10. If log 4 ≈ 0 . 060205 log 4 almost equal to 0 . , 060205  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
11. Which function is the inverse of f ( x ) = 2 x − 1 ? f open x close equals . 2 super x minus 1 end super . question mark
    1. f − 1 ( x ) = log 2 ( x + 1 ) f super negative 1 end super , open x close equals , log base 2 , open x plus 1 close
    2. f − 1 ( x ) = log 2 ( x − 1 ) f super negative 1 end super , open x close equals , log base 2 , open x minus 1 close
    3. f − 1 ( x ) = log 2 x − 1 f super negative 1 end super , open x close equals , log base 2 , x minus 1
    4. f − 1 ( x ) = log 2 x + 1 f super negative 1 end super , open x close equals , log base 2 , x plus 1
12. Which parabola has focus (3, 0) and directrix x = − 3 ? x equals negative 3 question mark
    6. y = 1 12 x 2 y equals , 1 twelfth , x squared
    7. x = 1 12 y 2 x equals , 1 twelfth , y squared
    8. y = − 1 3 x 2 y equals negative , 1 third , x squared
    9. x = 1 3 y 2 x equals , 1 third , y squared
13. What is the 30th term of the sequence 7, 16, 25, 34, …?
    1. 261
    2. 268
    3. 270
    4. 277

14. Which expression represents the sum of the arithmetic series below?

    13, 16, 19, 22, 25, 28, 31

    6. 7 2 ( 13 + 31 ) 7 halves . open , 13 plus 31 , close
    7. 7(13 + 31)
    8. 4 + 3 ( n + 2 ) 4 plus 3 open n plus 2 close
    9. 7 2 ( 13 − 3 ) 7 halves . open , 13 minus 3 , close
15. A and B are independent but not mutually exclusive events. If P ( A ) = 1 4 p open eh close equals , 1 fourth  and P ( B ) = 1 5 , p open b close equals , 1 fifth , comma  what is P(A and B)?
    1. 1 20 1 twentieth
    2. 1 9 1 ninth
    3. 2 11 2 elevenths
    4. 2 9 2 ninths

16. Solve [ 5 − 3 2 − 1 ] [ x y ] = [ 2 1 ] . . matrix with 2 rows and 2 columns , row1 column 1 , 5 , column 2 negative 3 , row2 column 1 , 2 , column 2 negative 1 , end matrix , matrix with 2 rows and 1 column , row1 column 1 , x , row2 column 1 , y , end matrix . equals , matrix with 2 rows and 1 column , row1 column 1 , 2 , row2 column 1 , 1 , end matrix . .

    6. (1, 1)
    7. ( − 2 , − 4 ) open negative 2 comma negative 4 close
    8. (2, 3)
    9. ( − 2 , 1 ) open negative 2 comma 1 close

GRIDDED RESPONSE

17. Let f ( x ) = 2 x 2 + 3 x − 1 f open x close equals , 2 x squared , plus 3 x minus 1  and g ( x ) = x − 1 . g open x close equals x minus 1 .  Evaluate ( g · f ) ( 2 ) . open g middle dot f close open 2 close .
18. How many roots does the equation 2 x 2 + 1 x = 0 fraction 2 , over x squared end fraction , plus , 1 over x , equals 0  have?
19. A box has 10 items inside. What is the number of combinations possible when selecting 3 of the items?
20. What is the value of det [ 7 − 1 3 2 ] ? . matrix with 2 rows and 2 columns , row1 column 1 , 7 , column 2 negative 1 , row2 column 1 , 3 , column 2 2 , end matrix . question mark

Short Response

21. Describe the vertical asymptotes and holes for the graph of the function y = 3 x 2 − 2 x − 1 x 2 − 1 . y equals . fraction 3 , x squared , minus 2 x minus 1 , over x squared , minus 1 end fraction . .
22. What is an equation of an ellipse with height 2 meters and width 4 meters? Assume that the center of the ellipse is (0, 0).
23. What are the asymptotes of the graph of y = x − 3 x 2 − 2 x − 15 ? y equals . fraction x minus 3 , over x squared , minus 2 x minus 15 end fraction . question mark
24. Use the binomial theorem to find the third term in the expansion of ( 3 a − 4 ) 5 . open 3 eh minus 4 close to the fifth . .

Extended Response

25. In a geometric sequence, a 1 = 3 eh sub 1 , equals 3  and a 5 = 768 . eh sub 5 , equals 768 .  Explain how to find a 2 eh sub 2  and a 3 . eh sub 3 , .

26. A dietician wants to prepare a meal with 24 g of protein, 27 g of fat, and 20 g of carbohydrates using the three foods shown in the table.

    Food	Protein	Fat	Carbohydrates
    A	2 g/oz	3 g/oz	4 g/oz
    B	3 g/oz	3 g/oz	1 g/oz
    C	3 g/oz	3 g/oz	2 g/oz

    1. Set up a matrix equation for the data.
    2. Solve the matrix equation.
    3. How many ounces of each food are needed?

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