Mini Exam 2 — Timed Mini Exams

Questions in this quiz (10)

1. The velocity of a stone that is thrown upward is represented by the equation $$v=-4t^2-16t+80$$, where $$v$$ represents velocity and $$t$$ represents time, in seconds. After how many seconds does the velocity of the stone become zero?

   • $$2.9$$
   • $$4.1$$
   • $$1.6$$
   • $$2.4$$

2. If $$x=3y+4$$ and $$y=-x-2$$, what is the value of $$xy$$?

   • $$\frac{3}{2}$$
   • $$\frac{1}{4}$$
   • $$\frac{1}{2}$$
   • $$\frac{3}{4}$$

3. If $$2^{x+3}=8^2$$, what is the value of $$x$$?

   • 3
   • 1
   • 4
   • 2

4. If $$\sqrt{8}\times\sqrt{m}=4b$$, what is the value of $$m$$ in terms of $$b$$?

   • $$2b$$
   • $$2b^2$$
   • $$4b^2$$
   • $$8b^2$$

5. If $$f(x)=3x^2+c$$ and $$g(x)=x+1$$, where $$c$$ is a constant, and $$\frac{f(g(2))}{f(1)}=2,$$ what is the value of $$c$$?

   • $$24$$
   • $$27$$
   • $$25$$
   • $$21$$

6. Depreciation is the decrease in value of an item. Four years ago, Emily bought a car for 16000. The car is now worth 10000. Assuming that the value of the car depreciates linearly, what is its yearly depreciation?

   • $$1500$$
   • $$1000$$
   • $$1200$$
   • $$1400$$

7. If $$0$$<$$a$$<$$2$$<$$b$$<$$c$$, each of the following could be less than $$\frac{1}{2}$$ EXCEPT:

   • $$\frac{a}{b}$$
   • $$\frac{a}{2}$$
   • $$\frac{2}{b}$$
   • $$\frac{c}{a}$$

8. The graph shows a company's Revenue and Costs (in thousands of dollars) from January to May. For which month was profit greatest?(Profit is defined as: $$\text{Profit}=\text{Revenue}-\text{Costs}.$$)

   • January
   • March
   • April
   • May

9. $$4,12,5,9,10$$The mean of the list of numbers above is what fraction of the sum of the five numbers?

   • $$\frac{5}{8}$$
   • $$\frac{8}{5}$$
   • $$\frac{1}{5}$$
   • $$\frac{4}{9}$$

10. Circle $$P$$ has a radius of $$5k$$, and circle $$Q$$ has a radius of $$40k-5$$, where $$k$$ is a positive constant. The area of circle $$Q$$ is how many times the area of circle $$P$$?

    • $$\frac{1}{5k^2}$$
    • $$\frac{(40k-5)^2}{25k^2}$$
    • $$\frac{40}{k^2}$$
    • $$\frac{(40k)^2}{25}$$