Math Is Fun Forum

Sorry if this is the wrong forum for this, but on Wednesday we're having an algebra test. Our teacher hinted that we could be moved up to the VCE class if we perform exceptionally well, and this is one of the few opportunities for us to do so. So yeah, I really want to get in, so I feel a lot of pressure.

In tests I always find I make really stupid mistakes even if I know the topic back to front. The algebra for the test is fairly simple, just an amped up version of what we learnt last year:
Solving and re-arranging for x in linear equations and inequations
Factorising and expanding polynomials, including, binomial expansions, trinomial factorisations, and excessive usage of DOPS.

So, could I have some tips on how to, well, basically ace a test? Thanks ^_^

For what values of a is there no solution?

(Answer = 0,1)

Well, you obviously cannot divide by zero... and when a = 1, 1-a = 0. So we have a =/= 1.

However, I'm thinking a can equal zero, let's try it:

Are the answers wrong or am I mistaken? Just wanted to make sure.

EDIT: I also have another question

Simplify:

Could you please guide me through it step by step? thanks

Simple rearranging here, but I think I mighta made a mistake (or two)

Solve for s: