Table of contents for ebook and audiobook: „Mastering 6th Grade Algebra: A Comprehensive Guide”

Math Tutorials for 6th Grade Algebra by Halina Sabok

Introduction to Algebra

• Chapter 1: Numbers and Operations

  • 1.1: Introduction to Real Numbers
  • 1.2: Properties of Real Numbers
  • 1.3: Operations with Real Numbers
  • 1.4: Order of Operations
  • 1.5: Simplifying Expressions

• Chapter 2: Variables and Expressions

  • 2.1: Introduction to Variables
  • 2.2: Writing Expressions
  • 2.3: Evaluating Expressions
  • 2.4: Combining Like Terms
  • 2.5: Simplifying Algebraic Expressions

Equations and Inequalities

• Chapter 3: Linear Equations

  • 3.1: Introduction to Linear Equations
  • 3.2: Solving Linear Equations
  • 3.3: Graphing Linear Equations
  • 3.4: Solving Linear Inequalities
  • 3.5: Systems of Linear Equations

• Chapter 4: Quadratic Equations

  • 4.1: Introduction to Quadratic Equations
  • 4.2: Solving Quadratic Equations by Factoring
  • 4.3: Solving Quadratic Equations by the Quadratic Formula
  • 4.4: Solving Quadratic Inequalities
  • 4.5: Systems of Quadratic Equations

Functions

• Chapter 5: Introduction to Functions

  • 5.1: Introduction to Functions
  • 5.2: Domain and Range of a Function
  • 5.3: Evaluating Functions
  • 5.4: Graphing Functions
  • 5.5: Composition of Functions

• Chapter 6: Linear and Quadratic Functions

  • 6.1: Linear Functions
  • 6.2: Quadratic Functions
  • 6.3: Piecewise Functions
  • 6.4: Absolute Value Functions
  • 6.5: Polynomial Functions

Polynomials and Rational Expressions

• Chapter 7: Polynomials

  • 7.1: Introduction to Polynomials
  • 7.2: Adding and Subtracting Polynomials
  • 7.3: Multiplying Polynomials
  • 7.4: Dividing Polynomials
  • 7.5: Synthetic Division

• Chapter 8: Rational Expressions

  • 8.1: Introduction to Rational Expressions
  • 8.2: Simplifying Rational Expressions
  • 8.3: Adding and Subtracting Rational Expressions
  • 8.4: Multiplying Rational Expressions
  • 8.5: Dividing Rational Expressions

Exponents and Logarithms

• Chapter 9: Exponents

  • 9.1: Introduction to Exponents
  • 9.2: Properties of Exponents
  • 9.3: Simplifying Expressions with Exponents
  • 9.4: Exponent Rules
  • 9.5: Scientific Notation

• Chapter 10: Logarithms

  • 10.1: Introduction to Logarithms
  • 10.2: Properties of Logarithms
  • 10.3: Simplifying Logarithmic Expressions
  • 10.4: Logarithmic Equations
  • 10.5: Logarithmic Graphs

Systems of Equations and Inequalities

• Chapter 11: Systems of Linear Equations

  • 11.1: Introduction to Systems of Linear Equations
  • 11.2: Substitution Method
  • 11.3: Elimination Method
  • 11.4: Graphical Method
  • 11.5: Systems of Linear Inequalities

• Chapter 12: Systems of Quadratic Equations

  • 12.1: Introduction to Systems of Quadratic Equations
  • 12.2: Substitution Method
  • 12.3: Elimination Method
  • 12.4: Graphical Method
  • 12.5: Systems of Quadratic Inequalities

Review and Practice

• Chapter 13: Review of Algebra

  • 13.1: Review of Key Concepts
  • 13.2: Practice Problems
  • 13.3: Mixed Review
  • 13.4: Assessment
  • 13.5: Final Review