Standardized Test Prep

SAT/ACT

44. A survey shows that 60% of adults floss their teeth every day. In a random sample of ten adults, what is the probability that exactly six adults floss every day?
    1. 11%
    2. 25%
    3. 60%
    4. 100%

45. Which of the statements about the following equation is correct? b 2 − 4 b + 3 b − 3 = b − 1 fraction b squared , minus 4 b plus 3 , over b minus 3 end fraction . equals b minus 1

    6. The equation is always true.
    7. The equation is always true, except when b = 3 . b equals 3 .
    8. The equation is never true.
    9. The equation is true when b = 3 . b equals 3 .
46. Which is the inverse of f ( x ) = ( x − 3 ) 2 ? f open x close equals . open x minus 3 close squared . question mark
    1. f − 1 ( x ) = x 2 ( 3 x − 1 ) 2 f super negative 1 end super , open x close equals . fraction x squared , over open 3 x minus 1 close squared end fraction
    2. f − 1 ( x ) = ± x + 3 f super negative 1 end super , open x close equals plus minus square root of x plus 3
    3. f − 1 ( x ) = 1 ( 3 x − 1 ) 2 f super negative 1 end super , open x close equals . fraction 1 , over open 3 x minus 1 close squared end fraction
    4. f − 1 ( x ) = ± x − 3 f super negative 1 end super , open x close equals plus minus , square root of x minus 3 end root
47. If log 4 ≈ 0.60206 log 4 almost equal to , 0.60206  and log 5 ≈ 0.69897 , log 5 almost equal to , 0.69897 , comma  what is the approximate value of log 80 ? log , 80 question mark
    6. 0.2534
    7. 0.2914
    8. 1.903
    9. 11.1835

Extended Response

48. In a geometric sequence, a 1 = 3 eh sub 1 , equals 3  and a 4 = 192 . eh sub 4 , equals 192 .  Explain how to find a 2 eh sub 2  and a 3 . eh sub 3 , .

Mixed Review

See Lesson 11-7.

Identify any bias in each survey question.

49. Do you agree that replacing that dog park with a beautiful new library would be better for our town?
50. Do you agree with the amendments to Proposition 39?

See Lesson 10-5.

Find the vertices, foci, and asymptotes of each hyperbola.

51. y 2 49 − x 2 25 = 1 fraction y squared , over 49 end fraction , minus , fraction x squared , over 25 end fraction , equals 1
52. 4 y 2 − 9 x 2 = 36 4 y squared , minus , 9 x squared , equals 36
53. 64 y 2 − 36 x 2 = 576 64 y squared , minus , 36 x squared , equals 576

See Lesson 11-3.

A standard number cube is tossed. Find each probability.

54. P(2 or greater than 3)
55. P(6 or even)
56. P(prime or 1)

Get Ready! To prepare for Lesson 11-9, do Exercises 57–60.

See Lessons 11-5 and 11-6.

Find the mean and standard deviation for each data set.

57. 16, 20, 28, 25, 26, 33, 27, 22, 29, 18
58. 8.5, 7.9, 8.2, 9.0, 8.3, 9.1, 9.2
59. 81, 78, 79, 80, 76, 88, 83, 90, 87, 76
60. 23.5, 22.4, 25.6, 26.8, 28.1, 22.3, 24.5

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