Currently doing a practice test for my upcoming assignment and have flat out hit the wall on the following!! Any assistance would be greatly appreciated:
1) Subtract the fractions and simplify: (x+4)/(x+5)(x+9) - (x+4)/(x+9)
common denominator ...
(x+4)/[(x+5)(x+9)] - (x+4)(x+5)/[(x+9)(x+5)] = [(x+4) - (x+4)(x+5)]/[(x+5)(x+9)] , expand the numerator and combine like terms
2) 4/t + 1/2t + 1/2+t
once again, common denominator ... you do it.
3) find p in terms of the other unknowns 2p+4s+pt = q-s
2p + pt = q - 5s
p(2 + t) = q - 5s ... finish it
4) Solve 6/A^2-1 = 1/a+1 - 1/a-1
common denominator again ... then solve the equation formed by the numerators
5) The area of a rectangular vegetable garden is 384 square metres, if its length is 20m more than its width, what are the dimensions.
hint ... L = 20+W ... and, of course, you know the area formula for a rectangle