Final Exam 2009

8/8/2019 Final Exam 2009

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Math 7 – Final Exam Packet Name_____________________________

Be sure to show all work and reduce all fractions to lowest terms.

1. Round the following numbers to the underlined digit:

a) 9.02 b) 47.5 c) 4.198

2. Estimate the following numbers and then perform the operation given:

a) 4.9 + 7.2 b) 39.06 – 19.1 c) (151)(0.9)

3. Find the mean, median, mode and range of the following set of data:

43, 36, 43, 41, 50, 43, 30, 34, 30 and 48

Mean = ______ Median = ______ Mode = ______ Range = ______

4. Use the following numbers to make a stem and leaf plot:

43, 36, 40, 50, 43, 30, 34, 30, 48, 30, 43, 41, 50

5. List the first 5 multiples of 6. 6. List the factors of 20

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7. Evaluate “One to the 37th power.” 8. Evaluate “Twenty to the zero power.”

9. Write the expression 2 • 2 • 2 • 2 • 2 using exponents and evaluate.

10. Estimate the square root of 50 to the nearest whole number.

11. Write an algebraic expression that expresses “the product of six and a number”.

12. Write the following numbers in standard form:

a) 2.5 x 107 b) 3.02 x 1010 c) 3 x 105

13. Write the following numbers in scientific notation:a) 10,000,000,000 b) 450,000,000 c) 97,600,000,000,000

14. Using the divisibility rules, determine whether the number 74,158,327,640 isdivisible by 2, 3, 4, 5, 6, 8, 9 or 10. Write yes or no in each space in the chart.

15. If y = –6, the formula x = 10y gives which value for x?

16. Evaluate the formula6

bax

+= for a = 23 and b = 10.

17. Write the prime factorization of 210 using exponents.

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18. Use prime factorization to find the GCF and LCM of 24 and 32.

GCF =__________________

LCM =__________________

19. Evaluate each expression using the order of operations, PEMDAS!

a) 40 + 2 • 5 = b) 3 • 4 + 8 ÷ 2 = c) (5)(4) + 6 ÷ 2 =

d) 12 ÷ 3(4) = e) 62 ÷ 3 = f) 17 + 3(4 + 2) =

20. Simplify each expression by combining like terms.

a) 6q – 2q + 4q b) 2r – 5 + 3r + 7 c) 5s + 4t – 2s – (–3t)

21. Solve and check each equation in the space provided.

a) h – (–3) = –7 b) 80 = –8k

22. Write the opposite of 37. 23. Evaluate 2317 − .

24. Name the quadrant that contains the point (–14, –5).

Evaluate each expression. (Calculators will not be allowed on the final exam!)Page 3

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25. –5 + 6 = 26. –37 – 47 = 27. 11 – 20 =

28. –12 + (–37) = 29. –9 – 7 = 30. 9 – (– 3) =

31. –16 – 7 = 32. 7 + (– 7) = 33. –17 + (–3) =

34. –8 • (–9) = 35. 85 ÷ (–5) = 36. (–5)3 =

37. (–2)3 + (–8) = 38. 17 – (13 + 20) = 39. (4 – 12) – (8 – 12) =

40. Convert each decimal to a fraction or mixed number in lowest terms.

a) 0.4 b) –0.35 c) 6.25

41. Convert each rational number to a decimal.

a)8

5 b)

9

5− c)

4

17

42. Rewrite each mixed number as an improper fraction.

a) =3

18 b) =−

5

26 c) =

10

710

43. Rewrite each improper fraction as a mixed number.

a) =4

15 b) =−

7

50c)

10

41

44. Express each fraction in lowest terms.

a) =

24

15 b) =

44

28c) =−

26

13

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45. Find each sum or difference. All answers must be in lowest terms.

a) =+4

31

6

57 b) =−

5

245 c) =−

2

14

3

15

46. Find each product or quotient. All answers must be in lowest terms.

a) =

7

5

5

2 b) =

−

11

22

3

23 c) =

−

−

7

62

5

14

d) =÷39

8e) =÷−

3

13

2

12 f) =

−÷−

9

41

6

12

47. 129 out of 140 students passed Math last year. This year, 135 out of 142 passed. Findthe ratio of students that failed last year to students that failed this year.

