Mini Exam 14 — Timed Mini Exams

Questions in this quiz (10)

1. A cube has a surface area of $$150$$ square inches. What is the volume, in cubic inches, of the cube?

   • $$150$$
   • $$75$$
   • $$25$$
   • $$125$$

2. $$-x^2+kx-144=0$$In the given equation, $$k$$ is a positive integer. The equation has no real solution. What is the greatest possible value of $$k$$?

   • $$20$$
   • $$23$$
   • $$24$$
   • $$22$$

3. In a survey of student study habits, $$400$$ randomly selected students at a large high school were asked how many hours per week they spend studying outside of class. Based on the survey results, an estimate of the percent of all students at the school who study more than $$10$$ hours per week is $$35\%$$, with an associated margin of error of $$4\%$$. Which of the following is a correct statement based on the given margin of error?

   • Exactly $$35\%$$ of all students at the school study more than $$10$$ hours per week.
   • Between $$31\%$$ and $$39\%$$ of all students at the school likely study more than $$10$$ hours per week.
   • Between $$35\%$$ and $$39\%$$ of all students at the school study more than $$10$$ hours per week.
   • The margin of error means that $$4\%$$ of students gave incorrect answers.

4. A transversal line intersects a pair of parallel lines, creating eight angles. The measure of one of the acute angles is given by $$(4x+15)^\circ$$. If the sum of the measures of any four of the eight angles is $$k^\circ$$, which of the following expressions could NOT be the value of $$k$$?

   • $$210+8x$$
   • $$660-8x$$
   • $$360$$
   • $$360+8x$$

5. A survey was given to residents of all $$50$$ states asking if they exercised at least $$3$$ times per week. The results from $$7$$ of the states are given in the table below. Percent of Residents Who Exercise at Least $$3$$ Times per WeekThe median percent of residents who exercise at least $$3$$ times per week for all $$50$$ states was $$30.5\%$$. What is the difference between the median percent for these $$7$$ states and the median for all $$50$$ states?

   • $$1.1\%$$
   • $$3.4\%$$
   • $$1.6\%$$
   • $$0.6\%$$

6. A musician's total income from a song consists of a one-time signing bonus of $$b$$ dollars, plus a royalty of $$6\%$$ of the total streaming revenue of the song. The musician has a goal for the total income to be at least $$3$$ times and at most $$6$$ times the bonus. Which of the following inequalities represents all possible values of total streaming revenue, $$t$$, in dollars, for the musician to meet that goal?

   • $$\frac{100b}{3}\le t\le\frac{250b}{6}$$
   • $$\frac{100b}{6}\le t\le\frac{250b}{6}$$
   • $$\frac{50b}{3}\le t\le\frac{150b}{3}$$
   • $$\frac{100b}{3}\le t\le\frac{250b}{3}$$

7. In the $$xy$$-plane, the graph of $$y=x^2-2x+1$$ intersects line $$m$$ at $$(1,p)$$ and $$(5,q)$$, where $$p$$ and $$q$$ are constants. What is the slope of line $$m$$?

   • $$5$$
   • $$4$$
   • $$2$$
   • $$1$$

8. Let the function $$f$$ be defined as$$f(x)=\frac{(x-a)^2+81}{3a}$$where $$a$$ is a constant. If $$f(a)=9$$, what is the value of $$f(6)$$?

   • $$10$$
   • $$12$$
   • $$9$$
   • $$6$$

9. A survey asked students in two middle school clubs how many pets they have. The table below shows the frequency distribution of the responses from the $$13$$ students in Club $$A$$ and the $$15$$ students in Club $$B$$.The median number of pets for Club $$B$$ is how much greater than the median number of pets for Club $$A$$?

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

10. $$f(x)=x^3-9x$$$$g(x)=x^2+5x-14$$Which of the following expressions is equivalent to $$\frac{f(x)}{g(x)}$$ for $$x$$>$$2$$?

    • $$\frac{x(x-3)(x+3)}{(x+7)(x+2)}$$
    • $$\frac{x(x+3)}{(x+7)(x-2)}$$
    • $$\frac{x(x-3)}{(x+7)(x-2)}$$
    • $$\frac{x(x-3)(x+3)}{(x+7)(x-2)}$$