Full Practice Exam 27 — Module 1

Questions in this quiz (22)

1. What is an equivalent form of $$(1.2a-0.9b)-(2.5a+0.4b)?$$

   • $$-1.3a-1.3b$$
   • $$3.7a-0.5b$$
   • $$-1.3a+1.3b$$
   • $$1.3a-1.3b$$

2. If $$18x+14=50,$$ what is the value of $$9x-4?$$

   • 14

3. The volume of a cone, $$V$$, is given by $$V=\frac13\pi r^2h,$$ where $$r$$ is the radius and $$h$$ is the height. What is $$h$$ in terms of the other variables?

   • $$h=\frac{V}{3\pi r^2}$$
   • $$h=\frac{\pi r^2}{3V}$$
   • $$h=\frac{3V}{\pi r^2}$$
   • $$h=\frac{3\pi V}{r^2}$$

4. Which expression is equivalent to $$(5x^2-4x+3)-(3x^2+7x-5)?$$

   • $$8x^2+3x-2$$
   • $$2x^2-11x+8$$
   • $$2x^2+3x+8$$
   • $$8x^2-11x+8$$

5. What positive value of $$x$$ makes the equation $$(x-1)^3=64$$ true?

   • 5

6. A school surveyed $$240$$ students about whether they participate in sports and/or music.Given that a student participates in music, what is the probability that the student also participates in sports?

   • $$\frac15$$
   • $$\frac25$$
   • $$\frac35$$
   • $$\frac{11}{20}$$

7. The equation of a line is $$y=4x-7.$$ What is the $$x$$-coordinate of the $$x$$-intercept?

   • $$\frac47$$
   • $$-7$$
   • $$7$$
   • $$\frac74$$

8. The temperature, $$T$$, in degrees Fahrenheit is modeled by $$T(d)=3d+58,$$ where $$d$$ is the number of days after the beginning of a study. What does the number $$58$$ represent?

   • The number of days since the study began
   • The temperature at the beginning of the study
   • The number of degrees the temperature increases each day
   • The total increase after one week

9. If $$6=\frac54(3x-2y)$$ and $$y=\frac13x,$$ what is the value of $$y$$?

   • $$\frac{24}{35}$$
   • $$\frac{13}{54}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{18}$$

10. Which of the following are $$x$$-intercepts of the graph of $$y=(x+6)(x-2)(x-1)?$$I. $$(-6,0)$$II. $$(2,0)$$III. $$(1,0)$$

    • I only
    • I and II only
    • II and III only
    • I, II, and III

11. The growth of a population of bacteria is modeled by $$P(t)=800\cdot3^t,$$ where $$t$$ is measured in hours. After how many hours will the population be $$27$$ times its initial population?

    • $$2$$
    • $$3$$
    • $$4$$
    • $$9$$

12. The table below summarizes the sums obtained by rolling two fair number cubes.What fraction of all outcomes have a sum greater than $$8$$?

    • $$\frac16$$
    • $$\frac5{18}$$
    • $$\frac13$$
    • $$\frac7{18}$$

13. A metropolitan area has a population of $$31,000,000$$, which represents $$22\%$$ of the country's total population. Which estimate is closest to the country's total population?

    • $$120,000,000$$
    • $$141,000,000$$
    • $$155,000,000$$
    • $$170,000,000$$

14. For the function $$f(x)=(x-4)(x+3),$$ what is the value of $$f(-2)?$$

    • -6

15. The solution set to $$y$$ > $$x+2$$ and $$y$$ < $$-3x+6$$ lies in which quadrant(s)?

    • Quadrant I only
    • Quadrants I and II only
    • Quadrants II and III only
    • Quadrants I, II, and III only

16. A laptop costs $$\$3,600$$ and depreciates by the same amount each year. After $$8$$ years, the laptop is worth $$\$1,200$$. What is the annual amount of depreciation?

    • $$200$$
    • $$250$$
    • $$300$$
    • $$400$$

17. In the figure, lines $$\overleftrightarrow{AEB}$$, $$\overrightarrow{CE}$$, and $$\overrightarrow{DE}$$ all intersect at point $$E$$ and have angle measures as indicated. What is the measure of angle $$\angle CED$$?

    • $$20^\circ$$
    • $$30^\circ$$
    • $$45^\circ$$
    • $$60^\circ$$

18. A circle in the $$xy$$-plane has center $$(-2,5)$$ and passes through the origin. Which equation represents the circle?

    • $$(x+2)^2+(y-5)^2=29$$
    • $$(x-2)^2+(y+5)^2=29$$
    • $$x^2+y^2=29$$
    • $$(x+2)^2+(y-5)^2=25$$

19. A person walks an average of $$85$$ steps per minute while exercising. If the person exercises for $$1.5$$ hours each day, how many steps will the person take?

    • $$5,100$$
    • $$7,650$$
    • $$9,180$$
    • $$12,240$$

20. Voter turnout rates for different U.S. presidential elections are shown in a graph. The years shown are $$1992,1996,2000,2004,2008,2012,$$ and $$2016$$. During what year was voter turnout the highest?

    • $$1996$$
    • $$2004$$
    • $$2008$$
    • $$2016$$

21. Maria's monthly budget is shown below.Maria cuts her entertainment budget by $$40\%$$ and adds that amount to savings. By what percentage will her savings increase?

    • $$20\%$$
    • $$25\%$$
    • $$30\%$$
    • $$35\%$$

22. Based on the graph of the line shown, what is its slope?

    • $$\frac23$$
    • $$1$$
    • $$\frac32$$
    • $$\frac43$$