Full Practice Exam 7 — Module 2

Questions in this quiz (22)

1. Which of the following expressions is equivalent to $$(np^{-2}q^3)(n^5p^3q^2),$$ where $$n$$, $$p$$, and $$q$$ are positive?

   • $$n^3p^{-4}q^8$$
   • $$n^4p^{-2}q^{10}$$
   • $$n^5p^{-6}q^6$$
   • $$n^6pq^5$$

2. What is the positive solution to the equation $$4|x-1|=24?$$

   • 7

3. Line $$p$$ and line $$q$$ are graphed in the $$xy$$-plane. The equation of line $$p$$ is $$y=-3x-2,$$ and line $$q$$ is perpendicular to line $$p$$. What is the slope of line $$q$$?

   • $$\frac23$$
   • $$\frac32$$
   • $$\frac13$$
   • $$\frac{-2}{3}$$

4. Which of the following is a solution to the inequality $$\frac74(x+8)$$ < $$56?$$

   • $$20$$
   • $$24$$
   • $$32$$
   • $$40$$

5. A dot plot represents data set $$A$$. The least value in data set $$A$$ is 5, and the greatest value is 11. Data set $$B$$ is created by adding a new data value of 3 to data set $$A$$. Which statement correctly compares the ranges of data sets $$A$$ and $$B$$?

   • The range of data set A is equal to the range of data set B.
   • The range of data set A is less than the range of data set B.
   • The range of data set A is greater than the range of data set B.
   • There is not enough information to compare the ranges of the two data sets.

6. A video game company asked a focus group of 75 people to rate a new video game on a scale of one star to four stars. The results are shown below.If one member of the focus group is selected at random, what is the probability that the person did not give the game a three-star rating?

   • $$\frac7{75}$$
   • $$\frac{31}{75}$$
   • $$\frac{44}{75}$$
   • $$\frac{61}{75}$$

7. A distance runner preparing for a meet runs at a rate of 1 mile every 7 minutes. What is the runner's pace in kilometers per hour?$$(1\text{ mile}\approx1.61\text{ kilometers})$$

   • $$0.19$$
   • $$5.32$$
   • $$11.27$$
   • $$13.80$$

8. A company rents out a vacation home for periods ranging from 7 days to 21 days. The company charges $$\$165$$ per day plus a booking fee of $$\$100$$. Which function best represents the total cost, $$C$$, to rent the vacation home for $$d$$ days, where $$7\le d\le21$$?

   • $$C(d)=100d+165$$
   • $$C(d)=165d+100$$
   • $$C(d)=165(d+100)$$
   • $$C(d)=265d$$

9. The table shows five values of $$x$$ and their corresponding values of $$f(x)$$ for linear function $$f$$.Which equation defines $$f(x)$$?

   • $$f(x)=-4x+2$$
   • $$f(x)=-3x+1$$
   • $$f(x)=-2x+2$$
   • $$f(x)=4x-2$$

10. Which of the following is a solution to the equation $$x^2-11x+28=0?$$

    • $$-11$$
    • $$0$$
    • $$4$$
    • $$28$$

11. $$y=-x^2+2x+1$$$$y-4=-2$$The system of equations has one solution at $$(x,y)$$. What is the value of $$x$$?

    • 1

12. Two rectangular prisms have equal volumes. The first prism has dimensions 3, 5, and 4. The second prism has dimensions $$h$$, 10, and 6. What is the value of $$h$$?

    • $$1$$
    • $$2$$
    • $$5$$
    • $$8$$

13. Playing golf costs a one-time $$\$50.25$$ deposit and an additional $$\$25.75$$ per game. How many full games can be played for $$\$1,500$$?

    • 56

14. Rachel invested $$\$100$$ at a bank that gives simple interest of $$3\%$$ per year. She invested another $$\$100$$ at a credit union that gives simple interest of $$5\%$$ per year. After one year, what is the ratio of her balance at the bank to her balance at the credit union, rounded to the nearest hundredth?

    • $$0.60$$
    • $$0.66$$
    • $$0.89$$
    • $$0.98$$

15. A small zoo has lions, tigers, and cheetahs only. The ratio of lions to tigers is $$1:2$$, and the ratio of tigers to cheetahs is $$3:7$$. What percentage of the zoo population is made of lions?

    • $$12.04\%$$
    • $$13.04\%$$
    • $$15.38\%$$
    • $$20\%$$

16. A bar graph shows car sales at a dealership.How much more or less is the percentage increase from 2013 to 2014 than the percentage increase from 2010 to 2011?

    • $$12.67\%$$
    • $$14.67\%$$
    • $$16.67\%$$
    • $$33.33\%$$

17. The results of a census in the city of Ventura are shown below. A random sample of people ages 26–50 indicates that $$35\%$$ of them have a bachelor's degree. Based on this result, which conclusion can be inferred?

    • 35% of Asian American people in Ventura have a bachelor's degree.
    • 35% of African American people in Ventura have a bachelor's degree.
    • 35% of White people in Ventura have a bachelor's degree.
    • About 1,738 people in the 26–50 age group have a bachelor's degree.

18. A zookeeper recorded the grasshopper population shown below. Using the table, what is the best estimate of the number of grasshoppers in 2013?

    • $$700$$
    • $$750$$
    • $$800$$
    • $$900$$

19. If $$\frac{9x^2}{3x+1}=\frac1{3x+1}+A,$$ what is $$A$$ in terms of $$x$$?

    • $$2x+1$$
    • $$3x+1$$
    • $$2x-1$$
    • $$3x-1$$

20. A stone is thrown from the ground along a parabolic path defined by $$y=-x^2+4x.$$ The stone hits the top of a vertical pole that is 4 feet tall at the vertex of its path. How far is the pole from the point where the stone was thrown?

    • $$1$$
    • $$2$$
    • $$4$$
    • $$16$$

21. A graph shows two parabolas and one line. At which point do all three functions intersect?

    • $$(-2,4.5)$$
    • $$(1.5,2.1)$$
    • $$(4,0.9)$$
    • $$(0,0)$$

22. If $$f(x)=1+\frac1x$$ and $$g(x)=1-\frac1x,$$ what is $$(fg)(2)$$?

    • $$\frac14$$
    • $$\frac12$$
    • $$\frac35$$
    • $$\frac34$$