SAT Math: Advanced Math

Simplify: $\frac{x^2 - 1}{x + 1}$

Simplify $\frac{x^2 + 4x + 3}{x+1}$ using long division, expressing your answer in the form quotient + remainder/divisor.

Express $\frac{3x+5}{(x+1)(x+2)}$ as $\frac{A}{x+1} + \frac{B}{x+2}$ and find the value of A.

Add the following rational expressions: $\frac{3}{x} + \frac{5}{x}$

Multiply the following rational expressions: $\frac{x}{y} \cdot \frac{y}{z}$

Simplify the complex fraction: $\frac{\frac{1}{x}}{\frac{1}{x^2}}$

Simplify: $\frac{1}{x+1} - \frac{1}{x-1} + \frac{2}{x^2-1}$

Divide the following rational expressions: $\frac{x+1}{x} \div \frac{x+1}{x^2}$

Simplify the rational expression: $\frac{5x}{10x^2}$

Simplify the expression: $\frac{x^3 + 8}{x + 2}$