Algebra revision!
by Alexander Rogers
1. Solving Equations:
1.1. Example: 5(p+2)=10_5p=0-p=0 5p+10=10
2. Factorising
2.1. you must find the highest common factor_the largest number they can be divided by to make a whole number
3. linear graphs-
3.1. using a co-ordinates grid, you plot a straight lineusing the given coordinates then label the line.(eg-Y=X=4)
4. Trial & Improvement.
5. Indeces: when you multiply, add them together. when you divide, subtract them.
6. Factorising Expressions_ find the highest common number of both expressions
7. Simplify-write the shortest sum! Remember - 2 negatives mean add!
8. Expanding brackets: 5(2a+3b)_ times each number inside the brackets by the one on the outside.
9. Example:2x+4y_2x + 4y highest common factor-2. divide the sum by 2 and place in bracketslike shown; 2(x+2y)
10. This would all be set out in a table with parts of the sums as headers.
11. 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.
12. essential hints for working out algebra.
12.1. collecting like terms- 2a+2a=4a- do not mix symbols up.
