Part 2 — Full Practice Exam 10

Questions in this quiz (41)

1. The figure shows the worker distribution in a country. If the total population of workers is $$2.3$$ million, how many workers are employed in neither clerical nor professional occupations?

   • $$1{,}048{,}800$$ workers
   • $$990{,}000$$ workers
   • $$1{,}311{,}000$$ workers
   • $$552{,}000$$ workers

2. Elena and Rosa buy a total of $$54$$ stamps. Elena buys $$8$$ more stamps than Rosa. How many stamps does Elena buy?

   • $$23$$ stamps
   • $$27$$ stamps
   • $$35$$ stamps
   • $$31$$ stamps

3. Which value on the number line corresponds to $$P+S$$?

   • $$-8$$
   • $$2$$
   • $$-2$$
   • $$8$$

4. Which value on the number line corresponds to $$|Q-R|-T$$?

   • $$8$$
   • $$-8$$
   • $$4$$
   • $$0$$

5. Over the last $$9{,}000$$ years, a shoreline has eroded by $$7.2$$ miles. Which equation can be used to determine the distance, $$D$$, that the shoreline will erode during the next $$15{,}000$$ years if it continues eroding at the same rate?

   • $$\frac{7.2}{9{,}000}=\frac{D}{15{,}000}$$
   • $$\frac{7.2}{15{,}000}=\frac{D}{9{,}000}$$
   • $$D=7.2+\frac{15{,}000}{9{,}000}$$
   • $$D=7.2\left(\frac{9{,}000}{15{,}000}\right)$$

6. Microscope $$A$$ produces a magnification of $$4\times10^6$$, while microscope $$B$$ produces a magnification of $$8\times10^3$$. Which statement correctly compares their magnifications?

   • Microscope $$A$$ is $$50$$ times as strong as microscope $$B$$.
   • Microscope $$A$$ is $$500$$ times as strong as microscope $$B$$.
   • Microscope $$A$$ is $$5{,}000$$ times as strong as microscope $$B$$.
   • Microscope $$A$$ is $$2{,}000$$ times as strong as microscope $$B$$.

7. A landscaping worker can mow $$\frac{3}{5}$$ of a lawn in $$1.5$$ hours. At the same rate, how many hours will it take the worker to mow the entire lawn?

   • $$1.9$$ hours
   • $$2.25$$ hours
   • $$3.5$$ hours
   • $$2.5$$ hours

8. The dimensions of a rectangular box are shown. A designer wants to paint the four larger sides, leaving the two smallest sides unpainted. What is the total surface area of the four painted sides?

   • $$175$$ square meters
   • $$225$$ square meters
   • $$190$$ square meters
   • $$280$$ square meters

9. Evaluate $$2x(x-3a)-x$$ when $$x=-3$$ and $$a=1$$.

   • 39

10. The figure shows an isosceles triangle with a base of $$16$$ units. Which pair gives a possible value of $$x$$ and the corresponding perimeter?

    • $$x=8$$ and the perimeter is $$32$$ units
    • $$x=9$$ and the perimeter is $$34$$ units
    • $$x=10$$ and the perimeter is $$31$$ units
    • $$x=13$$ and the perimeter is $$41$$ units

11. A customer buys a laptop and monitor package for $$\$1{,}800$$, a printer for $$\$420$$, and an external drive for $$\$180$$. What is the total cost, in dollars, if the price of the laptop and monitor package increases by $$12\%$$?

    • 2616

12. A company has $$96$$ employees. If three times as many women as men work for the company, how many women work there?

    • $$24$$ women
    • $$48$$ women
    • $$64$$ women
    • $$72$$ women

13. A researcher records $$300$$ birds: $$72$$ geese, $$96$$ ducks, and $$132$$ robins. Write the probability that a randomly selected bird is not a duck.

    • $$\frac{17}{132}$$
    • $$\frac{6}{25}$$
    • $$\frac{17}{25}$$
    • $$\frac{8}{11}$$
    • $$\frac{11}{25}$$

14. Which expression is equivalent to $$3a(a-2b^2)+2a^2$$?

    • $$5a^2-6ab^2$$
    • $$5a^2-2b^2$$
    • $$3a^2-6ab^2$$
    • $$5a(a-2b^2)$$

15. The graph shows a line passing through points $$A$$ and $$B$$. If the slope is $$3$$, what is the $$x$$-coordinate of point $$B$$?

    • $$-5$$
    • $$-3$$
    • $$3$$
    • $$5$$

16. What is the equation of the line shown in the graph?

    • $$y=3x-3$$
    • $$y=3x-4$$
    • $$y=3x-5$$
    • $$y=3x-10$$

17. A worker earns $$\$82.50$$ after taxes for working $$5$$ hours. At the same hourly rate, which equation can be used to determine the worker's earnings, $$N$$, for working $$8$$ hours?

    • $$N=\frac{5}{8}(82.50)$$
    • $$N=5(82.50)$$
    • $$N=\frac{8}{5}(82.50)$$
    • $$N=8(82.50)$$

18. The bar graph shows the results of a survey in which each person selected one favorite movie type. Which pair of values correctly completes the bars for Action-Adventure and Drama?

    • Action-Adventure: $$17$$; Drama: $$18$$
    • Action-Adventure: $$18$$; Drama: $$17$$
    • Action-Adventure: $$19$$; Drama: $$15$$
    • Action-Adventure: $$25$$; Drama: $$10$$

19. Which ratio represents Comedy to Other Types in the bar graph?

    • $$25:12$$
    • $$2:5$$
    • $$12:25$$
    • $$5:2$$

20. Train tickets are sold for the following prices:First class: $$\$7.50$$Second class: $$\$4.25$$Which expression represents the average price of all tickets sold if the station sells $$84$$ first-class tickets and $$126$$ second-class tickets?

