15. Students were asked in a survey whether they had been to a movie theater in the last month. The table below shows the results.

    	Yes	No
    Male	35	17
    Female	28	20

    What is the probability that a student has not gone to the movies recently, given that the student is a male?

    1. 17 52 17 over 52
    2. 37 52 37 over 52
    3. 52 37 52 over 37
    4. 17 37 17 over 37
16. Which expression simplifies to 15?
    6. ( 5 + 3 ) ( 5 − 3 ) open 5 plus square root of 3 close open 5 minus square root of 3 close
    7. ( 2 3 − 1 ) ( 2 3 + 1 ) open 2 square root of 3 minus 1 close open 2 square root of 3 plus 1 close
    8. ( 6 + 3 2 ) ( 6 − 3 2 ) open 6 plus 3 square root of 2 close open 6 minus 3 square root of 2 close
    9. ( 2 6 − 3 ) ( 2 6 + 3 ) open 2 square root of 6 minus 3 close open 2 square root of 6 plus 3 close
17. What is the coefficient of x 2 y 4 x squared , y to the fourth  in the expansion of ( x + 2 y ) 6 ? open x plus 2 y close to the sixth . question mark
    1. 15
    2. 60
    3. 160
    4. 240

GRIDDED RESPONSE

18. What is the maximum value of the objective function P = 3 x + 4 y p equals 3 x plus 4 y  within the feasible region described by the constraints below?

    { x ≥ 0 , y ≥ 0 x + y ≤ 4 2 x + y ≤ 5 left brace . table with 3 rows and 1 column , row1 column 1 , x greater than or equal to 0 comma y greater than or equal to 0 , row2 column 1 , x plus y less than or equal to 4 , row3 column 1 , 2 x plus y less than or equal to 5 , end table

19. What is the discriminant of 2 x 2 − 5 x + 3 = 0 ? 2 x squared , minus 5 x plus 3 equals 0 question mark
20. What is the sum of the solutions to the equation x 2 x squared   = 2 x + 15 ? equals 2 x plus 15 question mark
21. Solve log 7 x = log 3 10 . log base 7 , x equals , log base 3 , 10 .  Round your answer to the nearest tenth.
22. Evaluate ∑ n = 1 8 3 n 2 . sum , from , n equals 1 , to , 8 , of . fraction 3 n , over 2 end fraction . .
23. For a school play, six 9th graders and six 10th graders volunteer to be ushers. If two ushers are chosen at random by drawing names from a bowl, what is the probability that both ushers will be 10th graders? Write your answer as a fraction.
24. What is the radius of the circle with equation x 2 − 6 x + y 2 − 4 y − 12 = 0 ? x squared , minus 6 x plus , y squared , minus 4 y minus 12 equals 0 question mark  If necessary, round your answer to the nearest hundredth.
25. Suppose x and y vary inversely and x = 4 x equals 4  when y = 9 . y equals 9 .  What is x when y = 12 ? y equals 12 question mark

Short Response

26. An employer is selecting 4 out of 30 workers as employees of the month.
    1. Does this situation involve a combination or a permutation? Explain.
    2. How many different selections are possible?
27. Solve the equation x 6 = x + 4 9 . x over 6 , equals . fraction x plus 4 , over 9 end fraction . .  Check your solution. Show your work.
28. State the property or properties used to justify the identity 9 log 3 − 3 log 9 = log 27 . 9 log 3 minus 3 log 9 equals log , 27 .
29. Find all asymptotes of the graph of y = 3 x 2 + 1 x 2 + 2 x − 3 . y equals . fraction 3 , x squared , plus 1 , over x squared , plus 2 x minus 3 end fraction . .

Extended Response

30. Find the vertices, intercepts, asymptotes, and foci of the hyperbola x 2 16 − y 2 9 = 1 . fraction x squared , over 16 end fraction , minus , fraction y squared , over 9 end fraction , equals 1 . .
31. Is the series 10,000 + 1000 + 100 + 10 + … arithmetic or geometric? Find the sum of the first eight terms.

32. Find the mean, median, and mode for the following set of values.

    13 12 15 18 14 16 18 12 13 14 14 17 15 8 17 16

    12 16 14 15 13 13 17 15 14 18 16 12 12 13

    Then make a box-and-whisker plot.

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