Standardized Test Prep

Use the table for Exercises 34–35. A school library classifies its books as hardback or paperback, fiction or nonfiction, and illustrated or non-illustrated.

SAT/ACT

34. What is the probability that a book selected at random is a paperback, given that it is illustrated?
    1. 260 3610 260 over 3610
    2. 150 1270 150 over 1270
    3. 260 1270 260 over 1270
    4. 110 150 110 over 150
35. What is the probability that a book selected at random is nonfiction, given that it is a non-illustrated hardback?
    6. 250 2040 250 over 2040
    7. 780 1030 780 over 1030
    8. 250 1030 250 over 1030
    9. 250 780 250 over 780
36. Which of the following expressions is equivalent to 3 ( n − 3 ) ( n + 4 ) ? 3 open n minus 3 close open n plus 4 close question mark
    1. 3 n 2 + 3 n − 36 3 n squared , plus 3 n minus 36
    2. 3 n 2 − 3 n + 36 3 n squared , minus 3 n plus 36
    3. 3 n 2 − 3 n − 36 3 n squared , minus 3 n minus 36
    4. 3 n 2 − 36 3 n squared , minus 36

Short Response

37. What is the sample space for spinning the spinner twice? Are all the outcomes equally likely?

Mixed Review

See Lesson 11-3.

Q and R are independent events. Find P(Q and R).

38. P ( Q ) = 3 4 ; P ( R ) = 4 9 p open q close equals , 3 fourths , semicolon p open r close equals , 4 ninths
39. P ( Q ) = 17 20 ; P ( R ) = 5 19 p open q close equals , 17 over 20 , semicolon p open r close equals , 5 nineteenths

See Lesson 10-2.

Write an equation of a parabola with the given vertex and focus.

40. vertex (5, 2); focus (6, 2)
41. vertex ( − 2 , 3 ) ; open negative 2 comma 3 close semicolon  focus ( − 2 , 6 ) open negative 2 comma 6 close

See Lesson 7-5.

Solve each equation. If necessary, round to the nearest thousandth.

42. 2 x = 4 2 to the x , equals 4
43. 4 2 x = 10 4 super 2 x end super , equals 10
44. 4 x + 1 = 28 4 super x plus 1 end super . equals 28
45. 7 − 3 x = − 38 7 minus , 3 to the x , equals negative 38

Get Ready! To prepare for Lesson 11-5, do Exercises 46–47.

See Lesson 1-2.

Order each set of values from least to greatest. Then find the middle value.

46. 0.2 0.3 0.6 1.2 0.7 0.9 0.8
47. 11 23 15 17 21 18 21

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