    • $$\frac{84+126}{2}$$
    • $$\frac{84(7.50)+126(4.25)}{2}$$
    • $$\frac{84(7.50)+126(4.25)}{84+126}$$
    • $$\frac{(84+126)+5.875}{84+126}$$

21. If $$\frac{(3x+2)^2}{4}=100$$ and $$x$$ > $$0$$, what is the value of $$x$$?

    • $$6$$

22. The towns in Maple County are located along a $$35$$-mile section of interstate at points $$A$$ through $$F$$. The post office is located midway between points $$A$$ and $$E$$. Between which two points is the post office located?

    • Between $$D$$ and $$E$$
    • Between $$C$$ and $$D$$
    • Between $$B$$ and $$C$$
    • Between $$A$$ and $$B$$

23. The total restaurant bill for four friends is $$\$64.00$$. They add an $$18\%$$ tip and divide the total evenly. How much does each person pay?

    • $$\$16.00$$
    • $$\$18.88$$
    • $$\$19.52$$
    • $$\$27.52$$

24. The equation of a line is $$y=\frac{1}{2}x+3$$. At which points does the line cross the $$y$$-axis and the $$x$$-axis?

    • $$(0,-6)$$ and $$(3,0)$$
    • $$(0,6)$$ and $$(-3,0)$$
    • $$(0,3)$$ and $$(-6,0)$$
    • $$(0,-3)$$ and $$(6,0)$$

25. Jordan deposits $$45\%$$ of a paycheck into a savings account. If the deposit is $$\$162$$, what is the total amount of the paycheck in dollars?

    • 360

26. After several days of rainfall, the amount of water in a reservoir is nine times its original amount. Which expression represents the final amount if the reservoir originally contained $$x$$ gallons?

    • $$x+9$$
    • $$8x$$
    • $$x^9$$
    • $$9x$$

27. At a restaurant, servers earn an average of $$\$720$$ less per month than chefs. The restaurant employs $$5$$ chefs and $$16$$ servers. Let $$c$$ represent the average monthly pay of a chef. Which expression represents the total monthly payroll, $$P$$?

    • $$P=5(c-720)+16c$$
    • $$P=21c-720$$
    • $$P=5c+16(c-720)$$
    • $$P=5c+16c+720$$

28. A $$6$$-foot by $$10$$-foot rectangular advertisement costs $$\$180$$. The price is proportional to its area. A new advertisement costs $$\$432$$ and is $$9$$ feet tall. What is its length?

    • $$12$$ feet
    • $$16$$ feet
    • $$18$$ feet
    • $$24$$ feet

29. A team has won $$31$$ of its first $$40$$ games. The team will play $$48$$ games during the entire season. How many of the remaining games must the team win to finish with a $$75\%$$ winning percentage?

    • $$3$$ games
    • $$5$$ games
    • $$7$$ games
    • $$9$$ games

30. What is the area of the composite figure?

    • $$55$$ square units
    • $$132$$ square units
    • $$165$$ square units
    • $$183$$ square units

31. A rectangular storage chest is $$1.8$$ feet wide, $$3$$ feet long, and $$2.5$$ feet deep. It contains $$4$$ packages that each occupy $$1.25$$ cubic feet. How much additional space is available in cubic feet?

    • 8.5

32. A patient has a medical bill of $$\$1{,}200$$. After the patient pays a $$\$400$$ deductible, the insurance company pays $$75\%$$ of the remaining bill. How much of the original bill must the patient pay?

    • $$\$200$$
    • $$\$400$$
    • $$\$600$$
    • $$\$800$$

33. How does the volume of cylinder $$L$$ compare with the volume of cylinder $$R$$?

    • Equal to
    • Slightly larger than
    • More than twice
    • Less than half

34. If cylinder $$L$$ is completely filled with water and emptied into the previously empty cylinder $$R$$, what will be the height of the water in cylinder $$R$$?

    • $$3.2$$ units
    • $$4$$ units
    • $$4.6$$ units
    • $$8$$ units

35. An airplane holds $$280$$ passengers: $$24$$ in first class and the rest in coach. A first-class ticket costs $$\$850$$, and a coach ticket costs $$\$320$$. What is the minimum revenue, in dollars, for a flight on which exactly $$4$$ seats are empty?

    • 98920

36. Let $$x$$ be the distance between points $$A$$ and $$E$$ on the number line. What is the value of $$\frac{x}{3}$$?

    • $$-4$$
    • $$4$$
    • $$5$$
    • $$12$$

37. What value on the number line represents $$(B-C)-D$$?

    • $$-9$$
    • $$-5$$
    • $$-1$$
    • $$5$$

38. Two poles of different lengths are placed against a wall at identical angles, forming similar triangles. Which pair gives possible values for the length of the shorter pole and the height it reaches on the wall?

    • Pole length $$4$$; height $$5$$
    • Pole length $$6$$; height $$5$$
    • Pole length $$5$$; height $$4$$
    • Pole length $$8$$; height $$6$$

39. A patient must take one tablet every $$6$$ hours. The first tablet is taken at $$8{:}00$$ a.m. on Tuesday, and the last tablet is taken at $$8{:}00$$ a.m. on Friday. How many tablets are taken?

    • 13

40. Over a period of several years, a $$\$12{,}500$$ investment increases by $$160\%$$. What is the value of the investment at the end of the period?

    • $$\$20{,}000$$
    • $$\$25{,}000$$
    • $$\$32{,}500$$
    • $$\$200{,}000$$

41. For the semicircle above, point $$C$$ represents the midpoint of arc $$AB$$. Which of the following represents the coordinates of point $$C$$?

    • $$(7,6)$$
    • $$(7,7)$$
    • $$(4,6)$$
    • $$(6,7)$$