C Challenge

Solve each proportion.

55. 4 y − 3 y 2 + 1 = 4 y fraction 4 y minus 3 , over y squared , plus 1 end fraction . equals , 4 over y
56. w 2 + 3 2 w + 2 = w 2 fraction w squared , plus 3 , over 2 w plus 2 end fraction . equals , w over 2
57. 5 x x 3 + 5 = 5 x 2 − 7 fraction 5 x , over x cubed , plus 5 end fraction . equals . fraction 5 , over x squared , minus 7 end fraction
58. Parade Floats A group of high school students is making a parade float by stuffing pieces of tissue paper into a wire frame. They use 150 tissues to fill an area 3 ft long and 2 ft wide. The total area they want to fill is 8 ft long and 7 ft wide. What is the total number of tissues they will need?
59. Insects It takes an insect 15 s to crawl 1 ft. How many hours would it take the insect to crawl 1 mi if the insect crawls at the same rate?

Standardized Test Prep

SAT/ACT

60. A high school soccer team is making trail mix to sell at a fundraiser. The recipe calls for 3 lb of raisins and 2 lb of peanuts. If the team purchases 54 lb of peanuts, how many pounds of raisins will they need?
    1. 27
    2. 36
    3. 81
    4. 162
61. One day during flu season, 1 3 1 third  of the students in a class were out sick, and only 24 students were left. How many students are in the class?
    6. 16
    7. 30
    8. 36
    9. 72
62. An art gallery owner is framing a rectangular painting, as shown. The owner wants the width of the framed painting to be 38 1 2 38 , and 1 half  in. How wide should each of the vertical sections of the frame be?

    

    1. 4 1 8 in. 4 , and 1 eighth , in.
    2. 4 1 4 in. 4 , and 1 fourth , in.
    3. 4 1 2 in. 4 , and 1 half , in.
    4. 8 1 2 in. 8 , and 1 half , in.

Mixed Review

See Lesson 2-6.

Copy and complete each statement.

63. 6 qt = □ gal
64. 84 in. = □ ft
65. 2 1 2 2 , and 1 half  yd = □ in.
66. 3 min 10 s = □ s

See Lesson 2-4.

Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution.

67. 3 x − ( x − 4 ) = 2 x 3 x minus open x minus 4 close equals 2 x
68. 4 + 6 c = 6 − 4 c 4 plus 6 c equals 6 minus 4 c
69. 5 a − 2 = 0.5 ( 10 a − 4 ) 5 eh minus 2 equals 0.5 open 10 eh minus 4 close

Get Ready! To prepare for Lesson 2-8, do Exercises 70–73.

See Lesson 2-7.

Solve each proportion.

70. x 12 = 7 30 x over 12 , equals , 7 thirtieths
71. y 12 = 8 45 y over 12 , equals , 8 forty fifths
72. w 15 = 15 27 w over 15 , equals , 15 over 27
73. n 9 = n + 1 24 n over 9 , equals . fraction n plus 1 , over 24 end fraction

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