: The Addition and Multiplication Properties
  3. Solving Equations and Problem Solving
    • 3.1 Simplifying Algebraic Expressions
    • 3.2 Solving Equations: Review of the Addition and Multiplication Properties
      • Integrated Review–Expressions and Equations
    • 3.3 Solving Linear Equations in One Variable
    • 3.4 Linear Equations in One Variable and Problem Solving
  4. Fractions and Mixed Numbers
    • 4.1 Introduction to Fractions and Mixed Numbers
    • 4.2 Factors and Simplest Form
    • 4.3 Multiplying and Dividing Fractions
    • 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
    • 4.5 Adding and Subtracting Unlike Fractions
      • Integrated Review–Summary on Fractions and Operations on Fractions
    • 4.6 Complex Fractions and Review of Order of Operations
    • 4.7 Operations on Mixed Numbers
    • 4.8 Solving Equations Containing Fractions
  5. Decimals
    • 5.1 Introduction to Decimals
    • 5.2 Adding and Subtracting Decimals
    • 5.3 Multiplying Decimals and Circumference of a Circle
    • 5.4 Dividing Decimals
      • Integrated Review–Operations on Decimals
    • 5.5 Fractions, Decimals, and Order of Operations
    • 5.6 Solving Equations Containing Decimals
    • 5.7 Decimal Applications: Mean, Median, and Mode
  6. Ratio, Proportion, and Percent
    • 6.1 Ratio and Proportion
    • 6.2 Percents, Decimals, and Fractions
    • 6.3 Solving Percent Problems with Equations
    • 6.4 Solving Percent Problems with Proportions
      • Integrated Review–Ratio, Proportion, and Percent
    • 6.5 Applications of Percent
    • 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
    • 6.7 Percent and Problem Solving: Interest
  7. Graphs, Triangle Applications, and Introduction to Statistics and Probability
    • 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
    • 7.2 Circle Graphs
      • Integrated Review–Reading Graphs
    • 7.3 Square Roots and the Pythagorean Theorem
    • 7.4 Congruent and Similar Triangles
    • 7.5 Counting and Introduction to Probability
  8. Geometry and Measurement
    • 8.1 Lines and Angles
    • 8.2 Perimeter
    • 8.3 Area, Volume, and Surface Area
      • Integrated Review–Geometry Concepts
    • 8.4 Linear Measurement
    • 8.5 Weight and Mass
    • 8.6 Capacity
    • 8.7 Temperature and Conversions Between the U.S. and Metric Systems
  9. Equations, Inequalities, and Problem Solving
    • 9.1 Symbols and Sets of Numbers
    • 9.2 Properties of Real Numbers
    • 9.3 Further Solving Linear Equations
      • Integrated Review–Real Numbers and Solving Linear Equations
    • 9.4 Further Problem Solving
    • 9.5 Formulas and Problem Solving
    • 9.6 Linear Inequalities and Problem Solving
  10. Graphing
    • 10.1 The Rectangular Coordinate System
    • 10.2 Graphing Linear Equations
    • 10.3 Intercepts
    • 10.4 Slope and Rate of Change
      • Integrated Review–Summary on Slope and Graphing Linear Equations
    • 10.5 Equation of Lines
    • 10.6 Functions
  11. Solving Systems of Linear Equations
    • 11.1 Solving Systems of Linear Equations by Graphing
    • 11.2 Solving Systems of Linear Equations by Substitution
    • 11.3 Solving Systems of Linear Equations by Addition
      • Integrated Review–Solving Systems of Equations
    • 11.4 Solving Systems of Linear Equations in Three Variables
    • 11.5 Systems of Linear Equations and Problem Solving
  12. Exponents and Polynomials
    • 12.1 Exponents
    • 12.2 Polynomial Functions and Adding and Subtracting Polynomials
    • 12.3 Multiplying Polynomials
    • 12.4 Special Products
      • Integrated Review–Exponents and Operations on Polynomials
    • 12.5 Negative Exponents and Scientific Notation
    • 12.6 Dividing Polynomials
    • 12.7 Synthetic Division and the Remainder Theorem
  13. Factoring Polynomials
    • 13.1 The Greatest Common Factor and Factoring by Grouping
    • 13.2 Factoring Trinomials of the Form x2 + bx + c
    • 13.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
    • 13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
