This instruction can mean:
|x2 - 9||x2 - x - 6||(x - 3)(x + 3)||(x - 3)(x + 4)|
|1(x + 2) - 1(x + 3)||-1|
|(x - 3)(x + 3)(X + 2)||(x - 3)(x + 3)(x+ 2)|
|4x2 - y2||(2x + y)(2x - y)||2x - y|
|2xy + y2||y(2x + y)||y|
This means that you should replace certain letters by the numbers you are given.
Example: if x = 9 find the value of
Replacing x by 9:
The instruction given in this case is usually express x in terms of y and z (obviously the letters change). Be very careful that you "do the same thing to both sides of the equation". Remember to "get rid" of something by "doing the opposite to both sides".
Example: If , express a in terms of b and c.
Example: Express a in terms of b and c where .
(has x’s and numbers)
Fractional linear Example:
(has x’s and numbers and fractions)
3. Linear simultaneous Example:
(has x’s and y’s)
4. Quadratics using factors Example:
1. Linear inequalities
Treat like equations but multiplying or dividing by a minus number reverses the inequality sign.
Algebra appears on Paper 1 in Question 1 (usually 40 or 50 marks), Question 3 (50 marks) and Question 6 (20/30 marks)
That’s a total of about 130 out of 600 marks or 22% just for Algebra!
Read and practice the methods on these sheets and then practice exam questions.