Mini Exam 3 — Timed Mini Exams

Questions in this quiz (10)

1. A proposal for a new library was included on an election ballot. A radio show stated that $$3$$ times as many people voted in favor of the proposal as people who voted against it. A social media post reported that $$15,000$$ more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

   • $$7,500$$
   • $$15,000$$
   • $$22,500$$
   • $$45,000$$

2. The graph of $$y=f(x)+14$$ is shown. Which equation defines function $$f$$?

   • $$f(x)=-\frac14x-12$$
   • $$f(x)=-\frac14x+16$$
   • $$f(x)=-\frac14x+2$$
   • $$f(x)=-\frac14x-14$$

3. Scientists collected fallen acorns that each housed a colony of the ant species $$P. ohioensis$$. For any of these colonies, if the colony has $$x$$ worker ants, the equation $$y=0.67x+2.6$$ gives the predicted number of larvae, $$y$$, in the colony. If one of these colonies has $$58$$ worker ants, which of the following is closest to the predicted number of larvae in the colony?

   • $$41$$
   • $$61$$
   • $$83$$
   • $$190$$

4. Ty set a goal to walk at least $$24$$ kilometers every day. On a certain day, Ty plans to walk at an average speed of $$4$$ kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

   • $$4$$
   • $$6$$
   • $$20$$
   • $$24$$

5. For the linear function $$f$$, the table shows three values of $$x$$ and their corresponding values of $$f(x)$$. Which equation defines $$f(x)$$?

   • $$f(x)=3x+29$$
   • $$f(x)=29x+32$$
   • $$f(x)=35x+29$$
   • $$f(x)=32x+35$$

6. Last week, an interior designer earned a total of $$\$1,258$$ from consulting for $$x$$ hours and drawing up plans for $$y$$ hours. The equation $$68x+85y=1,258$$ represents this situation. Which of the following is the best interpretation of $$68$$ in this context?

   • The interior designer earned $$\$68$$ per hour consulting last week.
   • The interior designer worked $$68$$ hours drawing up plans last week.
   • The interior designer earned $$\$68$$ per hour drawing up plans last week.
   • The interior designer worked $$68$$ hours consulting last week.

7. $$x+3=-2y+5$$ $$x-3=2y+7$$The solution to the system of equations is $$(x,y)$$. What is the value of $$2x$$?

   • $$-2$$
   • $$6$$
   • $$12$$
   • $$24$$

8. The function $$f$$ is defined by $$f(x)=\frac{1}{10}x-2$$. What is the $$y$$-intercept of the graph of $$y=f(x)$$ in the $$xy$$-plane?

   • $$(-2,0)$$
   • $$(0,-2)$$
   • $$\left(0,\frac1{10}\right)$$
   • $$\left(\frac1{10},0\right)$$

9. Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature $$y$$, in kelvins, of the oxygen gas when its pressure is $$x$$ atmospheres. What is the estimated temperature, in kelvins, of the oxygen gas when its pressure is $$6$$ atmospheres?

   • $$6$$
   • $$60$$
   • $$700$$
   • $$760$$

10. Davio bought some potatoes and celery. The potatoes cost $$\$0.69$$ per pound, and the celery cost $$\$0.99$$ per pound. If Davio spent $$\$5.34$$ in total and bought twice as many pounds of celery as pounds of potatoes, how many pounds of celery did Davio buy?

    • $$2$$
    • $$2.5$$
    • $$2.67$$
    • $$4$$