Full Practice Exam 24 — Module 2

Questions in this quiz (22)

1. In $$2005$$, a toy manufacturer found that an estimated $$4$$ out of every $$15$$ dolls produced posed a safety hazard to young children. If the manufacturer produced $$6$$ million dolls in $$2005$$, which of the following is closest to the estimated number of dolls produced by the manufacturer in $$2005$$ that do NOT pose a safety hazard?

   • $$1.6$$ million
   • $$4.4$$ million
   • $$4.6$$ million
   • $$4.8$$ million

2. The table gives the atomic mass, to the nearest amu, of $$15$$ different elements.Based on the table, what is the median atomic mass, in amu, of these elements?

   • $$14$$
   • $$15$$
   • $$16$$
   • $$18$$

3. The graph shows the number of students who enrolled in a summer math camp from $$2000$$ to $$2012$$. According to the graph, the student enrollment was the same in which of the following years?

   • $$2000$$ and $$2007$$
   • $$2001$$ and $$2004$$
   • $$2002$$ and $$2012$$
   • $$2003$$ and $$2010$$

4. Oleg is deciding between renting and buying an apartment. The purchase price is $$180,000$$ dollars. If he rents it, he will pay $$1,100$$ dollars in rent each month, in addition to monthly fees of $$150$$ dollars for utilities and parking. If $$x$$ represents the number of months he stays in the apartment, what are all the values of $$x$$ for which buying the apartment is less expensive than renting it?

   • $$x$$ < $$144$$
   • $$x$$ > $$144$$
   • $$x$$ < $$164$$
   • $$x$$ > $$164$$

5. In a circle with center $$C$$ and radius $$6$$, minor arc $$AB$$ has a length of $$4\pi$$. What is the measure, in radians, of central angle $$ACB$$?

   • $$\frac{2\pi}{9}$$
   • $$\frac{\pi}{3}$$
   • $$\frac{2\pi}{3}$$
   • $$\frac{4\pi}{3}$$

6. Functions $$f(x)=x^2-2x+1$$ and $$g(x)=x^2-10x+25$$ are graphed in the $$xy$$-plane. If the graphs of $$f$$ and $$g$$ are tangent to the $$x$$-axis and intersect at the point $$(h,k)$$, what is the value of $$h+k$$?

   • $$3$$
   • $$7$$
   • $$13$$
   • $$21$$

7. If $$x-2$$ and $$x+1$$ are both factors of the polynomial $$p(x)$$, which of the following could be $$p(x)$$?

   • $$p(x)=x^3-2x^2-5x+6$$
   • $$p(x)=x^3-4x^2+x+6$$
   • $$p(x)=x^3-6x^2+11x-6$$
   • $$p(x)=x^3-7x-6$$

8. In the $$xy$$-plane, a line with a slope of $$4$$ intersects a parabola at the origin and at the point $$(h,k)$$. If the vertex of the parabola is at $$(2,-8)$$, what is the value of $$k$$?

   • $$6$$
   • $$12$$
   • $$18$$
   • $$24$$

9. The difference between two numbers is $$30$$. One of the numbers, $$x$$, is $$20\%$$ less than the other number. What is the value of $$x$$?

   • 120

10. In the figure above, $$AB$$, $$BC$$, $$CD$$, $$DE$$, and $$EA$$ are line segments. What is the value of $$x+y$$?

    • 140

11. In the figure above, points $$A$$, $$B$$, and $$D$$ lie on the same line. If $$AB=18$$, $$BE=8$$, and $$DE=6$$, what is the value of $$\sin A$$?

    • $$\frac{\sqrt{3}}{3}$$
    • $$\frac{1}{2}$$
    • $$\frac{3}{5}$$
    • $$\frac{3}{4}$$

12. $$\sqrt{\frac{1}{2x}}-2=3$$If $$x\ne0$$, for what real value of $$x$$ is the equation below true?

    • $$\frac{1}{50}$$
    • $$\frac{1}{22}$$
    • $$\frac{2}{25}$$
    • $$\frac{1}{2}$$

13. Line $$m$$ is graphed in the $$xy$$-plane. If an equation for line $$m$$ is $$6y+2x=5$$, which of the following statements is true?

    • Line $$m$$ has a slope of $$-3$$.
    • Line $$m$$ has a slope of $$\frac{1}{3}$$.
    • The $$x$$-intercept of line $$m$$ is $$\frac{5}{2}$$ and the $$y$$-intercept is $$\frac{5}{6}$$.
    • The $$x$$-intercept of line $$m$$ is $$\frac{5}{6}$$ and the $$y$$-intercept is $$\frac{5}{2}$$.

14. Anna writes checks from her checkbook to pay her business expenses. The number of checks $$c$$ left in her checkbook after $$t$$ weeks is given by the equation $$c=120-2t$$. What is the meaning of the number $$120$$ in the equation?

    • The number of checks Anna writes each week
    • The number of weeks it takes for Anna to write all the checks in her checkbook
    • The number of checks left in Anna’s checkbook at the end of one week
    • The initial number of checks in Anna’s checkbook

15. In the figure above, $$D$$ is the midpoint of $$\overline{AB}$$ and $$E$$ is the midpoint of $$\overline{BC}$$. The area of trapezoid $$ADEC$$ is how many times the area of triangle $$DBE$$?

    • $$2$$
    • $$2.5$$
    • $$3$$
    • $$3.5$$

16. $$x+ay=5$$$$2x+6y=b$$In the system of equations below, $$a$$ and $$b$$ are constants. If the system has one solution, which of the following could be the values of $$a$$ and $$b$$?

    • $$a=3,\ b=10$$
    • $$a=3,\ b=12$$
    • $$a=3,\ b=-4$$
    • $$a=10,\ b=3$$

17. The table shows the population growth of a certain bacteria over four seconds.Which one of the following equations shows the relationship between $$t$$ and $$p$$, according to the table?

    • $$p=3t$$
    • $$p=2t^2$$
    • $$p=2\times3t$$
    • $$p=2\times3^{t-1}$$

18. For how many actual points does the line of best fit predict a greater value than the actual value?

    • 5

19. The function $$g$$ is defined by $$g(x)=\frac{|x|}{a}-14$$, where $$a$$ < $$0$$. What is the product of $$g(15a)$$ and $$g(7a)$$?

    • 609

20. Administrators at Washington High School randomly surveyed $$20$$ students about their internet use during class. The histogram represents the number of hours students spent on the internet per day. Which of the following statements is FALSE?

    • The mode of this data set is $$3$$ hours.
    • The mean of this data set is $$2.75$$ hours.
    • Exactly $$60\%$$ of the students surveyed use the internet $$3$$ or $$4$$ hours per day.
    • The median is smaller than the mean for this data set.

21. If $$3^j=27$$ and $$3^{j+k}=243$$, what is the value of $$k$$?

    • 2

22. Chairs ready for shipment at the Northern Chair factory come down a ramp in a single file. Inspector A checks every third chair, beginning with the third. Inspector B checks every fifth chair, beginning with the fifth. If $$98$$ chairs came down the ramp while both inspectors were working on Monday, how many of these chairs were not checked by either of these two inspectors?

    • 53