15. Which equation represents a circle with center ( − 3 , 8 ) open negative 3 comma 8 close  and radius 12?
    1. ( x − 8 ) 2 + ( y + 3 ) 2 = 144 open x minus 8 close squared . plus . open y plus 3 close squared . equals 144
    2. ( x − 8 ) 2 − ( y + 3 ) 2 = 144 open x minus 8 close squared . minus . open y plus 3 close squared . equals 144
    3. ( x + 3 ) 2 + ( y − 8 ) 2 = 144 open x plus 3 close squared . plus . open y minus 8 close squared . equals 144
    4. ( x − 3 ) 2 − ( y − 8 ) 2 = 144 open x minus 3 close squared . minus . open y minus 8 close squared . equals 144
16. Which is equivalent to i 6 ? i to the sixth , question mark
    6. i
    7. − i negative i
    8. 1
    9. − 1 negative 1
17. What is the distance of 4 − 5 i 4 minus 5 i  from the origin?
    1. 9 units
    2. 41  units square root of 41 , units
    3. 3 units
    4. 1 unit
18. Which is equivalent to 2 9 = 512 ? 2 to the ninth , equals 512 question mark
    6. log 512 2 = 9 log base 512 , 2 equals 9
    7. log 2 512 = 9 log base 2 , 512 equals 9
    8. log 2 9 = 512 log base 2 , 9 equals 512
    9. log 9 512 = 2 log base 9 , 512 equals 2
19. The first term of a finite arithmetic series is 123. The common difference is 12 and the sum is 1539. How many terms are in the series?
    1. 7
    2. 8
    3. 9
    4. 10
20. What is the inverse matrix of [ 2 1 − 3 − 2 ] ? . matrix with 2 rows and 2 columns , row1 column 1 , 2 , column 2 1 , row2 column 1 , negative 3 , column 2 negative 2 , end matrix . question mark
    6. [ 2 − 3 1 − 2 ] . matrix with 2 rows and 2 columns , row1 column 1 , 2 , column 2 negative 3 , row2 column 1 , 1 , column 2 negative 2 , end matrix
    7. [ 2 1 − 3 − 2 ] . matrix with 2 rows and 2 columns , row1 column 1 , 2 , column 2 1 , row2 column 1 , negative 3 , column 2 negative 2 , end matrix
    8. [ − 2 − 1 3 2 ] . matrix with 2 rows and 2 columns , row1 column 1 , negative 2 , column 2 negative 1 , row2 column 1 , 3 , column 2 2 , end matrix
    9. [ 2 − 1 3 − 2 ] . matrix with 2 rows and 2 columns , row1 column 1 , 2 , column 2 negative 1 , row2 column 1 , 3 , column 2 negative 2 , end matrix

GRIDDED RESPONSE

21. What is the determinant of [ 5 − 3 4 1 ] ? . matrix with 2 rows and 2 columns , row1 column 1 , 5 , column 2 negative 3 , row2 column 1 , 4 , column 2 1 , end matrix . question mark
22. A periodic function has an amplitude of 14 and a minimum value of − 3 . negative 3 .  What is its maximum value?
23. Suppose y varies directly with the square of x. If y = 20 y equals 20  when x = 3 , x equals 3 comma  what is | x | absolute value of x ,  when y = 80 ? y equals 80 question mark
24. What is the solution to the equation 7 2 x = 75 7 super 2 x end super , equals 75  to the nearest hundredth?

Short Response

25. Find all asymptotes of the graph of y = 3 x 2 − 5 x − 2 x 2 + 2 x − 8 . y equals . fraction 3 , x squared , minus 5 x minus 2 , over x squared , plus 2 x minus 8 end fraction . .

26. Using Pascal's Triangle, what is the expansion of ( r − 3 ) 4 ? open r minus 3 close to the fourth . question mark

    1 1   1 1   2   1 1   3   3   1 1   4   6   4   1 table with 5 rows and 1 column , row1 column 1 , 1 , row2 column 1 , 1 1 , row3 column 1 , 1 2 1 , row4 column 1 , 1 3 3 1 , row5 column 1 , 1 4 6 4 1 , end table

27. What is the directrix of the graph of 6 x = x 2 + 8 y + 9 ? 6 x equals , x squared , plus 8 y plus 9 question mark

Extended Response

28. The table shows the values of an investment after the given number of years of continuously compounded interest.

    Years	0	1	2	3
    Value	$750.00	$780.61	$812.47	$845.62

    1. What is the rate of interest?
    2. Write an equation to model the growth of the investment.
    3. To the nearest year, when will the investment be worth more than $1000?
29. In a geometric sequence, a 1 = 8 eh sub 1 , equals 8  and a 4 = 27 . eh sub 4 , equals 27 .  Explain how to find a 7 . eh sub 7 , .
30. Find all values of θ between − π negative pi  and 2π for which cos θ = 3 sin θ . cosine theta equals square root of 3 sine theta .  Show your work.

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