A4

Question 1

How do you simplify algebraic fractions (ie: x^2-81/x^2 + 6x -27)

Answer 1

You factorise both (complete square and regular factorising)

there will be one term in common (x+9) and once done you get one term as numerator and denominator (x-9)/(x+3)

Question 2

If you’re given a question like

Given that 5-3x : 9-x = 3x+7 : 4-x

find the possible values of x

Answer 2

if the ratio is

if a:b = c:d

do a/b = c/d
then do cross multiply, simplify from there and factorise.

DONT USE THE ANSWER FROM FACTORISING. If one is (x+6) then one of the solutions is -6 NOT 6

Question 3

If u get a question like

“solve (one algebraic fraction) + (another one) = 2” then wyd

Answer 3

Make the denominator the same on both by multiplying each denominator by the denominator of the other one.

because both are the same you write the expression as the numerators added, divided by the denominator (of any of the 2 expressions as they are the same)

You move the denominator over to the other side of the equals (with the 2) and then expand and simplify

expand and simplify the other side and solve from there (you may get a quadratic, in which case you must factorise)

Question 4

If you have to divide 2 algebraic fractions wyd

Answer 4

KCF to make it multiply
Make it into one fraction
(ie: Instead of x/3x * 2/8-x you make it 2x/(3x)(8-x))
Factorise all the terms to get into simplest form
Cancel out like terms

Question 5

What can ((x+y)+3) be simplified to

Answer 5

(x+y+3)

Question 6

what are 3 tips needed to successfully solve algebraic eqs

Answer 6

1) know how to factorise, ie: complete the square or regular factorising to find common terms

2) be able to divide algebraic fractions by finding these common terms to have less cluttered fractions

3) Focus on simplifying, cross multiplying and solving/rearranging