Algebra

Algebra IGCSE

On this tutorial you will learn

Here another link for IGCSE course here

Worksheet Further algebra download here

Expanding brackets

• Expanding a single bracket
• A quick way to square a bracket

Solving Equations (Linear type)

• Before you start - What is a term?
• Linear equations with a positive x-term
• Linear equations with a negative x-term
• Equations with two x terms and 2 constants
• Equations with brackets
• Fractional equations (1)
• Fractional equations (2)
• Fractional equations (3)
• Fractional equations (4)
• Fractional equations (5)

Indices

• Introduction
• Negative indices
• Fractions raised to a negative index
• Rational (fractional) indices

Factorising

• Introduction
• HCF types
• Grouping types
  • Quadratic expressions
    • Introduction
    • HCF (Highest Common Factor) types
    • Difference of two squares type
    • Trinomials : (grouping method)
    • Trinomials : (inspection method) 1 | 2 | 3 | 4 | 5 | 6 | 7
• Miscellaneous Exercise
  • Exercise

Quadratic Equations

• Equations
  • Solve by factorising
  • Solve by completing the square
  • Solve by the quadratic formula

Quadratic Graphs

• Sketching quadratic graphs

Simultaneous Equations

• Elimination method for linear types
  • Elimination method for linear equations
• Substitution Method for linear and non linear types
  • Substitution method

Inequalities

• Linear inequalities
  • introduction
  • rules for reversing the inequality sign
  • solving a linear type
  • solving a double inequality

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Quadratic Equations

On this session we will learn how to solve quadratic equation by 

1. Factorising

2. Completing the square

3. Formula

1. Quadratic Equations - Solution by factorising

All quadratic equations have the form

If a quadratic equation factorises then we can solve it by using a factorising method as shown in this video.

Summary Exercise

2. Quadratic Equations - Completing the square

In this tutorial you are shown how to solve a quadratic equation by using the method of completing the square. This is often used when a quadratic equation does not factorise.

3. Quadratic Equations - ABC Formula 

Some quadratic equations cannot be solved by factorising and so an alternative method is the quadratic formula. It is based on a method called completing the square

The first tutorial shows you when to use it, clues that are given in a question and common mistakes that are often made.

In the second video its show you how to derive it.

and Here the video how to derive the formula

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Transformation

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Become second is always forgotten

Alhamdulillah, Alhamdulillah, tsumma alhamdulillah, washsholatu wassalamu 'alaa rosulillah wa 'alaa aalihi washohbihi wa mawwaalah

My dear students

When we talk about the history about energy and electricity they will only mention the man who come up with, Not the man who developed

When we talking about phones, they only mention the man who came up with, Not the man who developed,

when we talking about fuqoha we always start with Imam Syafi'i because he is the first place

There is always no place for second person!

So as a muslim, if we say "i am happy, i am satisfied with the second place"
then i will tell YOU!

THAT IS MENTALITY OF A LOSER!

Because our Messenger SAW said only one person and he aim that

He SAW said " i want to be the one who has the most followers" so He want to be first!

He SAW want US as His followers to be the first and the best nations!

Do you know why today we muslims all over the world became followers or looser Not became a leader?

Its Because we NO longer AIM HIGH!
Remember Big Person always start from a Big Dream

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