Mini Exam 44 — Timed Mini Exams

Questions in this quiz (10)

1. The sum of three consecutive odd integers is $$99$$. What is the largest of the three integers?

   • $$31$$
   • $$33$$
   • $$35$$
   • $$37$$

2. $$10S+18L\ge18,000$$ $$S+L\le1,200$$In the system of equations shown above, $$S$$ is the number of standard tickets sold and $$L$$ is the number of premium tickets sold. Which situation could these inequalities represent?

   • A theater wants revenue of at least $$18,000$$ dollars while selling no more than $$1,200$$ tickets.
   • A theater wants revenue of at most $$18,000$$ dollars while selling at least $$1,200$$ tickets.
   • A theater wants exactly $$1,200$$ tickets sold and exactly $$18,000$$ dollars in revenue.
   • A theater wants at least $$1,200$$ tickets sold and less than $$18,000$$ dollars in revenue.

3. A disease has a reproduction number $$R_0=3.8$$. If $$45$$ people are infected, approximately how many additional people would these individuals directly infect?

   • $$126$$
   • $$151$$
   • $$171$$
   • $$190$$

4. What equation represents the relationship between mass, $$m$$, and volume, $$v$$, in the graph?

   • $$v=3m$$
   • $$m=3v$$
   • $$m=6v$$
   • $$v=m+2$$

5. Circle $$A$$ has equation $$(x-4)^2+(y+1)^2=100,$$ and circle $$B$$ has equation $$(x+2)^2+(y-3)^2=36.$$ How many units greater is the circumference of circle $$A$$ than that of circle $$B$$?

   • $$2\pi$$
   • $$4\pi$$
   • $$6\pi$$
   • $$8\pi$$

6. If $$\frac56x-4=\frac13x+9,$$ what is the value of $$x$$?

   • 26

7. A line in the coordinate plane is vertical and has an $$x$$-intercept of $$-12$$. Which equation could represent the line?

   • $$x=-12$$
   • $$y=-12$$
   • $$y=12$$
   • $$x=12y$$

8. If $$\frac{x}{6}=9,$$ what is the value of $$\frac{x}{18}?$$

   • $$2$$
   • $$3$$
   • $$6$$
   • $$9$$

9. The table below shows pet owners who own exactly one pet. If one owner is selected at random, what is the probability that the person is a female cat owner?

   • $$\frac3{13}$$
   • $$\frac9{52}$$
   • $$\frac{54}{120}$$
   • $$\frac{54}{312}$$

10. The set $$\{3,5,8,8,10,14\}$$ has one additional number $$x$$ added to it. Which condition on $$x$$ guarantees that the median of the new set remains unchanged?

    • $$x\le 8$$
    • $$x\ge 8$$
    • $$x$$ < $$10$$
    • $$x$$ > $$14$$