C Challenge

66. Open-Ended Find three consecutive integers with a sum of 45. Show your work.
67. Cooking A cook buys two identical bags of rice and uses some of the rice in each bag so that one bag is half full and the other is one-third full. The cook combines them into one bag, which then contains 3 1 3 3 , and 1 third  cups of rice. How much rice was in a full bag?
68. Painting Tim can paint a house in 6 days. Tara can paint the same house in 3 days.
    1. What fraction of the house can Tim paint in one day? What fraction of the house can Tara paint in one day?
    2. What fraction of the house can Tim paint in d days? What fraction of the house can Tara paint in d days?
    3. What fraction of the house can Tim and Tara together paint in one day? What fraction of the house can Tim and Tara together paint in d days?
    4. Write and solve an equation to find the number of days it will take Tim and Tara to paint the whole house working together.

Standardized Test Prep

SAT/ACT

69. When a number is increased by 3 and that number is doubled, the result is − 8 . negative 8 .  What was the original number?
    1. − 14 negative 14
    2. − 7 negative 7
    3. − 5.5 negative 5.5
    4. − 1 negative 1
70. What is the value of the expression − 3 r + 6 + r negative 3 r plus 6 plus r  when r = − 2 ? r equals negative 2 question mark
    6. − 2 negative 2
    7. 0
    8. 10
    9. 12
71. Roy's car gets an average gas mileage of 29 mi/gal. Roy starts his trip with the amount of gas shown. About how many gallons of gas are left at the end of his trip?

    

    1. 6 gal
    2. 7 gal
    3. 8 gal
    4. 9 gal

Mixed Review

See Lesson 2-2.

Solve each equation.

72. 3 y + 5 = − 10 3 y plus 5 equals negative 10
73. 4 x − 5 = 23 4 x minus 5 equals 23
74. − 3 a + 21 = 9 negative 3 eh plus 21 equals 9

See Lesson 1-4.

Name the property that each statement illustrates.

75. 4 + ( − 4 ) = 0 4 plus open negative 4 close equals 0
76. ( 5 · 6 ) · 2 = 5 · ( 6 · 2 ) open 5 middle dot 6 close middle dot 2 equals 5 middle dot open 6 middle dot 2 close
77. 7 · 0 = 0 7 middle dot 0 equals 0

See Lesson 1-7.

Get Ready! To prepare for Lesson 2-4, do Exercises 78–80.

Simplify each expression.

78. 7 y − 4 y 7 y minus 4 y
79. 4 y − 7 y 4 y minus 7 y
80. 7 y − 7 y 7 y minus 7 y

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