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If a = 3 and b = 9 evaluatePowerPoint Presentation

If a = 3 and b = 9 evaluate

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### Formulae

### Complicated Linear Patterns using diagrams and tables

### Complicated Linear Patterns using diagrams and tables

### Complicated Linear Patterns using diagrams and tables

If a = 3and b = 9evaluate

ab

a x b

Remember ab means a x b

Sub in a=3

=

3

9

x

Sub in b=9

=

27

If a = 5and b = 3evaluate

2a + 4b

2xa + 4xb

=

Remember 2a means 2 x a

Sub in a=5

4x

3

=

2x

5

+

Sub in b=3

=

10

12

+

=

22

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.

B

Brackets

O

Other squares and square root etc....

D

Divide

M

Multiplication

A

Addition

S

Subtraction

Sometimes formulae are expressed in words.

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

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

£51

C = 30 + 3 x 7 =

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

Profit (P) =

Cost Price

Selling Price –

£2.01

P = 12 – 9.99 =

2

4

5

1

3

9

3

1 Table

2 Tables

3 Tables

3

3

3

3

Simple Linear Patterns using diagrams and tables

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

12

15

Step 2 : Find difference

What is the formula

Same difference

linear pattern

Number of Surfers

12

15

3

4

5

2

3

6

9

1

3

3

3

3

HINT : Let the number of surfers be the letter S

and the number of tables be the letter T

Step 3 :

Can you write down formula connecting

the number of surfers and the number of tables.

Simple Linear Patterns using diagrams and tables

S = 3 x T

S = 3T

Simple Linear Patterns using diagrams and tables

Key-Points

Write down the 3 main steps

1. Make a table

2. Find the difference

3. Use the difference to write

down the formula

3 Tables

1 Table

2 Tables

8

4

2

3

1

5

4

6

2

2

2

2

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

10

12

Step 2 : Find difference

What is the formula

Same difference

linear pattern

Number of Tables

Number of Surfers

10

12

6

5

1

4

2

4

8

3

2

2

2

2

S = 2 x T

Part of the Formula

Find a number

so formula works

Step 3 :

Step 4 :

S = 2T + 2

Correction factor “add on 2”

Key-Points

Write down the 4 main steps

1. Make a table

2. Find the difference

3. Write down part of formula

4. Find the correction factor and

then write down the full formula

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