Part 2 — Full Practice Exam 9

Questions in this quiz (41)

1. A jacket has an original price of $$80$$ dollars and is discounted by $$25\%$$. What is the sale price?

   • $$60$$ dollars
   • $$20$$ dollars
   • $$55$$ dollars
   • $$75$$ dollars

2. In a restaurant, one serving of macaroni and cheese is $$\frac{2}{3}$$ cup. Which expression gives the number of servings in an $$80$$-cup tub?

   • $$80\times\frac{2}{3}$$
   • $$80\div\frac{2}{3}$$
   • $$\frac{80+2}{3}$$
   • $$80-\frac{2}{3}$$

3. What is the slope of the line through $$A(-1,5)$$ and $$B(2,1)$$?

   • $$\frac{4}{3}$$
   • $$-\frac{3}{4}$$
   • $$-\frac{4}{3}$$
   • $$\frac{3}{4}$$

4. Which is the best estimate of the park's dry-land area, in square miles?

   • $$1.1$$
   • $$1.75$$
   • $$2.1$$
   • $$1.5$$

5. The yearly costs for three water heaters are shown.Which type is least expensive to run?

   • Natural gas
   • Propane
   • Electricity
   • All three cost the same

6. Which graph best represents the relationship between propane price per gallon and yearly heater cost?

7. A taxi charges a starting fee of $$4$$ dollars plus $$2.50$$ dollars per mile. Which equation gives the total cost $$C$$ for $$m$$ miles?

   • $$C=4m+2.50$$
   • $$C=6.50m$$
   • $$C=2.50m+4$$
   • $$C=2.50m-4$$

8. Alex is $$6$$ feet tall. His shadow is $$0.8$$ foot long, and his house casts a $$7$$-foot shadow. To the nearest tenth of a foot, how tall is the house?

   • $$9.3$$ feet
   • $$42.0$$ feet
   • $$84.0$$ feet
   • $$52.5$$ feet

9. A bicycle-shop owner wants to learn why people shop at competitors. Which group is the best sample?

   • $$200$$ participants in the town's annual bicycle tour
   • $$200$$ children at local grade schools
   • $$2$$ people outside a competitor's store
   • $$1000$$ subscribers to a national bicycle magazine

10. At a bicycle shop, the numbers rating service as Poor or Awful are shown.Which age group needs the most attention?

    • People $$12$$ and under
    • People ages $$26$$–$$35$$
    • People ages $$13$$–$$18$$
    • People $$36$$ and over

11. Three fair coins are tossed. What is the probability that exactly two land heads up?

    • $$\frac{1}{8}$$
    • $$\frac{2}{8}$$
    • $$\frac{3}{8}$$
    • $$\frac{1}{2}$$

12. By how many percentage points did the single-family-home share increase?

    • $$19$$ percentage points
    • $$37$$ percentage points
    • $$135.5$$ percentage points
    • $$21.5$$ percentage points

13. In $$1998$$, $$307{,}000$$ apartment buildings with five or more units represented $$19\%$$ of all new buildings and homes. Which expression gives the total number built?

    • $$\frac{307000}{19}\times100$$
    • $$19(307000)$$
    • $$307000\times\frac{19}{100}$$
    • $$\frac{307000}{0.19}\times100$$

14. A car travels $$156$$ miles on $$6$$ gallons of gasoline. What is its unit rate in miles per gallon?

    • $$24$$ miles per gallon
    • $$26$$ miles per gallon
    • $$25$$ miles per gallon
    • $$936$$ miles per gallon

15. Solve $$5x-7=38$$.

    • $$x=5$$
    • $$x=6.2$$
    • $$x=9$$
    • $$x=31$$

16. Sheetal drives $$80$$ kilometers per hour. It takes her $$4$$ hours to reach her mother's house. If she drove $$100$$ kilometers per hour, how many hours would the trip take?

    • 3.2

17. The tether is $$400$$ meters and the horizontal distance is $$50$$ meters. About how many meters above the ground is the top of the balloon? Round to the nearest whole meter.

    • 397

18. Yolanda's living room is $$180$$ inches long. Which expression converts this length to yards?

    • $$\frac{180}{12}$$
    • $$\frac{180}{12\times3}$$
    • $$\frac{180}{12\div3}$$
    • $$\frac{180\times3}{12}$$

19. Which formula relates rent $$r$$ to bedrooms $$b$$?

    • $$r=450b$$
    • $$r=125b$$
    • $$r=450+125b$$
    • $$r=575+125b$$

20. A company has $$10000$$ shares. A businessperson owns $$1345$$ shares and wants to own $$51\%$$ of the company. Which expression gives the additional shares needed?

    • $$\frac{51}{10000}\times100$$
    • $$0.51(10000-1345)$$
    • $$0.51(10000)-0.51(1345)$$
    • $$0.51(10000)-1345$$

21. Which option cuts a $$9$$-inch square cake into the required final triangular cake?

22. The model cake is an equilateral triangle with side length $$9$$ inches. Which information is enough to prove another triangular cake is congruent to it?

