Here is a practice question on parabolas in the coordinate plane.

What does $i – i^2 + i^3 – i^4 + \cdots + i^{97} – i^{98}$ equal, where the imaginary number $i$ is defined as $i^2=-1$ ?

1. $\quad -i-1$
2. $\quad -i+1$
3. $\quad 0$
4. $\quad i-1$
5. $\quad i+1$

 
Here is a practice question on simplifying trigonometric expressions.

For all $\theta$, $\quad \sin \theta + {(\cot \theta})(\cos{\theta})$ is equivalent to

1. $\quad \csc \theta$
2. $\quad \sec \theta$
3. $\quad \cot \theta$
4. $\quad \tan \theta$
5. $\quad \cos \theta$

 
Here is a practice question on straight lines in the coordinate plane.

If the point $(a, -2)$ falls on the straight line $2y-3x=-6$ in the standard $(x, y)$ coordinate plane, then $a=$ ?

1. $\quad -\dfrac{3}{2}$
2. $\quad -\dfrac{2}{3}$
3. $\quad \dfrac{2}{3}$
4. $\quad \dfrac{3}{2}$
5. $\quad \dfrac{10}{3}$

 
Here is a practice question on how the volume of a cylinder varies with its height and radius.

The radius of a right circular cylinder is doubled and the height of the cylinder is halved to form a new right circular cylinder. The volume of the new
cylinder is how many times the volume of the original cylinder?

1. $\quad \dfrac{1}{4}$
2. $\quad \dfrac{1}{2}$
3. $\quad 1$
4. $\quad 2$
5. $\quad 4$