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Coursework Notes - Algebra

 

Basics

 

[ rules of sign ][ terms ][ collecting terms ]

 

 

Short-hand

 

short-hand

 

 

Rules of Sign

 

 

$\Large (+)(+) = (+) $

 

$\Large (+)(-) = (-) $

 

$\Large (-)(+) = (-) $

 

$\Large (-)(-) = (+) $

 

 

sign addition

 

 

$$ {\Large (+)\over \Large (+)} \Large = (+) $$

 

$$ {\Large (+) \over \Large (-)}\Large = (-) $$

 

$$ {\Large (-) \over \Large (+)} \Large = (-) $$

 

$$ {\Large (-)\over \Large (-)} \Large = (+) $$

 

 

sign divide #2

 

 

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Terms - A term is a collection of letters and/or numbers multiplied together, with a '+' or '-' sign infront of it.

 

terms #1

 

 

Terms are referred to as 'the term in ...' or 'the ... term'.

 

For example, '2y' is the term in 'y' or the '2y' term.

 

 

 

Simplifying/Collecting Terms - This involves grouping terms together and adding them.

 

 

Example #1

 

terms collection

 

 

Example #2

 

terms #3

 

 

Example #3

 

terms #4

 

 

 

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