Mini Exam 58 — Timed Mini Exams

Questions in this quiz (10)

1. Line $$l$$ in the $$xy$$-plane contains points from Quadrants II and IV, but no points from Quadrants I and III. Which of the following must be true?

   • The slope of the line is positive
   • The slope of the line is negative
   • The slope of the line is zero
   • The slope of the line is undefined

2. The equation $$U=3200+km$$ models the number of users $$U$$ of a social mobile app $$m$$ months after January 1, 2012. On January 1, 2012, there were $$3200$$ users. On January 1, 2016, there were $$42000$$ users. Which value is closest to $$k$$?

   • $$9700$$
   • $$250$$
   • $$808$$
   • $$3233$$

3. The parking rates near a certain building are $$\$3$$ for a car and $$\$4.50$$ for a truck. During one night, a total of $$92$$ vehicles parked in the parking lots, and the total amount of money collected was $$\$312$$. Which system of equations yields the number of cars, $$c$$, and trucks, $$t$$?

   • $$c+t=312$$$$3c+4.5t=92$$
   • $$c+t=92$$$$4.5c+3t=312$$
   • $$c+t=92$$$$3c+4.5t=312$$
   • $$c+t=92$$$$450c+300t=312$$

4. Dave set a goal to jog and ride a bike for a total of no more than $$2$$ hours while covering at least $$7$$ miles each Sunday. He jogs at $$4$$ miles per hour and rides a bike at $$9$$ miles per hour. If Dave jogs $$j$$ miles and rides $$r$$ miles, which system represents Dave's goal?

   • $$\frac j4+\frac r9\le2$$$$j+r\ge7$$
   • $$\frac j4+\frac r9\ge2$$$$j+r$$ < $$7$$
   • $$4j+9r$$ > $$7$$$$j+r$$ < $$2$$
   • $$4j+9r$$ < $$2$$$$j+r\ge7$$

5. Given $$f(x)=x^2+2(x-4)$$, which equivalent form displays the zeros of the function as constants or coefficients?

   • $$f(x)=x^2+2x-8$$
   • $$f(x)=(x+1)^2-9$$
   • $$f(x)=(x-4)(x+2)$$
   • $$f(x)=(x-2)(x+4)$$

6. The graph of $$y=f(x+8)$$ is shown. What is the value of $$x$$ for which $$f(x)=-4$$?

   • $$4$$
   • $$-4$$
   • $$2$$
   • $$3$$

7. $$50,000$$ people were surveyed about their favorite sport. The table shows that $$24,614$$ surveyed people were female and $$29.1\%$$ of females chose tennis. To the nearest tenth of a percent, what percent of the total surveyed people were females who chose tennis?

   • $$3.4\%$$
   • $$14.3\%$$
   • $$29.1\%$$
   • $$59.11\%$$

8. A teacher decided to increase all students' exam results by $$2$$ as compensation for a misprint. Which statistic will NOT change after the scores are increased?

   • Mean
   • Median
   • Maximum
   • Standard deviation

9. In the figure, $$\overline{DE}$$ is parallel to $$\overline{AB}$$. If $$CE=21$$ and $$\tan(\angle ABC)=1.5$$, what is the length of $$\overline{ED}$$?

   • 14

10. The function $$f$$ is a quadratic function. In the $$xy$$-plane, the graph of $$y=f(x)$$ has a vertex at $$(2,4)$$ and passes through the points $$(4,16)$$ and $$(0,20)$$. What is the value of $$f(-1)-f(3)$$?

    • 24