Mini Exam 19 — Timed Mini Exams

Questions in this quiz (10)

1. For the values $$p$$ and $$q$$, the ratio of $$p$$ to $$q$$ is $$7$$ to $$15$$. If $$p$$ is multiplied by $$9$$, what must $$q$$ be multiplied by in order to maintain the same ratio?

   • $$\frac{15}{7}$$
   • $$\frac{9}{7}$$
   • $$\frac{135}{7}$$
   • $$\frac{7}{15}$$

2. In triangle $$MNL$$, segment $$NL$$ is extended to point $$T$$. The measure of $$\angle MNL$$ is $$118^\circ$$, and the measure of $$\angle TLM$$ is $$156^\circ$$. What is the measure of $$\angle LMN$$?

   • $$24^\circ$$
   • $$62^\circ$$
   • $$38^\circ$$
   • $$28^\circ$$

3. A right circular cone has a height of $$18$$ centimeters $$(cm)$$ and a base with a diameter of $$10$$ cm. The volume of this cone is $$n\pi$$ $$cm^{3}$$. What is the value of $$n$$?

   • $$150\pi$$
   • $$160\pi$$
   • $$180\pi$$
   • $$150$$

4. In the figure, lines $$p$$ and $$q$$ are parallel. If $$a=7m-16$$ and $$b=6m+8$$, what is the value of $$c$$?

   • $$28^\circ$$
   • $$68^\circ$$
   • $$54^\circ$$
   • $$24^\circ$$

5. Which of the following could be the equation of the graph?

   • $$y=-\frac{1}{20}(x+3)(x-1)(x-6)$$
   • $$y=-\frac{1}{20}(x+3)^2(x-1)(x-6)$$
   • $$y=\frac{1}{20}(x+3)^2(x-1)(x-6)$$
   • $$y=\frac{1}{20}(x+3)^2(x-1)^2(x-6)$$

6. The frequency distribution below summarizes a set of data, where $$a$$ is a positive integer. How much greater is the median of the set of data than the mean?

   • $$0$$
   • $$1$$
   • $$3$$
   • $$\frac{1}{9}$$

7. $$4x+9y=12$$$$16x+36y=48$$For each real number $$t$$, which of the following points lies on the graph of each equation in the $$xy$$-plane for the given system?

   • $$(t,-\frac{4t}{9}+\frac{4}{3})$$
   • $$(t,-\frac{4t}{9})$$
   • $$(t,\frac{4t}{9}+12)$$
   • $$(-t,-\frac{4t}{9}-12)$$

8. In triangle $$ABC$$, angle $$C$$ is a right angle. Point $$D$$ lies on $$AC$$, point $$E$$ lies on $$BC$$, and $$DE$$ is parallel to $$AB$$. The length of $$AB$$ is $$84$$ units, the length of $$DE$$ is $$21$$ units, and the area of triangle $$ABC$$ is $$1,260$$ square units. What is the length of $$CE$$, in units?

   • 21

9. In a fitness guide, it is estimated that a $$150$$-pound adult burns $$250$$ calories for every $$30$$ minutes of swimming and $$180$$ calories for every $$30$$ minutes of running. A $$150$$-pound adult has already completed $$45$$ minutes of running. Based on the guide, how many hours should the adult swim in order to burn a total of $$2,200$$ calories from swimming and running combined?

   • $$2.25$$
   • $$2.50$$
   • $$3.25$$
   • $$3.86$$

10. The positive number $$p$$ is $$1,732\%$$ of the sum of the positive numbers $$q$$ and $$r$$, and $$q$$ is $$67\%$$ of $$r$$. What percent of $$q$$ is $$p$$?

    • $$28.92\%$$
    • $$67\%$$
    • $$167\%$$
    • $$4314\%$$