Coursework Notes - Algebra

Basics

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

Short-hand

Rules of Sign

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

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

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

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

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

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

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

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

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

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

Example #2

Example #3