Part 2 — Full Practice Exam 8

Questions in this quiz (41)

1. A storage shelf has room for only two containers on the bottom shelf. The heaviest boxes should be placed on the bottom.Which two boxes should be placed on the bottom shelf? Enter the letters of the boxes.

   • Boxes $$B$$ and $$C$$
   • Boxes $$A$$ and $$C$$
   • Boxes $$C$$ and $$D$$
   • Boxes $$A$$ and $$D$$

2. A runner's average time for $$6$$ races was $$52$$ minutes. Her first $$5$$ race times were $$49$$, $$55$$, $$51$$, $$54$$, and $$50$$ minutes. What was her time for the sixth race, in minutes?

   • 53

3. A cyclist travels $$18$$ miles from one town to another in $$2$$ hours and returns along the same route in $$1$$ hour. What is the cyclist's average rate of speed for the entire trip?

   • $$6$$ miles per hour
   • $$9$$ miles per hour
   • $$12$$ miles per hour
   • $$18$$ miles per hour

4. In quadrilateral $$ABCD$$, side $$AB$$ is parallel to side $$CD$$. Sides $$AD$$ and $$BC$$ are not parallel.What is the area of the figure to the nearest square centimeter?

   • 10

5. Simplify the expression:$$3x^2-6xy+9xy$$

   • $$3x(x+y)$$
   • $$3x(x-y)$$
   • $$x(3x+y)$$
   • $$3(x^2+y)$$

6. A scientist recorded the noon temperatures for three days as $$-1^\circ\mathrm{F}$$, $$2^\circ\mathrm{F}$$, and $$-4^\circ\mathrm{F}$$. What was the average temperature? Enter the value represented on the number line.

   • $$1^\circ\mathrm{F}$$
   • $$3.5^\circ\mathrm{F}$$
   • $$-1^\circ\mathrm{F}$$
   • $$-2^\circ\mathrm{F}$$

7. What is the value of $$5^4$$?

   • 625

8. Use the spreadsheet below.What is the value of $$-[A1-(C2-A3)+C2\timesB1]$$?

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

9. Simplify:$$(7x^4+5x^3+8x)-(3x^4-4x^3+2x)$$

   • $$4x^4+9x^3+6x$$
   • $$10x^4+x^3+10x$$
   • $$4x^4+x^3+6x$$
   • $$4x^4+9x^3+10x$$

10. The perimeter of the trapezoid shown is $$50$$ units.What is its area?

    • $$12$$ square units
    • $$60$$ square units
    • $$120$$ square units
    • $$150$$ square units

11. A printing company calculates the cost $$C$$, in dollars, of an order using $$C=22.50b+12b(n-1)$$ where $$b$$ is the number of boxes and $$n$$ is the number of ink colors. What is the cost of $$5$$ boxes printed in $$3$$ colors?

    • $$112.50$$ dollars
    • $$172.50$$ dollars
    • $$232.50$$ dollars
    • $$292.50$$ dollars

12. The graph of $$y=-\frac{3}{4}x+1$$ is a line that passes through points $$C$$ and $$D$$ on the coordinate plane.Which point also lies on the graph?

    • $$(3,1)$$
    • $$(8,-5)$$
    • $$(5,3)$$
    • $$(10,6)$$

13. Which equation describes the line on the original graph?

    • $$y=-\frac{1}{2}x-6$$
    • $$y=2x+3$$
    • $$y=\frac{1}{2}x-6$$
    • $$y=\frac{1}{2}x+3$$

14. $$2,5,11,23,47,\ldots,191$$What is the sixth term in the sequence?

    • $$94$$
    • $$95$$
    • $$96$$
    • $$97$$

15. Evening tickets cost $$27.50$$ dollars each, and afternoon tickets cost $$21$$ dollars each. A family needs $$4$$ tickets. Which expression gives how much less the family will spend by attending the afternoon show?

    • $$4(27.50+21)$$
    • $$27.50-4(21)$$
    • $$4(27.50-21)$$
    • $$(27.50-21)\div4$$

16. A council held $$63$$ seats in one election. It gained $$4$$ seats, later lost $$9$$ seats, and then gained $$2$$ seats. What was the absolute change in the number of seats from the first election to the final election?

    • 3

17. What is the surface area of the cylinder with radius $$2$$ units and height $$5$$ units?

    • $$20\pi$$ square units
    • $$28\pi$$ square units
    • $$32\pi$$ square units
    • $$50\pi$$ square units

18. Simplify:$$\frac{3x^2-15x-42}{3x-21}$$

    • $$x-7$$
    • $$x+2$$
    • $$x-2$$
    • $$x+7$$

19. Customers of Paul's Beauty Supply can make purchases online, from a catalog, or in the store.About how much more did the company make from catalog sales than from online sales in March?

    • $$35{,}000$$ dollars
    • $$65{,}000$$ dollars
    • $$130{,}000$$ dollars
    • $$195{,}000$$ dollars

20. Which original number-line graph represents $$-2\le x$$ < $$4$$?

21. At what point do the lines $$y=3x+1$$ and $$y=-x+9$$ intersect?

    • $$(2,7)$$
    • $$(-2,-5)$$
    • $$(0,1)$$
    • $$(0,9)$$

22. A pole is supported by a cable. The cable is attached to the ground $$9$$ feet from the base of the pole and to the pole $$12$$ feet above the ground.Which expression gives the cable's length?