    • At least two $$9$$-inch sides
    • At least two $$60^\circ$$ angles and one $$9$$-inch side
    • Three angles whose sum is $$180^\circ$$
    • A $$45^\circ$$ angle and at least two $$9$$-inch sides

23. Which fact would prove that the opposite walls of a building are parallel, assuming the walls do not curve?

    • The roof is a perfect square
    • All four walls have the same height
    • The walls form $$90^\circ$$ angles with the flat ground
    • The building's shadow is perpendicular to the ground

24. The wheel has an inner radius of $$18$$ inches and a tire thickness of $$2$$ inches. Which expression gives the outside circumference?

    • $$3.14\times18$$
    • $$3.14\times20$$
    • $$3.14\times36$$
    • $$3.14\times40$$

25. A $$20$$-yard by $$10$$-yard garlic-mustard patch doubles every $$4$$ years. Which row correctly gives its areas?

26. The park is $$100$$ yards by $$60$$ yards, and the garlic-mustard patch is $$20$$ yards by $$10$$ yards. What fraction of the park is covered?

    • $$\frac{1}{45}$$
    • $$\frac{1}{30}$$
    • $$\frac{1}{25}$$
    • $$\frac{1}{20}$$

27. Which expression gives the mean number of diners on Saturday?

    • $$\frac{290-215}{5}$$
    • $$\frac{290-215}{2}$$
    • $$\frac{215+247+256+290+251}{5}$$
    • $$\frac{215+290}{2}$$

28. Which is the best prediction of how many diners Maxine's will have the next Sunday?

    • $$88$$
    • $$117$$
    • $$121$$
    • $$100$$

29. Direct payments were $$1.8$$ billion dollars and then increased by $$200\%$$. Which expression gives the new amount?

    • $$1.8\times3$$
    • $$1.8\times2$$
    • $$1.8\times0.2$$
    • $$\frac{1.8}{0.2}$$

30. A hiker travels to the end of a $$2.86$$-mile trail and back, then hikes another $$0.23$$ mile. To the nearest tenth, how many miles did the hiker travel?

    • $$3.1$$ miles
    • $$6.0$$ miles
    • $$5.7$$ miles
    • $$6.5$$ miles

31. Zack earns $$r$$ dollars per hour and works about $$22$$ hours each week for $$52$$ weeks. Which expression estimates his yearly earnings?

    • $$\frac{22}{r}\times52$$
    • $$\frac{22\times52}{r}$$
    • $$r\times22\times52$$
    • $$\frac{22r}{52}$$

32. Which ordered pair names the point located $$1$$ unit left of the origin and $$5$$ units below the origin?

    • $$(1,-5)$$
    • $$(-5,-1)$$
    • $$(1,5)$$
    • $$(-1,-5)$$

33. If the burners remain on medium for $$80$$ minutes, about how hot will the kiln get?

    • $$1800^\circ$$F
    • $$1220^\circ$$F
    • $$1500^\circ$$F
    • About $$2000^\circ$$F

34. Estimate the kiln temperature after $$60$$ minutes on medium.

    • $$1210^\circ$$F
    • $$1350^\circ$$F
    • $$1220^\circ$$F
    • $$1500^\circ$$F

35. If the linear trend continues for $$120$$ minutes, about how hot will the kiln get?

    • $$2400^\circ$$F
    • $$3000^\circ$$F
    • $$2700^\circ$$F
    • $$3300^\circ$$F

36. A maneuver slowed Earth's rotation by $$10^{-12}$$ second. Which decimal equals $$10^{-12}$$?

    • $$0.00000000001$$
    • $$0.00000000012$$
    • $$0.0000000000001$$
    • $$0.000000000001$$

37. Paul needs $$8$$ pieces of lumber, each $$38\frac{1}{2}$$ inches long. What is the minimum number of $$10$$-foot boards he should buy?

    • $$3$$
    • $$1$$
    • $$2$$
    • $$4$$

38. Mt. Adams is $$6$$ miles from Mt. Scott and $$8$$ miles from Mt. St. Clair, with a right angle at Mt. Adams. How far is Mt. Scott from Mt. St. Clair?

    • 10

39. Approximately what f-stop corresponds to a shutter speed of $$300$$?

    • $$4.5$$
    • $$6.5$$
    • $$5.5$$
    • $$7$$

40. What is the $$x$$-intercept?

    • $$(1500,0)$$
    • $$(0,1000)$$
    • $$(1000,0)$$
    • There is no $$x$$-intercept

41. Antonio's Pizza wants to sell square pizzas that use the same amount of dough and toppings as the round pizzas currently sold. Let $$d$$ represent the diameter of a round pizza and $$s$$ represent the side length of a square pizza. Which equation can be used to determine $$s$$ so that the square pizza has the same area as the round pizza?

    • $$\frac{d}{2}=s$$
    • $$2d=s^2$$
    • $$\pi d=s^2$$
    • $$\pi\left(\frac{d}{2}\right)^2=s^2$$