Introduction to Number Systems

ch1-introduction

Rational Numbers

ch1-rational-numbers

Exercise 1.1 - Detailed Solutions

ch1-exercise-1-1

Irrational Numbers

ch1-irrational-numbers

Exercise 1.2 - Detailed Solutions

ch1-exercise-1-2

Real Numbers & Decimal Expansions

ch1-real-decimals

Exercise 1.3 - Detailed Solutions

ch1-exercise-1-3

Operations on Real Numbers

ch1-operations

Rationalizing the Denominator

ch1-rationalization

Exercise 1.4 & 1.5 - Solutions

ch1-exercise-1-4-5

Laws of Exponents for Real Numbers

ch1-laws-exponents

Chapter 1 Summary

ch1-summary

What is a Polynomial?

ch2-introduction

Types of Polynomials

ch2-types

Zeroes of a Polynomial

ch2-zeroes

Exercise 2.1 - Detailed Solutions

ch2-exercise-2-1

Remainder Theorem

ch2-remainder-theorem

Factor Theorem

ch2-factor-theorem

Algebraic Identities

ch2-identities

Exercise 2.4 - Identity Applications

ch2-exercise-2-4

Chapter 2 Summary

ch2-summary

The Cartesian Plane

ch3-introduction

Understanding Coordinates

ch3-coordinates

Exercise 3.1 & 3.2 - Solutions

ch3-exercise-1-2

Exercise 3.3 - Plotting Points

ch3-exercise-3

Chapter 3 Summary

ch3-summary

Linear Equations Introduction

ch4-introduction

Solutions of Linear Equations

ch4-solutions

Exercise 4.1 - Solutions

ch4-exercise-4-1

Exercise 4.2 - Solutions

ch4-exercise-4-2

Chapter 4 Summary

ch4-summary

Euclid's Definitions & Axioms

ch5-definitions

Exercise 5.1 - Solutions

ch5-exercise

Types of Angles

ch6-types-angles

Parallel Lines & Transversal

ch6-parallel

Congruence of Triangles

ch7-congruence

Properties of Triangles

ch7-properties

Types of Quadrilaterals

ch8-types

Circle Properties

ch9-properties

Heron's Formula

ch10-herons-formula

Surface Areas

ch11-surface-areas

Volumes

ch11-volumes

Data Presentation

data-presentation

Measures of Central Tendency

central-tendency

Basic Constructions

basic-constructions

Triangle Constructions

triangle-constructions

Experimental Probability

experimental-probability