Full Practice Exam 25 — Module 2

Questions in this quiz (22)

1. If $$x=8$$, what is the value of $$4(x-1)-3x?$$

   • $$1$$
   • $$4$$
   • $$7$$
   • $$11$$

2. $$-4(x^2+3x-5)$$ is equivalent to which of the following expressions?

   • $$-4x^2-12x+20$$
   • $$-4x^2+12x-20$$
   • $$-4x^2-12x-20$$
   • $$4x^2-12x+20$$

3. The table below shows the percentage of students receiving each letter grade in a class.What letter grade represents the median grade for the class?

   • A
   • B
   • C
   • D

4. What is the product of the solutions to the equation $$0=\left(x-\frac{2}{5}\right)\left(x+\frac{3}{4}\right)?$$

   • $$-\frac{3}{10}$$
   • $$-\frac{3}{20}$$
   • $$\frac{3}{20}$$
   • $$\frac{3}{10}$$

5. At a university, $$32\%$$ of all students major in engineering or computer science. If there are $$7,500$$ students at the university, how many students major in engineering or computer science?

   • $$2,400$$
   • $$3,200$$
   • $$4,800$$
   • $$24,000$$

6. Emma sleeps $$7.5$$ hours per day. Which expression gives the number of hours Emma sleeps in $$w$$ weeks?

   • $$52.5w$$
   • $$7.5w$$
   • $$52.5+w$$
   • $$7.5+w$$

7. Which of the following equations could represent the line shown above?

   • $$y=-2x-1$$
   • $$y=-2x+1$$
   • $$y=2x-1$$
   • $$y=2x+1$$

8. If $$x^3=\frac{125}{64},$$ what is the value of $$x$$?

   • $$\frac{4}{5}$$
   • $$\frac{5}{4}$$
   • $$\frac{25}{16}$$
   • $$\frac{64}{125}$$

9. A bakery charges $$3$$ dollars for each muffin, $$m$$, and $$5$$ dollars for each croissant, $$c$$. The equation $$T=3m+5c$$ represents the total cost $$T$$. If a customer spends $$67$$ dollars and purchases $$8$$ croissants, how many muffins were purchased?

   • 9

10. The height in inches and weight in pounds for several female orangutans is graphed in the scatterplot above. Based on the data in the graph, which statement best summarizes the overall trend in the data?

    • The greater the height of the orangutan, the greater the weight.
    • The lower the height of the orangutan, the greater the weight.
    • The greater the height of the orangutan, the lower the weight.
    • The height and the weight of the orangutan are equivalent throughout the set of data.

11. A circle has an original area of $$49\pi$$ square units. The area increases by $$96\%$$. What is the radius of the new circle?

    • $$7\sqrt{2}$$
    • $$7\sqrt{1.96}$$
    • $$9.8$$
    • $$14$$

12. $$5x-3y=8$$ $$2x+y=13$$Given that $$(x,y)$$ is a solution to the system below, what is the value of $$x+y$$?

    • $$\frac{4}{3}$$
    • $$\frac{39}{11}$$
    • $$\frac{39}{8}$$
    • $$\frac{96}{11}$$

13. The population density of a city is $$6,800$$ persons per square mile, and the city covers $$215$$ square miles. Which of the following is closest to the total population?

    • $$1,460,000$$
    • $$1,240,000$$
    • $$980,000$$
    • $$680,000$$

14. If $$\frac{x^2-9}{4}=10$$ and $$x-3=5,$$ what is the value of $$x+3$$?

    • 11

15. A cylindrical water tank has a radius of $$8$$ feet and a volume of $$512\pi$$ cubic feet. What is the height of the tank, in feet?

    • $$4$$
    • $$6$$
    • $$8$$
    • $$10$$

16. If the function $$f(x)=\frac{x^2-4}{3x},$$ where $$x\ne0$$, what is the value of $$f(9)$$?

    • $$\frac{77}{27}$$
    • $$\frac{77}{9}$$
    • $$3$$
    • $$\frac{85}{27}$$

17. A television network asks viewers to visit a website and vote for their favorite contestant in a competition. Approximately $$15,000$$ viewers choose to respond. Would the results from the poll provide an accurate representation of all viewers’ opinions?

    • Yes, because the sample size is large.
    • Yes, because viewers were randomly selected.
    • No, because respondents were self-selected rather than randomly selected.
    • No, because fewer than $$20,000$$ people responded.

18. The table below shows values of $$x$$ and $$y$$.The relationship can be expressed as $$y=kx,$$ where $$k$$ is a constant. What is the value of $$k$$?

    • 4

19. In the $$xy$$-plane, which equation represents the graph of $$y=x^2+3$$ shifted downward $$7$$ units?

    • $$y=x^2-4$$
    • $$y=x^2+10$$
    • $$y=x^2-7$$
    • $$y=x^2+4$$

20. In the $$xy$$-plane, line $$m$$ has a $$y$$-intercept of $$12$$ and is perpendicular to the line represented by $$y=-\frac{2}{3}x+5.$$ If line $$m$$ passes through the point $$(6,a)$$, what is the value of $$a$$?

    • $$16$$
    • $$18$$
    • $$21$$
    • $$24$$

21. The table summarizes the results of a medical screening.If a randomly selected patient who received a positive test result is chosen, what is the probability that the result is a false positive?

    • $$0.2$$
    • $$0.3$$
    • $$0.4$$
    • $$0.6$$

22. Triangles $$ABC$$ and $$DEF$$ both have sides of length $$6$$ and $$7$$ as shown above. Which of the following would, if true, be sufficient to prove that the triangles are congruent?

    • That angle $$BAC$$ equals angle $$DEF$$
    • That angle $$CBA$$ equals angle $$EDF$$
    • That angle $$BAC$$ equals angle $$DFE$$
    • That angle $$ABC$$ equals angle $$FED$$