9. What are the coordinates of the foci of the graph of 4 x 2 − 24 x = 64 − 25 y 2 ? 4 x squared , minus 24 x equals 64 minus 25 , y squared , question mark
   1. ( 21 − 3 , 0 ) , ( 21 + 3 , 0 ) open . square root of 21 minus 3 comma 0 . close . comma . open . square root of 21 plus 3 comma 0 . close
   2. ( 0 , 21 − 3 ) , ( 0 , 21 + 3 ) open . 0 comma square root of 21 minus 3 . close . comma . open . 0 comma square root of 21 plus 3 . close
   3. ( 3 − 21 , 0 ) , ( 3 + 21 , 0 ) open . 3 minus square root of 21 comma 0 . close . comma . open . 3 plus square root of 21 comma 0 . close
   4. ( 0 , 3 − 21 ) , ( 0 , 3 + 21 ) open . 0 comma 3 minus square root of 21 . close . comma . open . 0 comma 3 plus square root of 21 . close

10. Which is the first incorrect step in simplifying?

    4 ( x − 1 ) − 1 ( x 2 + 3 x − 4 ) fraction 4 , over open , x minus 1 , close super negative 1 end super . open . x squared , plus 3 x minus 4 . close end fraction

    Step 1: 4 ( x − 1 ) x 2 + 3 x − 4 fraction 4 . open , x minus 1 , close , over x squared , plus 3 x minus 4 end fraction

    Step 2: 4 ( x − 1 ) ( x + 4 ) ( x − 1 ) fraction 4 . open , x minus 1 , close , over open , x plus 4 , close . open , x minus 1 , close end fraction

    Step 3: 4 ( x − 1 ) ( x + 4 ) ( x − 1 ) ÷ x − 1 x − 1 fraction 4 . open , x minus 1 , close , over open , x plus 4 , close . open , x minus 1 , close end fraction . divides . fraction x minus 1 , over x minus 1 end fraction

    Step 4: 4 x + 4 ÷ 4 4 = 1 x fraction 4 , over x plus 4 end fraction . divides , 4 fourths , equals , 1 over x

    6. Step 1
    7. Step 2
    8. Step 3
    9. Step 4
11. What is the distance between the foci of the ellipse with the equation x 2 36 + ( y − 2 ) 2 100 = 1 ? fraction x squared , over 36 end fraction , plus . fraction open , y minus 2 , close squared , over 100 end fraction . equals 1 question mark
    1. 4
    2. 8
    3. 12
    4. 16
12. Which of the following is the graph of the quadratic parent function?
    6. 
    7. 
    8. 
    9. 
13. Which conic section is represented by the equation x 2 + y 2 = 6 x − 14 y − 9 ? x squared , plus , y squared , equals 6 x minus 14 y minus 9 question mark
    1. circle
    2. parabola
    3. ellipse
    4. hyperbola
14. If x is a real number, for what values of x is the equation ( 3 x − 6 ) ( x − 2 ) − 1 = 3 open 3 x minus 6 close . open x minus 2 close super negative 1 end super . equals 3  true?
    6. all values of x
    7. some values of x
    8. no values of x
    9. impossible to determine

GRIDDED RESPONSE

15. What is the value of 1 − 1 8 2 − 3 4 ? fraction 1 minus , 1 eighth , over 2 minus , 3 fourths end fraction . question mark
16. A copy center charges $4.26 to make 71 copies. At that rate, how much will the copy center charge for 165 copies?
17. What is the y-coordinate of the y-intercept of the line with equation − 6 x − 2 y = 7 ? negative 6 x minus 2 y equals 7 question mark
18. What is the distance between ( − 3 , 2 ) open negative 3 comma 2 close  and ( 5 , − 4 ) ? open 5 comma negative 4 close question mark

Short Response

19. Write an explicit formula for the geometric sequence for which a 1 = − 5 eh sub 1 , equals negative 5  and r = 3 . r equals 3 .  Then generate the first five terms.
20. Write the expression 35 x 3 24 ÷ 5 x 16 fraction 35 , x cubed , over 24 end fraction . divides , fraction 5 x , over 16 end fraction  in simplest form.
21. Find the zeros of the function y = x 2 − 2 x . y equals , x squared , minus 2 x .  Show your work.

Extended Response

22. Suppose you put $10,000 in an account that pays 6.5% annual interest compounded continuously. How much will be in the account after one year? After five years?
23. Explain how to graph y = x − 3 y equals square root of x minus 3  by translating the graph of y = x . y equals square root of x .
24. Find a nonzero value for k such that the equation k x 2 − k , x squared , minus   10 x + 25 = 0 10 x plus 25 equals 0  has one solution. Show your work.
25. Explain when the function y = a · b x y equals eh middle dot , b to the x  models exponential growth and when it models exponential decay.

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