1. A mobile plan charges a flat monthly fee of \$20.00 plus \$0.05 for every minute of data usage. If $C$ represents the total cost in dollars and $m$ represents the minutes of data used, which of the following equations correctly models this situation?
2. The function $h(t) = -16t^2 + 64t + 80$ models the height of a projectile over time $t$ in seconds. What is the maximum height reached by the projectile?
3. If $\dfrac{a}{b} = 3$, what is the value of $\dfrac{4b}{a}$?
4. Pete is being treated for a vitamin D deficiency. His blood levels of vitamin D were monitored over the course of the treatment and the results were plotted below:
*If the image is broken, ensure 'Vit-D.png' is in the folder.
Which equation better describes the vitamin-D levels ($V$) in terms of the number of weeks ($w$)?
5. Which of the following is equivalente to $(a^3 b^2)^4$
6. Which of the following is an equivalent form of the expression $2x^2 -8x - 24$?
7. Consider the system of equations below:
$\begin{cases} 3x + 2y = 12 \\ 6x + 4y = k \end{cases}$
For what value of constant $k$ does the system have infinitely many solutions?
8. The quarterly profit for a company is plotted below. Which quarter was the most profitable for this company?
*If the image is broken, ensure 'quarter-profit.png' is in the folder.
9. If $5(x-2) = 3x +4$, what is the value of $x$?
10. If $x^{2} - 10x + c = 0$ has exactly one real solution, what is the value of $c$?
11. A calculator is on sale for 20% off its original price of \$150. If there's a 6% sales tax applied to the discounted price, what is the final total cost?
12. Below is a graph of a quadratic function $f(x) = ax^{2} + bx + c$. What is TRUE about it?
*If the image is broken, ensure 'q12_graph.png' is in the folder.
13. If $\sqrt{2x+6} = 4$, what is the value of $x$?
14. The lines $ x - y + 1 = 0 $ and $2x +y -6 =0$ intersect in a point $(x_{s},y_{s})$.
*If the image is broken, ensure 'q14_graph.png' is in the folder.
What is correct about $x_{s}$ and $y_{s}$?