Mini Exam 62 — Timed Mini Exams

Questions in this quiz (10)

1. A delivery guy was ordered to deliver a pizza from a restaurant to a customer and then drive back to the restaurant for the second order. He delivered a pizza traveling at an average speed of $$30$$ miles per hour. On the way back, he got stuck in traffic, which reduced his average speed by $$12\%$$. What was the delivery guy's average speed, in miles per hour, during the round trip?

   • $$26.4$$
   • $$27$$
   • $$28.1$$
   • $$28.2$$

2. Let $$f(x)=|65-3x|$$. If $$f(k)=2k$$, which of the following is the smaller solution for $$k$$?

   • $$13$$
   • $$26$$
   • $$39$$
   • $$65$$

3. The table shows the projected price of a certain computer brand.Which equation best describes the linear relationship shown in the table between $$p$$, projected price, and $$y$$, number of years since 2017?

   • $$p=2000+200y$$
   • $$p=2000-200y$$
   • $$p=1200+200y$$
   • $$p=1600+200y$$

4. A Movie-Will-I-Watch company offers two different annual subscription plans. Plan A costs $$\$6$$ for each movie watched. Plan B costs $$\$90$$ for up to $$5$$ movies and $$\$2$$ for each additional movie watched. If the two plans cost the same for a year in which $$m$$ movies are watched, what is the value of $$m$$?

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

5. At a certain toy store, stuffed dogs cost $$\$5.50$$ and stuffed cats cost $$\$7$$. If the store sold $$19$$ stuffed dogs and cats and made $$\$115$$ in revenue in one day, how many stuffed dogs and cats were sold?

   • $$11$$ stuffed dogs and $$8$$ stuffed cats
   • $$8$$ stuffed dogs and $$7$$ stuffed cats
   • $$12$$ stuffed dogs and $$7$$ stuffed cats
   • $$18$$ stuffed dogs and $$1$$ stuffed cat

6. A man is purchasing boxes of stuffed pandas to sell at his store. A box of giant stuffed pandas costs $$\$99$$, while a box of small stuffed pandas costs $$\$69$$. Let $$G$$ be the number of boxes with giant stuffed pandas and $$S$$ be the number of boxes with small stuffed pandas. His car can carry $$20$$ boxes, and he currently has $$\$500$$ to spend on boxes. Which system of inequalities represents the limitations on the number of boxes he can purchase and carry?

   • $$99G+69S\le500$$$$G+S\le20$$
   • $$\frac{G}{99}+\frac{S}{69}\le500$$$$G+S\le20$$
   • $$99G+69S\le20$$$$G+S\le500$$
   • $$69G+69S\le20$$$$G+S\le30000$$

7. In which of the following equivalent forms of the equation does the minimum value of $$y=f(x)$$ appear as a term?

   • $$y=2(x+1)(x+4)$$
   • $$y=2x(x+5)+8$$
   • $$y=2\left(x+\frac52\right)^2-\frac92$$
   • $$\left(x+\frac52\right)^2=\frac y2+\frac94$$

8. Line $$p$$ is the reflection of line $$q$$ across the $$y$$-axis, and they intersect at $$(m,n)$$. Which of the following must be true?

   • $$m\ne0$$
   • $$m=0$$
   • $$m$$ < $$0$$
   • $$m$$ > $$0$$

9. A random sample of $$18$$ households of City A and City B were asked about the number of vehicles they have. The results are displayed in the bar chart. Which of the following is closest to the average number of vehicles that all of the respondents have?

   • $$1.9$$
   • $$2.1$$
   • $$2.3$$
   • $$3.5$$

10. A regular octagon is inscribed in a circle with circumference $$20\pi$$. Point $$O$$ is the center of the circle. If the area of major sector $$GOB$$ is written as $$a\pi$$, what is the value of $$a$$?

    • $$50.25$$
    • $$62.5$$
    • $$70.25$$
    • $$72.5$$