In an arithmetic progression the difference between consecutive terms is a constant. For example, the sequence $3, 7, 11, 15, \ldots$ is an arithmetic progression where the consecutive terms are $4$ apart. If the first term of an arithmetic progression is $4$ and the last term is $54$, and the sum is $609$, then what is the third term?

1. $\quad 8$
2. $\quad 8.5$
3. $\quad 9$
4. $\quad 9.5$
5. $\quad 10$

1. $\quad 0 \lt x \lt 3$
2. $\quad -1 \lt x \lt 3$
3. $\quad -2 \lt x \lt 3$
4. $\quad -3 \lt x \lt 3$
5. $\quad x \lt -1 \quad \textrm{or} \quad x \gt 3$

1. $\quad -6$
2. $\quad -2$
3. $\quad 2$
4. $\quad 3$
5. $\quad 6$

In the figure above, the length of side $AB$ of triangle $ABC$ is $3$, and $\angle A = \angle C= 30^{\circ}$. What is the area of the triangle $ABC$?

1. $\quad \dfrac{9\sqrt{3}}{8}$
2. $\quad \dfrac{9}{4}$
3. $\quad \dfrac{9\sqrt{3}}{4}$
4. $\quad \dfrac{9}{2}$
5. $\quad \dfrac{27\sqrt{3}}{8}$

An object thrown directly upward is at a height of $h$ feet after $t$ seconds, where $h = -16t^2 + 12t + 24$. The number $24$ in this equation represents which of the following?

1. $\quad$ The highest distance the ball is from the ground.
2. $\quad$ The distance the ball is from the ground when it is thrown upward.
3. $\quad$ The number of seconds the ball will take to reach the highest point.
4. $\quad$ The number of seconds the ball will take to reach the ground.
5. $\quad$ The velocity of the ball when it is thrown.