    • $$9^2+12^2$$
    • $$12^2-9^2$$
    • $$\sqrt{9^2+12^2}$$
    • $$\sqrt{12^2-9^2}$$

23. A designer must select $$2$$ different lamps from $$5$$ available lamps. How many different combinations can be selected?

    • 10

24. The original Whitman family budget assigns $$24\%$$ of monthly take-home pay to credit-card debt.If the monthly take-home pay is $$2{,}500$$ dollars, about how much is planned for credit-card debt?

    • $$600$$ dollars
    • $$450$$ dollars
    • $$300$$ dollars
    • $$240$$ dollars

25. A store sells granola bars at a rate of $$5$$ boxes for $$12.50$$ dollars. What will $$8$$ boxes cost at the same rate, in dollars?

    • 20

26. The original incomplete dot plot is based on this record:Which dots must be added to complete the plot?

    • Two at $$2$$ and two at $$7$$
    • One at $$2$$, two at $$4$$, and one at $$7$$
    • One at $$3$$, two at $$5$$, and one at $$6$$
    • Three at $$4$$ and one at $$7$$

27. A circle has area $$49\pi$$ square units. What is its diameter?

    • $$7$$ units
    • $$14\pi$$ units
    • $$14$$ units
    • $$98$$ units

28. In one year, an employee earned a salary of $$48{,}000$$ dollars and a bonus of $$4{,}000$$ dollars. The next year, the salary was $$51{,}500$$ dollars and the bonus was $$3{,}100$$ dollars. What was the percent change in total earnings?

    • $$2.5\%$$ increase
    • $$2.5\%$$ decrease
    • $$5.0\%$$ increase
    • $$5.0\%$$ decrease

29. A restaurant pays a server a $$0.75$$-dollar bonus for each dinner special sold. The server must sell at least $$8$$ specials to qualify. Which model gives the bonus $$b$$ based on the number of specials $$d$$?

    • $$b=0.75d$$ for $$d\ge8$$
    • $$b=8d$$ for $$d\ge0.75$$
    • $$b=0.75+d$$ for $$d\ge8$$
    • $$b=0.75d$$ for $$d\le8$$

30. $$y=x+4$$$$2y+4x=44$$Find the solution of the system shown above.

    • $$(2,4)$$
    • $$(6,10)$$
    • $$(2,-4)$$
    • $$(4,-6)$$

31. A bag contains $$10$$ red, $$5$$ blue, $$8$$ green, and $$2$$ yellow marbles. If one marble is selected at random, what is the probability that it is blue or yellow?

    • $$7\%$$
    • $$20\%$$
    • $$28\%$$
    • $$32\%$$

32. A right cone has is shown above. Using $$3.14$$ for $$\pi$$, what is its volume to the nearest cubic centimeter?

    • $$40$$ cubic centimeters
    • $$81$$ cubic centimeters
    • $$129$$ cubic centimeters
    • $$514$$ cubic centimeters

33. Eight finalists compete for first, second, and third place. How many different ways can the three places be awarded?

    • 336

34. Archie gives $$\frac{1}{4}$$ of his chili to his parents, $$\frac{1}{8}$$ to one neighbor, and another $$\frac{1}{8}$$ to a second neighbor. How much of the chili remains?

    • $$\frac{1}{6}$$
    • $$\frac{1}{4}$$
    • $$\frac{1}{3}$$
    • $$\frac{1}{2}$$

35. At the end of a season, $$8\%$$ of the students in a sports program will be selected for a tournament. If $$24$$ students are selected, how many students are enrolled?

    • $$30$$
    • $$192$$
    • $$300$$
    • $$1{,}920$$

36. A computer technician needs $$1$$ hour to install an operating system and $$30$$ minutes to install a sound card. If the technician charges $$72$$ dollars per hour, what is the labor charge?

    • $$72$$ dollars
    • $$102$$ dollars
    • $$144$$ dollars
    • $$108$$ dollars

37. Which expression represents $$2{,}480{,}000{,}000$$ in scientific notation?

    • $$2.48\times10^9$$
    • $$2.48\times10^6$$
    • $$24.8\times10^9$$
    • $$2{,}480\times10^6$$

38. What is the slope of the line on the original coordinate plane?

    • -2

39. One number is $$10$$ more than $$2$$ times another number. The sum of the two numbers is $$-14$$. What are the numbers?

    • $$8$$ and $$6$$
    • $$-12$$ and $$-2$$
    • $$-8$$ and $$-6$$
    • $$-10$$ and $$-4$$

40. Which pair of numbers is a solution to $$2x^2-40=-16x$$?

    • $$-5$$ and $$4$$
    • $$-2$$ and $$10$$
    • $$-4$$ and $$5$$
    • $$-10$$ and $$2$$

41. Solve each equation in the order shown:$$x-4=8$$$$\frac{a}{6}=7$$$$5y=-30$$$$9+m=2$$Which ordered list gives the four solutions?

    • $$12,42,-6,-7$$
    • $$4,13,-25,7$$
    • $$12,42,6,7$$
    • $$-12,42,-6,-7$$