This is algebra review that emphasizes fractions and simplifying.

1. Simplify the following

   $$(\frac{1}{h})(\frac{1}{x+h} - \frac{1}{x})$$

2. Simplify

   $$\frac{(x + h)^2 - x^2}{h}$$

3. Simplify

   $$\frac{\sqrt{x^2 + 2x + 1}}{x+1}$$

4. Simplify

   $$\frac{x^2 + 3x + 2}{x^2 + 5x+6} - \frac{x-1}{x+3}$$

5. Simplify

   $$\frac{\sqrt{x+h} - \sqrt{x}}{h} \frac{\sqrt{x+h} + \sqrt{x}}{\sqrt{x+h} + \sqrt{x}}$$

6. Simplify

   $$\frac{(2x - 2x^{-3})x^2 - (x^2 - x^{-2})(2x)}{(x^2)^2}$$

7. Simplify

   $$\frac{1}{\frac{\sqrt{2}}{2} - \frac{2}{\sqrt{2}}}$$

8. Simplify

   $$\frac{\frac{1}{x} - \frac{2}{x^2}}{x^3}$$