Mini Exam 5 — Timed Mini Exams

Questions in this quiz (10)

1. $$275$$ is $$w\%$$ greater than $$125$$. What is the value of $$w$$?

   • $$170$$
   • $$175$$
   • $$120$$
   • $$155$$

2. $$h(t)=18000(0.92)^t$$The given function $$h$$ models the estimated value, in dollars, of a piece of medical equipment, where $$t$$ represents the number of years since the beginning of $$2020$$, and $$0\le t\le6$$. If $$y=h(t)$$ is graphed in the $$xy$$-plane, which of the following is the best interpretation of the $$y$$-intercept of the graph in this context?

   • The minimum estimated value of the equipment during the $$6$$-year period was $$10153$$.
   • The estimated value of the equipment at the beginning of $$2020$$ was $$10153$$.
   • The minimum estimated value of the equipment during the $$6$$-year period was $$18000$$.
   • The estimated value of the equipment at the beginning of $$2020$$ was $$18000$$.

3. Which of the following expressions has a factor of $$x-4m$$, where $$m$$ is a positive integer constant?

   • $$3x^2-40x-48m$$
   • $$3x^2-28x-48m$$
   • $$3x^2-16x-48m$$
   • None of the above

4. The average yield of corn on a particular farm, in bushels per acre, increased from $$140$$ in the year $$2000$$ to $$175$$ in the year $$2020$$. The farm had $$500$$ acres of corn planted in both of these years. By how many bushels did the farm's total corn production increase from $$2000$$ to $$2020$$?

   • $$17500$$
   • $$70000$$
   • $$87500$$
   • $$157500$$

5. For two acute angles, $$\angle A$$ and $$\angle B$$, $$\sin(A)=\cos(B)$$. The measures, in degrees, of $$\angle A$$ and $$\angle B$$ are $$3w+15$$ and $$2w-5$$, respectively. What is the value of $$w$$?

   • $$15$$
   • $$16$$
   • $$17$$
   • $$34$$

6. A bookstore has $$5$$ sections of fiction books and $$3$$ sections of nonfiction books. Each fiction section has $$8$$ hardcover books and $$12$$ books that are not hardcover. Each nonfiction section has $$10$$ hardcover books and $$5$$ books that are not hardcover. A book from one of these sections will be selected at random. What is the probability of selecting a fiction book, given that the book is hardcover?

   • $$\frac{2}{5}$$
   • $$\frac{3}{5}$$
   • $$\frac{4}{7}$$
   • $$\frac{5}{8}$$

7. The quadratic function graphed models the height of a ball, in feet, as a function of the time $$t$$, in seconds, after it was kicked. According to the model, which of the following is closest to the time, in seconds, at which the ball reaches its greatest height?

   • $$2$$
   • $$2.5$$
   • $$3$$
   • $$3.5$$

8. The table gives the perimeters of similar hexagons $$ABCDEF$$ and $$GHIJKL$$, where side $$BC$$ corresponds to side $$HI$$. The length of side $$HI$$ is $$30$$.What is the length of side $$BC$$?

   • $$10$$
   • $$15$$
   • $$20$$
   • $$25$$

9. The graph of $$y=f(x)$$ is shown, where $$f(x)=a\cdot b^x+c$$, and $$a$$, $$b$$, and $$c$$ are constants.For how many values of $$x$$ does $$f(x)=0$$?

   • $$0$$
   • $$1$$
   • $$2$$
   • $$3$$

10. A triangle with angle measures $$30^\circ$$, $$60^\circ$$, and $$90^\circ$$ has a perimeter of $$18+6\sqrt{3}$$. What is the length of the longest side of the triangle?

    • $$6$$
    • $$10$$
    • $$12$$
    • $$15$$