49. Multiple Choice Which expression gives the value in dollars of d dimes?
    1. 0.10d
    2. 0.10 + d 0.10 , plus d
    3. 0.10 d 0.10 over d
    4. 10d

Open-Ended Describe a real-world situation that each expression might model. Tell what each variable represents.

50. 5t
51. b + 3 b plus 3
52. 40 h 40 over h

C Challenge

53. Reasoning You write ( 5 − 2 ) ÷ n open 5 minus 2 close divides n  to represent the phrase 2 less than 5 divided by a number n. Your friend writes ( 5 ÷ n ) − 2 . open 5 divides n close minus 2 .  Are these both reasonable interpretations? Can verbal descriptions lack precision? Explain.

Write two different expressions that could each represent the given diagram.

Standardized Test Prep

SAT/ACT

56. What is an algebraic expression for 2 less than the product of 3 and a number x?
    1. 3 x − 2 3 x minus 2
    2. ( 3 − 2 ) x open 3 minus 2 close x
    3. 3 − 2 x 3 minus 2 x
    4. 2 − 3 x 2 minus 3 x
57. Which word phrase can you use to represent the algebraic expression n ÷ 8 ? n divides 8 question mark
    6. the product of a number n and 8
    7. the quotient of a number n and 8
    8. the difference of a number n and 8
    9. the quotient of 8 and a number n
58. A state park charges an entrance fee plus $18 for each night of camping. The table shows this relationship. Which algebraic expression describes the total cost of camping for n nights?
    1. 20 n + 18 20 n plus 18
    2. 18 n + 20 18 n plus 20
    3. 18 n + 20 n 18 n plus 20 n
    4. 18 n − 20 18 n minus 20

    Camping

    Nights	Total Cost
    1	( $ 18 × 1 ) + $ 20 open dollars 18 times 1 close plus dollars 20
    2	( $ 18 × 2 ) + $ 20 open dollars 18 times 2 close plus dollars 20
    3	( $ 18 × 3 ) + $ 20 open dollars 18 times 3 close plus dollars 20
    n	□ white square

Mixed Review

See p. 791.

Find each sum or difference. Write each answer in simplest form.

59. 1 4 + 1 2 1 fourth , plus , 1 half
60. 9 14 − 2 7 9 fourteenths , minus , 2 sevenths
61. 2 5 + 3 10 2 fifths , plus , 3 tenths
62. 5 6 − 2 3 5 sixths , minus , 2 thirds

Get Ready! To prepare for Lesson 1–2, do Exercises 63–66.

See p. 787.

Find the greatest common factor of each pair of numbers.

63. 3 and 6
64. 12 and 15
65. 7 and 11
66. 8 and 12

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