    • 13.5 Factoring Binomials
      • Integrated Review–Choosing a Factoring Strategy
    • 13.6 Solving Quadratic Equations by Factoring
    • 13.7 Quadratic Equations and Problem Solving
  14. Rational Expressions
    • 14.1 Rational Functions and Simplifying Rational Expressions
    • 14.2 Multiplying and Dividing Rational Expressions
    • 14.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
    • 14.4 Adding and Subtracting Rational Expressions with Unlike Denominators
    • 14.5 Solving Equations Containing Rational Expressions
      • Integrated Review–Summary on Rational Expressions
    • 14.6 Problem Solving with Proportions and Rational Equations
    • 14.7 Simplifying Complex Fractions
  15. More on Functions and Graphs
    • 15.1 Graphing and Writing Linear Functions
    • 15.2 Reviewing Function Notation and Graphing Nonlinear Functions
      • Integrated Review–Summary on Functions and Equations of Lines
    • 15.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
    • 15.4 Variation and Problem Solving
  16. Inequalities and Absolute Value
    • 16.1 Compound Inequalities
    • 16.2 Absolute Value Equations
    • 16.3 Absolute Value Inequalities
      • Integrated Review–Solving Compound Inequalities and Absolute Value Equations and Inequalities
    • 16.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
  17. Rational Exponents, Radicals, and Complex Numbers
    • 17.1 Radicals and Radical Functions
    • 17.2 Rational Exponents
    • 17.3 Simplifying Radical Expressions
    • 17.4 Adding, Subtracting, and Multiplying Radical Expressions
    • 17.5 Rationalizing Denominators and Numerators of Radical Expressions
      • Integrated Review–Radicals and Rational Exponents
    • 17.6 Radical Equations and Problem Solving
    • 17.7 Complex Numbers
  18. Quadratic Equations and Functions
    • 18.1 Solving Quadratic Equations by Completing the Square
    • 18.2 Solving Quadratic Equations by the Quadratic Formula
    • 18.3 Solving Equations by Using Quadratic Methods
      • Integrated Review–Summary on Solving Quadratic Equations
    • 18.4 Nonlinear Inequalities in One Variable
    • 18.5 Quadratic Functions and Their Graphs
    • 18.6 Further Graphing of Quadratic Functions
  19. Exponential and Logarithmic Functions
    • 19.1 The Algebra of Functions: Composite Functions
    • 19.2 Inverse Functions
    • 19.3 Exponential Functions
    • 19.4 Exponential Growth and Decay Functions
    • 19.5 Logarithmic Functions
    • 19.6 Properties of Logarithms
      • Integrated Review–Functions and Properties of Logarithms
    • 19.7 Common Logarithms, Natural Logarithms, and Change of Base
    • 19.8 Exponential and Logarithmic Equations and Problem Solving
  20. Conic Sections
    • 20.1 The Parabola and the Circle
    • 20.2 The Ellipse and the Hyperbola
      • Integrated Review–Graphing Conic Sections
    • 20.3 Solving Nonlinear Systems of Equations
    • 20.4 Nonlinear Inequalities and Systems of Inequalities
  21. Sequences, Series, and the Binomial Theorem
    • 21.1 Sequences
    • 21.2 Arithmetic and Geometric Sequences
    • 21.3 Series
      • Integrated Review–Sequences and Series
    • 21.4 Partial Sums of Arithmetic and Geometric Sequences
    • 21.5 The Binomial Theorem


  • Appendix A. Tables
    • A.1 Table of Geometric Figures
    • A.2 Table of Percents, Decimals, and Fraction Equivalents
    • A.3 Table on Finding Common Percents of a Number
    • A.4 Table of Squares and Square Roots
    • A.5 Geometric Formulas
  • Appendix B. Review of Algebra Topics
    • B.1 Equations (Linear and Quadratic Solved by Factoring)
    • B.2 Mixture and Uniform Motion Problem Solving
    • B.3 Graphing
    • B.4 Polynomials and Factoring
    • B.5 Rational Expressions
  • Appendix C. Stretching and Compressing Graphs of Absolute Value Functions
  • Appendix D. An Introduction to Using a Graphing Utility
  • Appendix E. Solving Systems of Equations by Matrices
  • Appendix F. Solving Systems of Equations by Determinants

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