C Challenge

68. Writing Are there two integers with a product of − 12 negative 12  and a sum of − 3 ? negative 3 question mark  Explain.
69. Your friend used the Distributive Property and got the expression 5 x + 10 y − 35 . 5 x plus 10 y minus 35 .  What algebraic expression could your friend have started with?
70. Geometry π is an irrational number you can use to calculate the circumference or area of a circle.
    1. Find the value of π on your calculator. Can you obtain an exact representation? Explain.
    2. The value of π is often represented as 22 7 . 22 over 7 , .  How does this representation compare to the decimal representation your calculator gives using the π key?
71. Does zero have a multiplicative inverse? Explain.

Standardized Test Prep

SAT/ACT

72. Which of the following shows the numbers π, 8 , square root of 8 comma  and 3.5 in the correct order from greatest to least?
    1. π, 8 , square root of 8 comma  3.5
    2. 3.5, π, 8 square root of 8
    3. 8 , square root of 8 comma  π, 3.5
    4. 8 , square root of 8 comma  3.5, π
73. Which of the following is the best statement about the graph?

    

    6. A 400-minute plan costs $40.
    7. A 100-minute plan costs $10.
    8. A 1000-minute plan costs $110.
    9. A 200-minute plan costs $35.

Short Response

74. Why is the opposite of the reciprocal of 5 the same as the reciprocal of the opposite of 5?

Mixed Review

See Lesson 1-1.

Identify a pattern and find the next three terms in the pattern.

75. 4, 8, 12, 16, …
76. 8, 9, 10, 11, …
77. − 4 , − 3 , − 2 , − 1 , … negative 4 comma negative 3 comma negative 2 comma negative 1 comma dot dot dot

Get Ready! To prepare for Lesson 1-3, do Exercises 78–83.

See p. 967.

Use the order of operations to simplify each expression.

78. 3 ÷ 4 + 6 ÷ 4 3 divides 4 plus 6 divides 4
79. 5 [ ( 2 + 5 ) ÷ 3 ] 5 left bracket open 2 plus 5 close divides 3 right bracket
80. 8 + 5 × 2 12 fraction 8 plus 5 times 2 , over 12 end fraction
81. ( 40 + 24 ) ÷ 8 − ( 2 2 − 1 ) open 40 plus 24 close divides 8 minus open , 2 squared , minus 1 close
82. 40 + 24 ÷ 8 − 2 2 − 1 40 plus 24 divides 8 minus , 2 squared , minus 1
83. ( 40 + 24 ) ÷ ( 8 − 2 2 ) − 1 open 40 plus 24 close divides open 8 minus , 2 squared , close minus 1

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