Mini Exam 59 — Timed Mini Exams

Questions in this quiz (10)

1. Suppose $$\sqrt[4]{p^2}=\sqrt{t}$$ and $$t=p^{3n-2},$$ for constants $$p$$ > $$1$$ and $$t$$ > $$1$$. What is the value of $$n$$?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

2. Line $$a$$ has equation $$x=3$$. Line $$b$$ is parallel to line $$a$$. Which of the following may be the equation of line $$b$$?

   • $$x=2$$
   • $$y=3$$
   • $$y=3x+5$$
   • $$y=5x+3$$

3. James uses the equation $$3y-x=9$$ to determine the total amount of water, $$y$$, in gallons, that he should have for $$x$$ elephants to live in his garden. Based on the equation, which of the following must be true? I. One additional elephant will need $$3$$ additional gallons of water. II. Each additional elephant will need one-third of a gallon of water. III. One additional gallon of water is enough for three additional elephants.

   • I and III
   • II and III
   • II only
   • I and II

4. Robert and Sophia both have after-school jobs. Last month, Robert worked $$35$$ hours, Sophia worked $$40$$ hours, and they earned a total of $$\$1020$$. This month, Robert worked $$40$$ hours, Sophia worked $$35$$ hours, and they earned a total of $$\$1005$$. What is Sophia's hourly wage?

   • 15

5. The number of capacitors $$N(c)$$ needed to make $$c$$ circuits is modeled by $$N(c)=-\frac14c^2+3c-5.$$ At what number of circuits is the maximum number of capacitors obtained?

   • $$10$$
   • $$12$$
   • $$6$$
   • $$4$$

6. If $$f(x-5)=x^2-3x+6,$$ then what is the value of $$f(x)$$?

   • $$x^2+7x+16$$
   • $$x^2-3x+6$$
   • $$x^2-3x$$
   • $$x^2-13x+46$$

7. A bank is offering a $$\$1000$$ certificate of deposit at an interest rate of $$4\%$$ per year, compounded quarterly. Which function gives the total amount, $$T$$, in dollars, a customer will receive after $$t$$ years?

   • $$T=1000(1+0.16^t)$$
   • $$T=1000(1.01)^{4t}$$
   • $$T=1000(1.04)^t$$
   • $$T=1000(1.01)^t$$

8. The table represents the results of a test taken by a group of students.Which of the following sets of test results, when added, would decrease the standard deviation of the distribution the most?

   • $$10,10,10$$
   • $$7,8,9$$
   • $$8,8,8$$
   • $$6,6,6$$

9. A bar graph shows the number of male and female students accepted to private schools $$A$$, $$B$$, $$C$$, and $$D$$. If a scatterplot is made such that the number of male students is plotted along the $$x$$-axis and the number of female students is plotted along the $$y$$-axis, how many data points would be above the line $$y=x$$?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

10. Two groups of people were surveyed from the same population about what they think of a new law proposed by the government. Which is the most appropriate reason that the margin of error of sample A is greater than the margin of error of sample B?

    • Sample B had a larger sample size.
    • Sample B had a smaller sample size.
    • Sample B had more young respondents.
    • Sample B had more government officials.