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.

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

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: ab = a x b 4cd = 4 x c x d abc = a x b x c

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.

Eg: 5a/10a so we work out what 5 ÷ 10 which = 2; and a ÷ a, which = 1. So the answer is: a/2a

b/b = 1 any letter divided by itself = 1 (Now do worksheet - get from Mrs Nathan)

Try these worksheets on combining 'like terms' (harder):

## 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 Notesbeforethe term indicates whether the term is positive or negative (Eg: -4b + 5b -3b = -2b)Try to add/subtract these terms (circle the letters that are the same to make it easy):a) 3b – b =

b) 5a + 2a + 6a =

c) 7c -3c + 2b =

d) 10y + 5z - 5y =

e) 15a + 4b – a + 2b – 4c =

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: ab = a x b4cd = 4 x c x d

abc = a x b x c

- 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.

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):Combining Like Terms harder.pdf

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Practice on these Ebooks

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Linear Algebra and Number PatternsSee this site for notes and activities

http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/years7_10/teaching/algebra.htm

http://www.bbc.co.uk/schools/ks3bitesize/maths/algebra/number_patterns/activity.shtml