B Apply

Estimate the numbers graphed at the labeled points.

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41. point A
42. point B
43. point C
44. point D
45. point E
46. point F
47. point G
48. point H
49. Think About a Plan A cube-shaped jewelry box has a surface area of 300 square inches. What are the dimensions of the jewelry box?
    • Write an algebraic expression to find the total surface area of a cube. What is the surface area of one side of a cube?
    • How is the side length of a square related to its area?
50. Error Analysis A student labeled the points on the number line as shown. Explain the student's error.

    
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Science The formula I = W R i equals , square root of w over r end root  gives the electric current I in amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms. Which set of numbers best describes the value of I for the given values of W and R?

51. W = 100, R = 25
52. W = 100, R = 5
53. W = 500, R = 100
54. W = 50, R = 200
55. W = 250, R = 100
56. W = 240, R = 100

Write the numbers in decreasing order.

57. 1 , − 3 , − 2 , 8 , 1 3 1 comma negative 3 comma negative square root of 2 comma 8 comma , 1 third
58. 14 , 5 2 , − 9 16 , 1 , 11 square root of 14 comma , 5 halves , comma negative , 9 sixteenths , comma 1 comma 11
59. − 17 , − 0.06 , − 3 3 , 5.73 , 1 4 negative 17 comma negative , 0.06 , comma negative 3 square root of 3 comma , 5.73 , comma , 1 fourth

Reasoning An example is a counterexample to a general statement if it makes the statement false. Show that each of the following statements is false by finding a counterexample.

60. The reciprocal of each natural number is a natural number.
61. The opposite of each whole number is a whole number.
62. There is no integer that has a reciprocal that is an integer.
63. The product of two irrational numbers is an irrational number.
64. All square roots are irrational numbers.
65. Writing Write an example of each of the 11 properties of real numbers shown on page 14.
66. Restaurant Five friends each ordered a sandwich and a drink at a restaurant. Each sandwich costs the same amount and each drink costs the same amount. What are two ways to compute the bill? What property of real numbers is illustrated by the two methods?
67. Open-Ended Write an algebraic problem that requires the use of the real-number properties to solve. Then solve the problem.

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