83. Open-Ended Suppose you used the Distributive Property to get the expression 3 m − 6 n − 15 . 3 m minus 6 n minus 15 .  With what expression could you have started?

C Challenge

84. Writing Your friend uses the order of operations to find the value of 11 ( 39 − 3 ) . 11 open 39 minus 3 close .  Would you prefer to use the Distributive Property instead? Explain.

    Simplify each expression.

85. 5 ( 2 d + 1 ) + 7 ( 5 d + 3 ) 5 open 2 d plus 1 close plus 7 open 5 d plus 3 close
86. 6 ( 4 t − 3 ) + 6 ( 4 − 3 t ) 6 open 4 t minus 3 close plus 6 open 4 minus 3 t close
87. 9 ( 5 + t ) − 7 ( t + 3 ) 9 open 5 plus t close minus 7 open t plus 3 close
88. 4 ( r + 8 ) − 5 ( 2 r − 1 ) 4 open r plus 8 close minus 5 open 2 r minus 1 close
89. − ( m + 9 n − 12 ) negative open m plus 9 n minus 12 close
90. − 6 ( 3 − 3 x − 7 y ) + 2 y − x negative 6 open 3 minus 3 x minus 7 y close plus 2 y minus x

Standardized Test Prep

SAT/ACT

91. What is the simplified form of the expression 2 ( 7 c − 1 ) ? 2 open 7 c minus 1 close question mark
    1. 14 c − 1 14 c minus 1
    2. 9 c − 3 9 c minus 3
    3. 14 c − 2 14 c minus 2
    4. 9 c − 1 9 c minus 1
92. You have already traveled 2.3 mi in a canoe. You continue to travel 0.1 mi each minute. The expression 0.1m + 2.3 gives the distance traveled (in miles) after m minutes. What is your distance traveled after 25 min?
    6. 2.5 mi
    7. 2.55 mi
    8. 4.8 mi
    9. 27.3 mi
93. The table below shows the depth several submersible vehicles can reach. Which of the submersibles are capable of diving to 12,500 ft?

    Depth of Submersibles

    Submersible	Depth (ft)
    Alvin	14,764
    Clelia	1000
    Mir I	20,000
    Pisces V	6280

    SOURCE: National Oceanic and Atmospheric Administration

    1. Clelia and Pisces V
    2. Alvin, Clelia, and Pisces V
    3. Alvin and Mir I
    4. Mir I
94. Which expression gives the value in dollars of n nickels?
    6. 0.05n
    7. 0.05 + n
    8. 0.5n
    9. 5n

Mixed Review

See Lesson 1-6.

Find each product.

95. − 5 2 negative , 5 squared
96. ( − 3 4 ) 2 open , negative , 3 fourths , close squared
97. ( − 1.2 ) 2 open negative 1.2 close squared

Get Ready! To prepare for Lesson 1-8, do Exercises 98–100.

See Lesson 1-1.

Write a word phrase for each algebraic expression.

98. x − 10 x minus 10
99. 5 x − 18 5 x minus 18
100. 7 y + 12 7 over y , plus 12

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