If a = 3 and b = 9 evaluate

a + b

3 +9=

= 12

Sub in a=3Sub in b=9

FormulaeFormulae

If a = 3 and b = 9 evaluate

ab

Sub in a=3Sub in b=9

Remember ab means a x b

a x b

3 x 9=

= 27

FormulaeFormulae

If a = 3 and b = 9 evaluate

4b

Sub in b=9

Remember 4b means 4 x b

4 x b

4 x 9=

= 36

FormulaeFormulae

If a = 5 and b = 3 evaluate2a +

4bSub in a=5Sub in b=3

Remember 2a means 2 x a

2xa + 4xb

2x5 +4x3

=

=

= 10 + 12= 22

FormulaeFormulae

If a = 5 and b = 3 evaluatea

Sub in a=5

Remember a2 means a x a

a x a

5 x 5

=

=

= 25

2

FormulaeFormulae

If a = 15 and b = 3 evaluate

aSub in a = 15

153

=

= 5

bSub in b = 3

FormulaeFormulae

Formulae

A formula is the process calculating a quantity based on a known relationship e.g. Length, Area,

Volume etc........It is VERY important that we remember a keypoint

when working with formulae.

BODMAS

Brackets

Other squares and square root etc....

Divide

Multiplication

Addition

Subtraction

Sometimes formulae are expressed in words.

Formulae

A tile fitter charges £20 per hour.

How much will he charge for 8 hours of work.

C = 20xh

For h = 8

C = 20 x 8 =

£160

Formulae

The cost for hiring a carpet cleaner is

£30 plus £3 a day

How much will it cost to hire for a week.

C = 30 + 3d

For d = 7

C = 30 + 3 x 7 =

£51

Formulae

Profit :

Subtract how much you paid for goods in the first place from the amount you actually sold them for.

How much profit did Daniel make if he bought a CD for £9.99 and sold it for £12

P = 12 – 9.99 =£2.01

Profit (P) =Selling Price – Cost Price

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

1 Table 3 Tables2 Tables

2 4 51 3Number of Tables

6 12 15

3 9Number of Surfers

Step 1 :

Fill empty boxes

3 3 3 3

Same differencelinear pattern

What is the formula

Step 2 : Find difference

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

2 4 51 3Number of Tables

6 12 15

3 9Number of Surfers

3 3 3 3

Can you write down formula connectingthe number of surfers and the number of tables.

S = 3 x T

S = 3T

HINT : Let the number of surfers be the letter S and the number of tables be the letter T

Step 3 :

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

Key-PointsKey-PointsWrite down the 3 main steps

1. Make a table

2. Find the difference

3. Use the difference to write down the formula

2 4 51 3Number of Tables

6 10 12

4 8Number of Surfers

Step 1 :

Fill empty boxes

2 2 2 2

Same differencelinear pattern

What is the formula

1 Table 3 Tables2 Tables

Complicated Linear Patterns Complicated Linear Patterns using diagrams and tablesusing diagrams and tables

Step 2 : Find difference

2 4 51 3Number of Tables

6 10 12

4 8Number of Surfers

2 2 2 2

S = 2T + 2

Complicated Linear Patterns Complicated Linear Patterns using diagrams and tablesusing diagrams and tables

S = 2 x TPart of the Formula

Correction factor “add on 2”

Find a number

so formula works

Step 3 :

Step 4 :

Key-PointsKey-Points

Write down the 4 main steps

1. Make a table

2. Find the difference

3. Write down part of formula

Complicated Linear Patterns Complicated Linear Patterns using diagrams and tablesusing diagrams and tables

4. Find the correction factor and then write down the full formula