Algebra Secret RevealedComplete Guide to Mastering Solutions to Algebraic Equations

By Joseph McDavd

Algebra Secret Revealed is here to take you on an exciting journey through the world of equations, variables, and mathematical problem-solving.

This comprehensive guide is designed to simplify Algebra and equip you with the tools to conquer even the most challenging math problems. Whether you're a student struggling with algebraic expressions or an adult looking to refresh your math knowledge, this resource is for you.

Inside "Algebra Secret Revealed," you'll discover step-by-step explanations, practical examples, and engaging exercises that will make Algebra come alive. Say goodbye to confusion and frustration as you uncover the hidden patterns and rules that govern Algebraic equations.

From solving linear equations to mastering quadratic formulas, this guide will walk you through every concept with clarity and simplicity. You'll learn how to manipulate variables, simplify expressions, and graph equations like a pro. With "Algebra Secret Revealed" by your side, you'll have the confidence to tackle any Algebraic problem that comes your way.

But that's not all! This guide goes beyond the basics and reveals insider tips and tricks to enhance your problem-solving skills. You'll discover shortcuts, strategies, and real-world applications of Algebra that will leave you amazed and inspired.

Whether you're preparing for a math exam, striving for academic success, or simply want to strengthen your logical thinking, "Algebra Secret Revealed" is your ultimate companion.

• Language: English
• Publisher: Joseph McDavid
• Release date: Aug 23, 2022
• ISBN: 9798201385118

Book preview

Algebra

Quick and Easy Way to Solve Problems

Simon Claus

CONTENTS

Chapter 1 Variables, Factors and Terms

Chapter 2 Addition of Algebraic Terms

Chapter 3 Subtraction of Algebraic Terms

Chapter 4 The Invisible 1 in Algebra

Chapter 5 Multiplication of Algebraic Expressions

Chapter 6 Dividing Algebraic Expressions

Chapter 7 Addition and Subtraction of Multiple Terms

Chapter 8 Multiplications and Division of Multiple Terms

Chapter 9 Operations of Sign Numbers

Chapter 10  Introduction to Parenthesis

Chapter 11 Rules of Exponents

Chapter 12 Rules of Parenthesis

Chapter 13 Power Rule

Chapter 14 Quotient Rule

Chapter 15 Product Rule

Chapter 16 Polynomials

Chapter 17 Degree of Polynomials

Chapter 18 Forms of Polynomials

Chapter 19 Properties of Algebra

Chapter 20 Add Subtract Multiply Divide Polynomials

Chapter 21 Long Division of Polynomials

Chapter 22 The Real Number System

Chapter 23 From Sentence to Equations

Chapter 24  Ratio and Proportion

Chapter 25 Linear Equations

Chapter 26 Graphing Linear Equations

Chapter 27 Solving Linear Equations Involving Fractions

Chapter 28 Quadratic Formula

Chapter 29  Quadratics Equations by Factoring

Chapter 30 Completing the Square

Chapter 31 Radicals

Chapter 32 Adding and Subtracting Radicals

Chapter 33 Multiplying and Dividing Radicals

Chapter 34 Solving Radical Equations

Chapter 35 Solving Linear Inequalities

Chapter 36 Pythagorean Theorem

Chapter 37 Logarithms and Logarithms Function

Chapter 38 Basic Concepts of Matrix

Chapter 39 Matrix Operations

Chapter 40 Cramer’s Rule

INTRODUCTION

ALGEBRA IS THE FOUNDATION of solving any mathematical equations. If you have knowledge in Algebra, it will be easy for us to solve any problems in mathematics and you may apply this in solving problems too in life and in business. Algebra teaches you to analyze, help us to develop critical thinking skills, it moves us beyond the basic of math and prepare us for higher mathematics.

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CHAPTER 1

VARIABLES, FACTORS AND TERMS

TO UNDERSTAND THE ALGEBRA in a way that we can understand it easily, there are certain things that we should fully understand and put more attention before we proceed on how to add, subtract, multiply and divide algebraic equations, we should have a knowledge first of what is terms and factors in an Algebraic Expressions.

What are Algebraic Expressions?

The combination of constants and variables, connected by signs of fundamental operations (+, -, ×, ÷) are called an algebraic expression.

9x - 2y + 5z is an algebraic expression

Where:

9x, 2y, and 5z are called terms of expressions.

TERMS AND FACTORS

A term in an algebraic expression is an expression involving letters or variables and numbers (called factors), multiplied together.

Example 1

8z

This is an example of one single term. It has two factors 8 and z.

The 8 is called the coefficient of the term and the z is a variable.

Example 2

8x + 7y

8x + 7y has two terms.

First term: 8x, and it has two factors 8 and x

Second term: 7y, it has two factors 7 and y

The 8 and 7 are called the coefficients of the terms.

Example 3

5x + 6ab - 7

IT HAS A 3 TERMS.

First Term: 5x it has two factors of 5 and x

Second Term: 6ab has three factor of 6, a, and b

Third Term: 7 has a three factors of 7, and

The 5, 6 and 7are called coefficients of the terms.

Example 4

3a +2ac +7x(a+b)

It has a 3 terms.

First Term: 3a has a two factor of 3 and a.

Second Term: 2ac has three factors of 2, a, and c.

Third Term: 7x(a+b) has three factors 7, x, and (a+b)

Note: The parentheses mean that we should treat whatever is enclosed as one number.

EXAMPLE 5

abc + (a+1)(b) + 9x

It has a 3 terms.

First Term: abc has a three factor of a, b and c.

Second Term: (a +1) (b) has two factors of (a+1) and b.

Third Term: 9x has two factors 9, x,

CHAPTER 2

ADDITION OF ALGEBRAIC TERMS

IMPORTANT: 

We can only add or subtract like terms.

In algebra we can only add things if the letters or variables are the same.

Example 1

2a+ 5a

Add first the numbers 2+5 =7

Copy the variable a

Final answer = 7a

EXAMPLE 2

2ab + 7ab

Add first the numbers 2+7 = 9

Copy the variable ab

Final answer = 9ab

EXAMPLE 3

3abc + 4abc+ 8abc

Add first the numbers 3+4+8 = 15

Copy the variable ABC