Mini Exam 16 — Timed Mini Exams

Questions in this quiz (10)

1. The value of a collectible comic book increased by 167% from the end of 2011 to the end of 2012 and then decreased by 16% from the end of 2012 to the end of 2013. What was the net percentage increase in the value of the collectible comic book from the end of 2011 to the end of 2013?

   • $$124.28\%$$
   • $$140.28\%$$
   • $$151.00\%$$
   • $$209.72\%$$

2. If $$3x^2-18x-15=0$$, what is the value of $$x^2-6x$$?

   • 5

3. For the linear function $$j$$, $$j(x)=mx+144$$, where $$m$$ is a constant and $$j(12)=18$$. What is the value of $$j(10)$$?

   • 39

4. A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

   • $$8\sqrt6$$
   • $$4\sqrt{74}$$
   • $$48$$
   • $$1,184$$

5. The equation $$q-29r=s$$ relates the positive numbers $$q$$, $$r$$, and $$s$$. Which equation correctly expresses $$q$$ in terms of $$r$$ and $$s$$?

   • $$q=s-29r$$
   • $$q=s+29r$$
   • $$q=29rs$$
   • $$q=-\frac{s}{29r}$$

6. In the given scatterplot, a line of best fit for the data is shown. Which of the following is closest to the slope of this line of best fit?

   • $$7$$
   • $$0.7$$
   • $$-0.7$$
   • $$-7$$

7. The function $$f(x)=200,\!000(1.21)^x$$ gives a company's predicted annual revenue, in dollars, $$x$$ years after the company started selling light bulbs online, where $$0$$ < $$x\le10.$$ What is the best interpretation of the statement $$f(5)\approx518,\!748$$ in this context?

   • 5 years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748 dollars.
   • 5 years after the company started selling light bulbs online, its predicted annual revenue will have increased by a total of approximately 518,748 dollars.
   • When the company's predicted annual revenue is approximately 518,748 dollars, it is 5 times the predicted annual revenue for the previous year.
   • When the company's predicted annual revenue is approximately 518,748 dollars, it is 5% greater than the predicted annual revenue for the previous year.

8. The function $$f$$ is defined by $$f(x)=6+\sqrt{x}$$. What is the value of $$f(36)$$?

   • 12

9. In the figure shown, line $$r$$ intersects parallel lines $$s$$ and $$t$$. What is the value of $$x$$?

   • $$40$$
   • $$80$$
   • $$100$$
   • $$140$$

10. The function $$f$$ is defined by $$f(x)=(1.48)^{\frac{x}{4}}$$. The equation can be rewritten as $$f(x)=\left(1+\frac{p}{100}\right)^x$$, where $$p$$ is a constant. Which of the following is closest to the value of $$p$$?

    • $$3$$
    • $$10$$
    • $$24$$
    • $$48$$