Mini Exam 15 — Timed Mini Exams

Questions in this quiz (10)

1. If $$\frac{a}{b}=5$$ and $$\frac{30a}{kb}=6,$$ what is the value of $$k?$$

   • $$6$$
   • $$25$$
   • $$30$$
   • $$15$$

2. Triangle ABC is a right triangle. Which expression is equivalent to $$\sin A$$?

   • $$\frac{24}{32}$$
   • $$\frac{32}{24}$$
   • $$\frac{2}{2}$$
   • $$\frac{32}{40}$$

3. A community center is forming a planning board for a new sports complex. Of those invited to join the board, $$20%$$ are local business owners, $$40%$$ are volunteer coaches, $$30%$$ are city officials, and the remaining $$8$$ individuals are students. How many more volunteer coaches were invited than city officials?

   • $$6$$
   • $$8$$
   • $$12$$
   • $$24$$

4. In a set of four consecutive even integers ordered from least to greatest, the first integer is represented by $$x$$. The product of $$10$$ and the third integer is no more than $$40$$ less than the sum of the second and fourth integers. Which inequality represents this situation?

   • $$10(x+2)\le(x+2)+(x+6)-40$$
   • $$10(x+4)\ge40-((x+2)+(x+6))$$
   • $$10(x+4)\le(x+2)+(x+6)-40$$
   • $$10(x+2)\ge40-((x+2)+(x+6))$$

5. The table shows the linear relationship between the number of vans $$v$$ in a shuttle fleet, and the maximum number of passengers $$p$$ that the fleet can carry. Which equation represents the linear relationship between $$v$$ and $$p$$?

   • $$40v-p= 16$$
   • $$40p-v= 16$$
   • $$40v-p= -16$$
   • $$40p-v= -16$$

6. $$12,\,19,\,14,\,20,\,x$$The mean and the median of the five numbers above are equal. Which of the following is a possible value of $$x$$?

   • $$14$$
   • $$5$$
   • $$10$$
   • $$20$$

7. Triangle $$PQR$$ is similar to triangle $$STU$$, where angle $$P$$ corresponds to angle $$S$$, and angles $$R$$ and $$U$$ are right angles. If $$\cos Q=\frac1{15}$$, what is the value of $$\cos T$$?

   • $$\frac{14}{15}$$
   • $$\frac{1}{2}$$
   • $$\frac{1}{15}$$
   • $$\frac{1}{3}$$

8. The histograms summarize the distributions of number of units sold (in thousands) for company $$C$$ and company $$D$$. Which statement best compares the standard deviations of number of units sold for these companies?

   • The standard deviation of number of units sold for company $$C$$ is less than the standard deviation of number of units sold for company $$D$$.
   • The standard deviation of number of units sold for company $$C$$ is greater than the standard deviation of number of units sold for company $$D$$.
   • The standard deviation of number of units sold for company $$C$$ is equal to the standard deviation of number of units sold for company $$D$$.
   • There is not enough information to compare the standard deviations.

9. The scatterplot displays how long, in hours, a specific bird spent flying, represented by $$y$$, compared with the number of days after January $$11$$, represented by $$x$$. Based on the scatterplot, approximate the bird’s average change in flight time, measured in hours per day, between January $$12$$ and January $$17$$.

   • $$-1$$
   • $$1.4$$
   • $$1$$
   • $$-1.4$$

10. The function $$g(x)=(x-3)(x+1)(x+4)$$ is given. Which table of values represents $$y=g(x)+2$$?