Algebra The Basics(2)

Simplifying expressions Collecting terms

­3x

Multiplying terms

Dividing terms

Multiply out brackets

Remember

Remember

BODMAS says

•Y × X = YX

•You can divide powers of the same number by subtracting the

•

powers, so

•

•P × P = P

Remember that a 'term' has a sign, a number and a letter. The sign stays 'glued' onto the number and letter so you can move them around... E.G. 1. So is the same as because I just moved the -3x. This works out to be Object 1

Object 2

Object 3

E.G. 2. Sometimes you have to think about the directed numbers, so is the same as Object 4

2

•–4 × 5 = –20

•

So

×

2y

=

–6xy

The steps 1.Sort out the signs 2.Multiply the numbers 3.Multiply the letters Some examples

2.

Object 6

Object 7

Try the ones on the practice sheet now before moving on...

KPB 2009

3. 4. 5.

Object 19

So, look at the lines...

Object 15

Object 20

same as for multiplying Try to follow these examples (and remember your directed numbers)

1.Sort out the signs 2.Cancel the numbers

1.

3.Work out the powers of the letters

2.

A few examples 1.

Object 8

Object 5

E.G. 3. Powers must be treated as different symbols, so in the expression , 2 you treat p as different to p, giving

The rules are the

The steps

1.

You can also do the sum like this

Object 14

•–7 × –9 = +63

­3x

Object 18

2. Object 13

Object 11

Object 23

Object 24

A minus sign outside the bracket simply switches all the signs in the bracket. If there are two brackets, just

3. Object 12

Make sure you know how the examples work, and then try the ones on the practice sheet before moving on...

4.

Object 22

Xs cancelled Object 16

Object 9

Object 10

3.

Object 21

Object 17

Your turn, try cancelling the algebraic fractions on the practice sheet...

1.Multiply out the first 2.Multiply out the second 3.Collect the terms! Your turn...