C Challenge

65. Construction A construction crew needs to install 550 ft of curbing along a street. The crew can install curbing at a rate of 32 ft/h. Yesterday the crew installed 272 ft of curbing. Today it wants to finish the job in at most 10 h, which includes a 15-min drive to the job, an hour lunch break, and 45 min to break down the equipment. Can the crew achieve its goal? Explain.
66. Reasoning Your friend says that the solution of 15 = 4 + 2t is between two consecutive integers, because 15 is an odd number and 4 and 2 are both even numbers. Explain your friend's reasoning.

Standardized Test Prep

SAT/ACT

67. Which equation is false?
    1. 2 3 + 1 ⋅ 1 2 = 7 6 2 thirds , plus 1 dot , 1 half , equals , 7 sixths
    2. 84 − 25 = 59 84 minus 25 equals 59
    3. 51 − ( − 57 ) = − 6 51 minus open negative 57 close equals negative 6
    4. 3 ( − 3 ) + 3 = − 6 3 open negative 3 close plus 3 equals negative 6
68. Which equation has a solution of 4?
    6. 0 = 8 + 2y
    7. 5x + 3 = 23
    8. 8 a − 10 = 42 8 eh minus 10 equals 42
    9. 2 t − 1 = 9 2 t minus 1 equals 9
69. At 7 p.m., the temperature is 6.8°C. Over the next 4 h, the temperature changes by the amounts shown in the table. What is the final temperature?

    Temperature Changes

    Time	Change in Temperature
    8 P.M.	− 0.4 º C negative 0.4 masculine ordinal indicator cap c
    9 P.M.	− 1.2 º C negative 1.2 masculine ordinal indicator cap c
    10 P.M.	− 1.3 º C negative 1.3 masculine ordinal indicator cap c
    11 P.M.	− 2.9 º C negative 2.9 masculine ordinal indicator cap c

    1. − 12.6 ° C negative , 12.6 , degrees cap c
    2. 3.9°C
    3. 1°C
    4. 5.8°C
70. Monique has ordered 32 pizzas to serve at the student government picnic. If each person will get 1 4 1 fourth  of a pizza, how many people will she be able to serve?
    6. 8
    7. 64
    8. 32
    9. 128

Mixed Review

See Lesson 1-7.

Use the Distributive Property to simplify each expression.

71. 7(4 + 2y)
72. − 6 ( 3 b + 11 ) negative 6 open 3 b plus 11 close
73. ( 8 + 2 t ) ( − 2.1 ) open 8 plus 2 t close open negative 2.1 close
74. ( − 1 + 5 x ) 5 open negative 1 plus 5 x close 5

Evaluate each expression for m = 4, n = − 1 , bold italic n equals negative 1 comma  and p = − 1 2 . bold italic p equals , negative , 1 half , .  See Lesson 1-6.

75. 2 m − 2 n 2 m minus 2 n
76. p m − n p m minus n
77. 6mp
78. 7 m ÷ ( − 4 n ) 7 m divides open negative 4 n close
79. 8 p − ( − 5 n ) 8 p minus open negative 5 n close
80. − 2 m − n negative 2 m minus n
81. − 1.5 m ÷ 6 p negative 1.5 m divides 6 p
82. 3 n 2 · ( − 10 p 2 ) 3 , n squared , middle dot open negative 10 , p squared , close

Get Ready! To prepare for Lesson 1-9, do Exercises 83–86.

See Lesson 1-8.

Use a table to find the solution of each equation.

83. 4 x − 1 = 7 4 x minus 1 equals 7
84. 0 = 10 + 10y
85. 5 1 2 = 7 − 1 2 b 5 , and 1 half , equals 7 minus , 1 half , b
86. 3 t − ( − 5.4 ) = 5.4 3 t minus open negative 5.4 close equals 5.4

Table of Contents