Algebra

== Practicing simplifying multiplication [|here first] and then [|here] ==

Explore this [|website] - lots of algebra sheets

Here's an Algebra [|HELP] website

Here is an Algebra Pre-test (what do you already know?)


 * Algebra Notes **


 * We use letters as well as numbers
 * Sometimes letters will represent a number (like when we substitute). Other times letters will not represent a number (Eg: 5b + 2b = 7b)
 * When we add or subtract numbers/letters we must only add/subtract those terms that have the exact same letter (Eg: 5b -3b + 4b² = 2b + 4b²)
 * If there is no sign before a number/letter the term is positive.
 * The sign **before** the term indicates whether the term is positive or negative (Eg: -4b + 5b -3b = -2b)
 * If you have just a letter like b, it is the same as 1b – we do not need to put the 1 in front of the b so we leave it out.
 * If you see a number and a letter together (Eg: 4b) it is the same as 4 x b.

a) 3b – b = b) 5a + 2a + 6a = c) 7c -3c + 2b = d) 10y + 5z - 5y = e) 15a + 4b – a + 2b – 4c =
 * Try to add/subtract these terms (circle the letters that are the same to make it easy): **

Eg: ab = a x b 4cd = 4 x c x d  abc = a x b x c
 * ALGEBRA – multiply and dividing **
 * 4b is the same as 4 x b. In Algebra if there is a number and letter (or letter and letter) next to one another we assume there is a times sign between them:

Eg: 5a/10a so we work out what 5 ÷ 10 which = 2; and a ÷ a, which = 1. So the answer is: a/2a > **(Now do worksheet - get from Mrs Nathan)** **Try these worksheets on combining 'like terms' (harder): **
 * When we are dividing we do not use the ÷ sign. We write it as a fraction in Algebra. So instead of 3a ÷ a we would write: 3a/a (but make it look like a fraction, on top of each other with a line in the middle)
 * When we divide in Algebra we divide any numbers first and then any letters.
 * b/b = 1 any letter divided by itself = 1

Expanding:

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Practice on these Ebooks
 * [[file:Expanding and Factoring Ans.pdf]]


 * __Linear Algebra and Number Patterns__**

See this site for notes and activities []

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