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Algebra - Part 1
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algebra-pt1.md

Algebra - Part 1

Chapter 1 - Mathematical Operations

  • Basic Concepts and Mathematical Operations with Zero (p. 9)
  • Order of Mathematical Operations - Without Brackets and with Brackets (p. 15)
  • Using Calculator for Calculations (p. 28)
  • Simple Fractions (p. 30)
  • Decimal Fractions (p. 41)
  • Laws of Mathematical Operations - Distributive Law, Grouping Law, Addition Law (p. 49)
  • Division and Decimal Point (p. 62)
  • Powers and Roots (p. 71)

Chapter 2 - Percentages

  • Converting from Fractions to Percentages and Vice Versa (p. 84)
  • Comparing Fractions and Calculations Using Percentages (p. 90)
  • The Basic Notation of Percentages (p. 94)
  • Percentage Problems (Without Unknown) (p. 99)
  • Discount and Price Increases (p. 102)

Chapter 3 - Directed Numbers

  • Directed Numbers (Integers) (p. 108)
  • Absolute Value (p. 119)
  • Adding Directed Numbers (p. 124)
  • Negative Numbers, Subtracting Directed Numbers (p. 135)
  • Using Brackets (p. 144)
  • The Distance Between Two Numbers (p. 152)
  • All About Directed Numbers (p. 156)
  • Opposite Numbers, Dividing Directed Numbers (p. 164)
  • Order of Operations with Directed Numbers and Calculator Use (p. 173)
  • Powers and Roots with Directed Numbers (p. 177)

Chapter 4 - Number Patterns

  • Number Patterns, Pattern Setup (p. 186)
  • Pattern Group (p. 199)
  • Compatible Number Patterns, Simplifying Number Patterns (p. 208)
  • Every Number and Every Variable in Number Patterns (p. 215)
  • Simplifying Number Patterns with Fractions (p. 224)
  • Problems Related to Number Patterns - Basic Concepts (p. 230)
  • Problems Related to Number Patterns - General Problems (p. 242)
  • Number Patterns - Number Problems (p. 257)
  • Number Patterns - Movement Problems (p. 266)
  • Number Patterns with Percentages (p. 278)
  • Number Patterns in New Format (Including Interest) (p. 286)
  • Division into Unequal Parts (p. 304)

Chapter 5 - Phrase Patterns

  • Phrases and Phrase Patterns (p. 307)
  • Problems Related to Phrase Patterns - General Problems (p. 320)
  • Problems Related to Phrase Patterns by Topics (Numbers, Movement, Percentages, New Format) (p. 328)
  • Problems Related to Phrase Patterns that are Inequalities (p. 342)

Chapter 6 - Equations and Inequalities

  • Simple Equations (First Degree) (p. 346)
  • Equations with Brackets (p. 355)
  • Equations with Fractions (p. 358)
  • Special Equations and Complex Equations (p. 363)
  • Inequalities and Equations Not of First Degree (p. 365)

Chapter 7 - Problems

  • General Problems (p. 369)
  • Problems by Topics (Numbers, Movement, Percentages, New Format) (p. 377)

Chapter 8 - Coordinate System and Graphical Description

  • Coordinate System - Basic Concepts (p. 387)
  • Organization and Data Presentation in Graph Form (p. 397)

Chapter 9 - Statistics

  • Data Collection and Presentation in Frequency Tables (p. 414)
  • Graphical Description of Data (p. 423)
  • The Average (p. 428)
  • The Median and Mode (p. 434)

Chapter 10 - Groups

  • Groups - Basic Concepts (p. 442)
  • The One-to-One State of Groups (p. 451)
  • Groups on the Number Line (p. 464)

Appendix A - Powers

  • Laws of Powers (p. 474)
  • Powers with Zero Exponent and Negative Exponent (p. 484)

Appendix B - Counting Methods and Basics

  • Counting Methods (p. 491)
  • Basics (p. 495)
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