Algebra

Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

Add, subtract, multiply and divide algebraic fractions.

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

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Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Harder inequalities that involve terms like $\frac{1}{x}$ where multiplication by the denominator requires you to split into cases for positive or negative, or you multiply by the square of the denominator.

Solving inequalities that involve a quadratic and where the right-hand side is 0.

Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

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