1. Julie Beaumont

2.  Use algebra in different contexts  Create your own equation  State two rules when using simple algebra

3.  Algebra Algebra

4.  We often use formulas without even noticing. For example, we might convert miles to km by multiplying by 1.6, or find the circumference of a circle by multiplying pi by the diameter.  km = 1.6 x miles is an example of a formula.

5.  We have already seen that km = 1.6 x miles and C = × d are examples of formulas. There are many others that we use regularly in other subjects. Sometimes we have to construct our own formula:

6.  A taxi firm charges 50p per mile plus a fixed charge of £2.00. Write down a formula for the cost (C) of hiring this taxi to travel ‘n’ miles.

7.  Travelling 1 mile would cost £2 + 50p.  Travelling 2 miles would cost £2 + 2 x 50p.  Travelling 3 miles would cost £2 + 3 x 50p.  So travelling for 'n' miles will cost £2 + n x 50p.  The formula is C = £2 + (n x 50p)

8.  A rectangle has a width of x and a length of 2x.  Write down a formula for the perimeter (P) in terms of x.  Answer  P = 2x + x + 2x + x  Did you remember to include all 4 sides?  So P= 6x

9.  words and symbols in expressions and formulae represent variable quantities (i.e. numbers) not things ie 2a + 2b cannot be explained as 2 apples and 2 bananas  the contents of brackets must be worked out first  when there is no operator between a number and a variable, two variables, or a bracket, multiplication is implied

10.  To recap, the cost (C) of hiring this taxi to travel ‘n’ miles, when a taxi firm charges 50p per mile plus a fixed charge of £2.00 is:-  C = £2 + (n x 50p)  To find the cost of the taxi for a journey of 20 miles, replace 'n' with 20.  C = £2 + (20 x 50p)  C = £2 + £10  C = £12

11.  What is the cost of hiring this taxi for 16 miles?  Remember the formula - C = £2 + (n x 50p)  £10  Remember that C = £2 + (16 x 50p)  = £2 + £8  = £10

12.  Find the value of W using the given information  T= 18  U = 3  W = T/U  Answer = 6

13.  Complete the worksheets given to you to practise your new skills