Sorry for such vague title.

Anyway, I am doing some math evaluation test when I ran across these bad boys.

For question #1, I have no idea where to begin.

For question #2, I forgot how to deal with absolute values.

For question #3:

$\displaystyle y= x+1 $ So, $\displaystyle y^2 = x^2 + 2x +1$ Sub that into the other equation and we get $\displaystyle \frac{x^2}{4} + \frac{x^2 +2x+1}{9} = 1$

$\displaystyle 9x^2 + 4x^2 + 8x + 4 = 36$

$\displaystyle 13x^2 + 8x - 32 = 0$ but we do not get any nice roots, and all the options for the questions are rational.

If some one can show me how to solve these, I would appreciate it