42. Reasoning A traveler changed $300 to euros for a trip to Germany, but the trip was canceled. Three months later, the traveler changed the euros back to dollars. Would you expect that the traveler got exactly $300 back? Explain.

C Challenge

43. Measurement Dietrich draws a line on the blackboard whose length is given by the expression 1 mm + 1 cm + 1 in. + 1 ft + 1 yd + 1 m. What is the length of the line in millimeters?
44. Square Measurements There are 2.54 cm in 1 in.
    1. How many square centimeters are there in 1  in. 2 ? 1 , in. squared , question mark  Give your answer to the nearest hundredth of a square centimeter.
    2. How many square inches are there in 129  cm 2 ? 129 , cm squared , question mark

Standardized Test Prep

SAT/ACT

45. Most mammals take 1 breath for every 4 heartbeats. The heart of a large dog beats about 180 times in 1 min. About how many times does the dog take a breath in 1 min?
    1. 40
    2. 45
    3. 90
    4. 720
46. Which equation best describes the relationship shown in the table?

    x	− 2 negative 2	− 1 negative 1	0	1	2
    y	− 4 negative 4	− 2 negative 2	0	2	4

    6. y = x − 2 y equals x minus 2
    7. y = x − 1 y equals x minus 1
    8. y = x
    9. y = 2x
47. Which expression is equivalent to − 2 ( 3 x − 4 ) − ( − 2 x + 1 ) ? negative 2 open 3 x minus 4 close minus open negative 2 x plus 1 close question mark
    1. − 4 x − 7 negative 4 x minus 7
    2. − 4 x − 5 negative 4 x minus 5
    3. − 4 x + 7 negative 4 x plus 7
    4. − 4 x + 9 negative 4 x plus 9

Mixed Review

See Lesson 2-5.

48. What is the height of a triangle with an area of 30  cm 2 30 , cm squared  and a base length of 12 cm?
49. What is the diameter of a circle with a circumference of 47.1 in.? Use 3.14 for π.

See Lesson 2-3.

Solve each equation. Check your answer.

50. 2y + 0.5y + 4.5 = 17
51. − 2 3 x − 8 = − 12 negative , 2 thirds , x minus 8 equals negative 12
52. − 4.8 = − 4 ( 2.4 d ) negative 4.8 equals negative 4 open 2.4 d close
53. 3 a + 1 5 = 2 fraction 3 eh plus 1 , over 5 end fraction . equals 2

Get Ready! To prepare for Lesson 2-7, do Exercises 54–57.

See Lesson 1-4.

Simplify each expression. Justify each step.

54. 27 x x fraction 27 x , over x end fraction
55. b 112 b fraction b , over 112 b end fraction
56. 20 m n n fraction 20 m n , over n end fraction
57. 2 x y 7 x fraction 2 x y , over 7 x end fraction

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