1. Test 11 Review

2. 4. You draw two marbles from a bag containing 3 red marbles and 6 blue marbles. What is the probability that both marbles are red?

3. Answer: 1/12

4. 2. A cube 10 cm on edge can hold a liter of water
2. A cube 10 cm on edge can hold a liter of water. A foot is about 30 cm. How many liters of water can a cube 30 cm on edge hold?

5. Answer: 27 Liters

6. 6. The rectangle shows the boundary within which the space capsule is expected to land. The circle represents the 5 mile range from the recovery ship. What is the probability that a capsule landing within the rectangular region also lands within the circular region? Express in terms of pi.

7. Answer: π/12

8. 1. Gloria completed the 120 mile trip at a rate of 60 miles per hour
1. Gloria completed the 120 mile trip at a rate of 60 miles per hour. Returning home, there was more traffic and she averaged 40 miles per hour. Find Gloria’s average speed for the round trip.

9. Answer: 48 mph

10. 5. The 4 painters can complete the job in 15 hours
5. The 4 painters can complete the job in 15 hours. How long will it take 5 painters to complete the job, if they all work at the same pace?

11. Answer: 12 hours

12. 7. Imelda has a credit card that charges 1
7. Imelda has a credit card that charges 1.5% interest per month on the unpaid balance. Her unpaid balance is $1, The minimum payment is $30. If she pays only the minimum, then
How much interest does she pay?
How much is her remaining balance?

13. Answer:
$22.50 $

14. 8. Find the volume of the barn.

15. Answer: 7500 feet cubed

16. 3. A kilogram is about 2. 2 pounds
3. A kilogram is about 2.2 pounds. A cube of water 30 cm on edge weighs about how many pounds?

17. Answer: 59.4 pounds

18. 9. Find the exterior lateral surfaces of the barn, which excludes the area of the roof and floor.

19. Answer: 1100 feet squared

20. 10. A model of the barn is a scale of 1 to 10
10. A model of the barn is a scale of 1 to 10. what is the volume of the model in cubic feet?

21. Answer: 7.5 feet cubed

22. 11. The value of a car declines 20% per year
11. The value of a car declines 20% per year. What percent of the original value remains after 2 years?

23. Answer: 64%

24. 14. The box and whisker plot of scores from a recent test shows that ¾ of the scores were at or above what score?

25. Answer: 82

26. 12. Express 0.5 as a reduced fraction.
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12. Express 0.5 as a reduced fraction.

27. Answer: 5/9

28. 13. How much money is 16 2/3 % of $12.96?

29. Answer: $2.16

30. 15. The graph of y = 3x – 5 passes through which of these points?

31. Answer: B

32. 16. Write a variable expression for the are of a rectangle with length 2x – 1 and width x + 3.

33. Answer: 2x + 5x - 3 2

34. 18. Solve for x. x/18 = 12/2.7

35. Answer: 80

36. 19. Simplify. √8√24

37. Answer: 8√3

38. 20. Simplify (-12) – (-5)(6) (-2)(-3)

39. Answer: 3

40. 17. Solve for x. x + 16 = 25 2

41. Answer: ±3

42. On her first three quizzes Jenna average 8 correct answers
On her first three quizzes Jenna average 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna’s average score on all five quizzes?

43. Answer: 8.4

44. The factory has a rush order
The factory has a rush order. Two machines can complete the order in 48 hours. How many machines are needed to complete the order in 8 hours?

45. Answer: 12 machines

46. A $10,000 investment grows in value at a compound rate of 10% per year
A $10,000 investment grows in value at a compound rate of 10% per year. What is the value of the investment in three full years? (Hint: Look at Investigation 10)

47. Answer: $13,310

48. Ten slips of paper numbered 1 through 10 are placed in a hat
Ten slips of paper numbered 1 through 10 are placed in a hat. Two slips are drawn from the hat without replacement. What is the probability that both numbers drawn are less than 4?

49. Answer: 1/15

50. A 2 Liter bottle of water has a mass of about how many kilograms

51. Answer: 2 kg

52. A rectangle has vertices at (0, -2), (2, 0), (-1, 3), and (-3, 1)
A rectangle has vertices at (0, -2), (2, 0), (-1, 3), and (-3, 1). What is the area of the rectangle?

53. Answer: 12 units squared

54. Solve for x. 3x + 2(x – 1) = x + 10

55. Answer: 3

56. Solve for x. x – 9 = 16 2

57. Answer: ±5

58. Simplify √2  √4  √6

59. Answer: 4√3

60. What is the volume of a square pyramid with a base that has 6 inch sides and a height of 4 inches?

61. Answer: 48 inches cubed

62. What is the volume of a soup can that has a height of 10 cm and a base diameter of 8 cm?

63. Answer: cm cubed