48. Express “63 pounds in 9 months” s a unit rate in word form.

49. Which is the best buy for CD’s, 3 for $15 or 10 for $40?

50. Is the rate nine pets in 7 houses proportional to the rate 18 pets in 14 houses?

51. Solve each proportion. Show all work.

a)16

m

4

3= b)

27

9

3

y= c)

x

14

7

2=

52. Convert each of the following measurements.

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a) 60 inches to feet b) 7 days to hours c) 16,000 pounds to tons

53. Write each decimal as a percent.

a) 0.42 b) 0.2 c) 3

54. Write each percent as a decimal.

a) 15% b) 7% c) 250%

55. Write each fraction as a percent.

a)2

1 b)

4

3c)

3

2

56. Write each percent as a fraction in lowest terms.

a) 56% b) 25% c) 2.5%

Translate each sentence into an equation OR a proportion and solve.

(HINT: “is over of & % over 100”)

57. 9 is what percent of 45? 58. What number is 20% of 24?

59. What is 35% of 80? 60. 25% of what number is 125?

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61. Use mental math to find each percent of 2,000.

a) 50% = __________ b) 10% = __________ c) 1% = ____________

62. A motorized scooter costs $200. What is the sale price if it is on sale for 30% off?

63. Kodak Camera had a tripod sale. If 50% of the 60 tripods sold, how many did not sell?

64. John borrowed $5,000 from the bank to make a down payment on a car.The bank charged 12% simple interest on the loan for three years.

a) How much interest did John have to pay?

b) What was the final amount John gave to the bank?

65. Find the measure of each missing angle. Pictures are not drawn to scale.

a) b) c)

66. What is the diameter of a circle that has a radius of 4.5 meters?

67. What is the radius of a circle that has a diameter of 150 feet?

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105°? 71°

?

35°

?

?

?

8/8/2019 Final Exam 2009


68. How many sectors with 90o central angles can fit into a circle?

69. A circle divided into twelve equal sectors has central angles with how many degrees?

70. In ,ABC∆ Am∠ = 100o and Bm∠ = 25o, what is m C∠ ?

71. Find the length of each side of a regular pentagon if it has a perimeter of 40 cm.

72. Find the width of a rectangle if its length is 20 meters and its perimeter is 56 meters.

73. Find the base of a parallelogram with a height of 8 meters and an area of 88 m2.

74. Like a typical boy, Kyle does not care if any of his clothes match. Knowing this, howmany outfits he can create with his five shirts, four shorts and three pairs of shoes?

75. Compute seven factorial. 76. Compute five factorial minus ten squared.

77. One red, two white and three blue marbles are in a bag. Find the probability of eachevent when one marble is chosen and write your answer as a fraction.

a) White b) Purple c) Not blue

d) Red or blue e) White and blue f) White or yellow

78. How many four-letter permutations can you form from ten different letters?

79. Solve each equation and be sure to show all steps.

a) 7a – 4 = 38 b) 088

b=+ c) –2f – 4 = 11

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80. Solve the following multi-step equations by first combining like terms.

a) 7q −4q + 5 – 3 = 20 b) 6r + 9 + 6r −1 = 32 c) 11s + s −2s −s = 9

81. Solve each inequality and graph your answer on a number line.a) x + 5 ≥ 3 b) –6y > 48

82. Explain what will happen to a point that is translated by the rule (x,y) →(x – 5, y + 2).

______________________________________________________________________

______________________________________________________________________

Use the following letters for questions #83 – 86: S, T, O, C, U, M

83. Which letters have just one line of symmetry?

84. Which letter has more than one line of symmetry?

85. Which letters have no lines of symmetry?

86. Which letters have rotational symmetry?

87. Explain any two facts you know about the volume of any geometric solid.

1.____________________________________________________________________

2.____________________________________________________________________

88. The formula 2πr2 + 2πrh is used to find the surface area of what geometric solid?

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89. Name the geometric solid below and then find its surface area.

Name________________________

SA =_________________________

90. Students surveyed their teachers to determine their favorite flavor of ice cream. Thetable below shows their results Use this information to construct a bar graph.

Be sure to:

• Title your graph.

• Label the axes.

• Use appropriate and consistent scales.

• Accurately graph the data.

Teacher’s Favorite Ice Cream

Flavor Number

Vanilla 13

Chocolate 20

Cookies ‘N Cream 7

Mint Chocolate Chip 4

Coffee 1

Chocolate Peanut Butter Cup 8

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10 ft

10 ft

10 ft

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Final Exam 2009