C Challenge

60. Reasoning Which is the correct graph of − 3 < − x ? negative 3 less than negative x question mark  Explain.
    1. 
    2. 
    3. 
    4. 
61. Reasoning Give a counterexample for this statement: If x > y , x greater than y comma  then x 2 > y 2 . x squared , greater than , y squared , .
62. Reasoning Describe the numbers x and y such that if x > y , x greater than y comma  then x 2 = y 2 . x squared , equals , y squared , .

Graph on a number line.

63. all values of p such that p > − 3 p greater than negative 3  and p ≤ 3 p less than or equal to 3
64. all values of q such that q < − 2 q less than negative 2  or q > 5 q greater than 5

Standardized Test Prep

SAT/ACT

65. Which inequality has the same solutions as k > 6 ? k greater than 6 question mark
    1. k < − 6 k less than negative 6
    2. k < 6 k less than 6
    3. 6 < k 6 less than k
    4. − k > − 6 negative k greater than negative 6
66. What is the value of the expression 2 3 ⋅ 4 − ( − 3 ) 2 ( − 3 ) 2 + 4 ⋅ 5 ? fraction 2 cubed , dot 4 minus . open , negative 3 , close squared , over open , negative 3 , close squared . plus 4 dot 5 end fraction . question mark
    6. 23 29 23 over 29
    7. 41 29 41 over 29
    8. 23 11 23 over 11
    9. 41 11 41 over 11
67. Last season, Betsy scored 36 points. This is 8 less than twice the number of points that Amy scored. How many points did Amy score?
    1. 22
    2. 36
    3. 44
    4. 72

Short Response

68. At an airport, a runway 1263 ft long is being repaired. The project foreman reports that less than one third of the job is complete. Draw a diagram of the runway that shows how much of it has been repaired. What is an inequality that represents the number of feet f that still need to be repaired?

Mixed Review

See Lesson 2-10.

Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent.

69. original amount: $10

    new amount: $12

70. original amount: 20 in.

    new amount: 18 in.

71. original amount: 36°

    new amount: 12°

See Lesson 1-6.

Find each product or quotient.

72. − 4 ( − 11 ) negative 4 open negative 11 close
73. 5 6 ⋅ ( − 1 4 ) 5 sixths , dot . open , negative , 1 fourth , close
74. − 3.9 ÷ 1.3 negative 3.9 divides 1.3
75. 4 7 ÷ ( − 2 5 ) 4 sevenths , divides . open , negative , 2 fifths , close

Get Ready! To prepare for Lesson 3-2, do Exercises 76–79.

See Lesson 2-1.

Solve each equation.

76. y − 5 = 6 y minus 5 equals 6
77. p − 4 = − 6 p minus 4 equals negative 6
78. v + 5 = − 6 v plus 5 equals negative 6
79. k + 2 3 = 5 9 k plus , 2 thirds , equals , 5 ninths

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