Full Practice Exam 25 — Module 1

Questions in this quiz (22)

1. $$f(x)=2x+1$$$$g(x)=4x-4$$Given the functions $$f$$ and $$g$$ below, what is $$f(0)\times g(0)$$?

   • $$-5$$
   • $$-4$$
   • $$0$$
   • $$4$$

2. The ratio of novels written by James Joyce to novels written by Virginia Woolf is $$1:3$$. The ratio of novels written by Virginia Woolf to novels written by Ernest Hemingway is $$1:2$$. If Ernest Hemingway wrote $$18$$ novels, how many novels did James Joyce write?

   • $$12$$
   • $$9$$
   • $$6$$
   • $$3$$

3. A random sample of $$100$$ people from the city of Omaha are surveyed about the number of books they read each month. If $$25$$ of these people say they read $$3$$ or more books per month, and Omaha has a population of $$420,000$$, how many people in Omaha read $$3$$ or more books per month?

   • $$84,000$$
   • $$105,000$$
   • $$189,000$$
   • $$218,000$$

4. A printer can print at a rate of $$5$$ pages per minute. How many hours will it take to print $$300$$ pages?

   • $$0.5$$
   • $$1$$
   • $$1.5$$
   • $$3$$

5. A bird collects pieces of string in order to build a nest. If it starts with $$2$$ pieces of string and collects $$3$$ additional pieces of string each day, which of the following is a possible number of pieces of string that the bird could have at the end of a day?

   • $$12$$
   • $$13$$
   • $$14$$
   • $$15$$

6. A group of scientists is studying the effects of green tea tannin on electrolyte loss in rats. The table shows results for volume of urine and concentrations of electrolytes lost by the rats.If the volume of urine produced by a rat decreases linearly for each increase in dosage of green tea tannin, how much urine per day, in milliliters, will be produced by a rat that is administered $$11$$ milligrams of green tea tannin per kilogram of the rat’s weight?

   • $$21.5$$
   • $$23$$
   • $$24.5$$
   • $$26$$

7. A group of scientists is studying the effects of green tea tannin on electrolyte loss in rats. The table shows results for volume of urine and concentrations of electrolytes lost by the rats.If the amount of sodium and the amount of potassium excreted by the rats increases linearly for each increase in dosage of green tea tannin, what dosage of tannin, in milligrams, will make the concentration of sodium in a rat’s urine equal to the concentration of potassium?

   • $$24$$
   • $$22$$
   • $$13$$
   • $$11$$

8. Logan bought $$36$$ pieces of bubble gum, which was $$40\%$$ of the store’s stock. How many pieces of bubble gum are still in the store?

   • $$54$$
   • $$72$$
   • $$80$$
   • $$90$$

9. The Department of Transportation surveyed $$1,500$$ people selected at random from New York City and asked them, "Do you think the streets are safe for pedestrians?" Based on the results in the table, which of the following statements are likely to be true?I. Of all the people surveyed, approximately $$39\%$$ think the streets are safe for pedestrians.II. Of all the people in New York City, a greater proportion prefer to walk than bike.III. Of all people who prefer driving in the U.S., $$70\%$$ think the streets are safe for pedestrians.

   • None
   • II only
   • I and II only
   • I, II, and III

10. If the linear function $$f$$ passes through the point $$(-6,-13)$$ in the $$xy$$-plane, and $$f(2)=3$$, what is the $$y$$-intercept of $$f$$?

    • $$-1$$
    • $$0$$
    • $$1$$
    • $$2$$

11. Several cross-sectional slices of an unknown carnivore’s tooth were made to better measure the size of its incisors. What is the perimeter of this slice of tooth, in terms of $$x$$?

    • $$5x+3\pi x$$
    • $$5x+6\pi x$$
    • $$10x+3\pi x$$
    • $$10x+6\pi x$$

12. If a sector of a circle with a central angle of $$60^\circ$$ has an area of $$24\pi$$, what is the radius of the circle?

    • 12

13. The table shows the number of hours spent exercising per week by students in Class A and Class B.Which statement best describes the relationship between the median and mean of the hours of weekly exercise between the two classes?

    • Class A has a higher median than Class B, and Class B has a higher mean than Class A.
    • Class B has a higher median than Class A, and Class B has a higher mean than Class A.
    • Class A and Class B have the same median, and Class B has a lower mean than Class A.
    • Class A and Class B have the same median, and Class A has a lower mean than Class B.

14. The graph shows Rebecca’s running speeds during a $$2$$-hour run. What is the total distance, in miles, that Rebecca ran during the first hour of her run?

    • 6.5

15. $$A+B=3$$$$A+C=x$$$$C+D=12$$$$B+D=4x$$Given the set of equations below, what is the value of $$x$$?

    • 3

16. $$\frac{5}{x^2+6x+8}=\frac{A}{x+2}+\frac{B}{x+4}$$In the equation below, what is the value of $$A+B$$ if $$A=2.5$$?

    • 0

17. Every year, the population of Dwarf Lop rabbits doubles in a certain country. If there were $$50$$ Dwarf Lop rabbits at the start of $$2017$$, how many Dwarf Lop rabbits will there be at the start of $$2021$$?

    • $$200$$
    • $$400$$
    • $$800$$
    • $$1600$$

18. Which system of inequalities represents the graph shown?

    • $$y\ge-0.4x+4$$ $$y$$ > $$2x+3$$
    • $$y\le0.4x+4$$ $$y$$ < $$2x+3$$
    • $$y\ge-0.4x+4$$ $$y$$ < $$2x+3$$
    • $$y\le0.4x+4$$ $$y$$ > $$2x+3$$

19. Triangle $$ABC$$ is shown. If $$AB=36$$ cm and $$AC=27$$ cm, what is the value of $$BD$$?

    • $$28.80$$
    • $$21.60$$
    • $$19.29$$
    • $$25.71$$

20. The function $$p(x)=60,040(1.012)^x$$ models the population of city $$Y$$ from the year $$2004$$ to the year $$2016$$. Which of the following statements best represents $$(1.012)^x$$?

    • The population of city $$Y$$ increases by $$12\%$$ every year from $$2004$$ to $$2016$$.
    • The population of city $$Y$$ increases by $$1.2\%$$ every year from $$2004$$ to $$2016$$.
    • The population of city $$Y$$ decreases by $$12\%$$ every year from $$2004$$ to $$2016$$.
    • The population of city $$Y$$ decreases by $$1.2\%$$ every year from $$2004$$ to $$2016$$.

21. Which of the following statements best describes the translation between $$f(x)=2(x+5)^2$$ and $$g(x)=2x^2+4x+6$$?

    • The graph of $$f(x)$$ is translated $$4$$ units to the right and $$4$$ units up.
    • The graph of $$f(x)$$ is translated $$1$$ unit to the right and $$6$$ units up.
    • The graph of $$f(x)$$ is translated $$4$$ units to the right and $$6$$ units up.
    • The graph of $$f(x)$$ is translated $$4$$ units to the left and $$4$$ units up.

22. A mattress and bed shop tabulates the number of orders it receives in a particular week. What is the probability that a customer buys a mattress given that they do not buy a bed?

    • $$\frac{11}{20}$$
    • $$\frac{22}{115}$$
    • $$\frac{40}{115}$$
    • $$\frac{11}{26}$$