pdf, 8.1 MB
pdf, 8.1 MB

Chapter 1: Introduction to Real Numbers and Algebraic Expressions
Complete Algebra Course Contents
Chapter 1: Introduction to Real Numbers and Algebraic Expressions

  • Introduction to Algebra
  • Algebraic Expressions
  • Translating Phrases into Algebraic Expressions
  • Translating Each Phrase into an Algebraic Expression
  • The Real Numbers
  • Natural Numbers
  • Whole Numbers
  • Integers
  • Rational Numbers
  • Irrational Numbers
  • Absolute Value
  • Addition of Real Numbers
  • Rules for Addition of Real Numbers
  • Opposites and Additive Inverses
  • Finding Opposites or Additive Inverses
  • Subtraction of Real Numbers
  • Multiplication of Real Numbers
  • The Multiplication Property of Zero
  • Division of Real Numbers
  • Properties of Real Numbers
    Chapter 2: Solving Equations and Inequalities
  • Solving Equations
  • The Addition Principle
  • Using the Principles Together
  • Formulas
  • Applications of Percents
  • Applications in Problem Solving
  • Applications and Problem Solving with Inequalities
    Chapter 3: Graphs of Linear Equations
  • Introduction to Graphs
  • Slope and Applications
    Chapter 4: Operations with Polynomials
  • Integers as Exponents
  • Exponents in Scientific Notation
  • Introduction to Polynomials
  • Addition and Subtraction of Polynomials
  • Multiplication of Polynomials
  • Special Products
  • Operations with Polynomials in Several Variables
  • Division of Polynomials
    Chapter 5: Factoring Polynomials
  • Introduction to Factoring
  • Factoring Trinomials of the Form (x^2+bx+c)
  • Prime Polynomials
  • Factoring Trinomials
  • Factoring Perfect-Square Trinomials and Differences of Squares
  • Solving Quadratic Equations by Factoring
  • Applications of Quadratic Equations
    Additional Topic: Rational Expressions
  • Rational Expressions
  • Detailed Explanations in Arabic

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