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Algebra revision!
by Alexander Rogers
# Algebra revision!

## Trial & Improvement.

## Indeces: when you multiply, add them
together. when you divide, subtract
them.

## Factorising Expressions_ find the
highest common number of both
expressions

## Simplify-write the shortest sum! Remember -
2 negatives mean add!

## Expanding brackets: 5(2a+3b)_ times each
number inside the brackets by the one on
the outside.

## Example:2x+4y_2x + 4y highest common factor-2.
divide the sum by 2 and place in bracketslike
shown; 2(x+2y)

## This would all be set out in a
table with parts of the sums as
headers.

## Example:First guess: x = 3
3 × 3 × 3 + 3 = 27 + 3 = 30 - too small
Second guess x = 4
4 × 4 × 4 + 4 = 64 + 4 = 68 - too big
You now know that the answer is between 3 and 4.
Third guess: x = 3.5
3.5 × 3.5 × 3.5 + 3.5 = 42.875 + 3.5 = 46.375 - too small-you now know that the answer is between 3.5 and 4.
Fourth guess x = 3.6
3.6 × 3.6 × 3.6 + 3.6 = 46.656 + 3.6 = 50.256 - too big
We now know that the answer lies between 3.5 and 3.6. But it must be closer to 3.6, so the answer is x = 3.6 correct to 1 decimal place.

## essential hints for working
out algebra.

## Solving Equations:

## Factorising

## linear graphs-

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collecting like terms- 2a+2a=4a- do not mix symbols up.

Example: 5(p+2)=10_5p=0-p=0 5p+10=10

you must find the highest common factor_the largest number they can be divided by to make a whole number

using a co-ordinates grid, you plot a straight lineusing the given coordinates then label the line.(eg-Y=X=4)