Linear equations are equations between two variables that gives a straight line when plotted on a graph. For example y = 2x + 1 is a linear equation - and as we will see it goes up by a regular amount and when we graph it it will be expressed as a straight line.
We will also look at how to easily recognise a linear equation and a non linear equation, through the use of three simple observations that can be made about the equation.
An easy quick math lesson for you.


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Most people are obsessed by the size of a car's engine, but what does an engine's capacity really mean?
In this video we'll look at engine capacity - what it is, and how it is easily worked out using the cylinder volume equation.

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Thanks to my Patreon Hugh for this question. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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Why can't you divide by zero? This lesson looks at why division by zero is not allowed - not only is the answer undefinable, but seriously, if you do do it, a whole bunch of people on youtube lose it.

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The twelve times table trick fast and easy to apply - and it will leave you able to multiply any number by twelve rapidly!
It is similar to an eleven times table trick we have looked at earlier - https://www.youtube.com/watch?v=_HrHUUWtsbE
Just follow these simple rules - for the number being multiplied, double each number in turn and add its neighbour (to the right). Some carrying may be involved but it is easy to handle. This math trick will amaze you!
When you try these out for yourself, write the figures spaced apart, and as you go through answering the question place each part of the answer directly below the digit the answer was derived from. This will help you avoid errors when getting the answer.
In this particualr case of multiplication it is important because you need to easily be able to identify the 'number' and the 'neighbour'.
This method works for all multiplication of twelve. It is not meant as a substitute for knowing your times table, rather, it is meant to allow you to expand your mathematical capabilities and to recognise patterns. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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Work out fractions of an unknown amount with this fast math lesson. This lesson explains the role of the denominator and numerator (bottom and top numbers) in a fraction to show how to solve these types of math problems quickly and easily. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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The Midpoint Formula. In this video we look at how to find the midpoint between two points. Quick, easy and simple. To support free math on Patreon (thank you): https://www.patreon.com/tecmath To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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This multiplication trick is really pretty obvious when you think about it.
Do you know it?

Here is THE mental multiplication lesson playlist - progressing you through your mental multiplication.
https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

Here is that link how to multiply questions like 3 x 54 instantly
https://youtu.be/yZULgerBRms


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This is the easiest way to learn your times tables from 10 to 20 is to use this shortcut.
What's more there is an easy visual explanation WHY this works!
On beyond Zebra!


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Convert from miles to kilometres instantly, and the back again! Or...convert from kilometres to miles. This method is a fast way to do the multiplication required!


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#convertingmeasurements
#convertingunits
#metric

Surds / Radicals - the basics - multiplication made easy To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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The circumference of a circle (also called the perimeter of a circle) is easy to work out - because you just multiply the diameter by pi!

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#perimeter
#cicumference
#circle

In this educational math lesson we'll discover the basics of angles, parallel lines and perpendicular lines. We'll look at the different types of angles that can be formed by intersecting lines and all that fun stuff.
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How to solve Simultaneous Equations using elimination.

Adding Fractions with a Different Denominator
Subtracting Fractions with a Different Denominator

This video is part of a playlist:
https://www.youtube.com/playli....st?list=PLjbxBzUM6SL


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#fractions
#fraction
#fractionsmath

Tree diagrams are used help work out outcomes when doing probability calcuations.




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This is the third example in a series looking at how to solve simultaneous equations using the elimination method.

For more examples of how to solve simultaneous equations using the elimination method go here: https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

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How do you put fractions on a number line? This allows you to compare equivalent fractions, and understand what the parts of a fraction mean. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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#fractions
#fraction
#fractionsmath

Factor trees can be used to work out the Greatest Common Factor - which is also called the greatest common divisor, or the highest common factor.

For the playlist of indicies and prime numbers.
https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

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Finding the square of a nmuber is easy - just follow these mental math tricks. You'll be able to calculate squares faster than ever and amaze everyone with your utter genius!

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#fastmathtricks
#mentalmath
#mathtrick

The trick to getting the right answer with volume calculations every time. Be a math genius with mental math. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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This trick allows you to work out the surface area almost instantly of ANY rectangular prism (or box). How do you work out the TSA (total surface area) of a box - watch this video and you'll be able to do it instantly!

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How to solve Simultaneous Equations by Elimination.

For more examples of how to solve simultaneous equations using the elimination method go here: https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

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Cube numbers are the result of multiplying a number by itself three times.
The opposite of cubic numbers are cube roots.

For the playlist of indicies and prime numbers.
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Multiply big numbers in your head!
And it's easy champions!

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The Order of operations is the order in which you should do a maths equations. You've probably heard it called BODMAS or PEDMAS...even BIDMAS or PIDMAS....it's all the same thing!
First do anything in brackets (also called parenthesis). Second, do any orders (these are squared, cubed, square root and the like). Any multiplication or divide come next, and finally do any addition or subtraction...left to right. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
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