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                                   Practice Drill-I
                                                                           Total Questions: 15
                                                                         Total Time: 25 Mins
                                            O           B
                                                         3
1. In the figure above, circle O has radius r and AB      r . What is the distance in terms of r
                                                         2
   of AB from the center of the circle?
          3
      A. r
          8
              7
       B.       r
             4
              5
       C.       r
             4
                7r
       D.
                8
2. If t ties cost d dollars, how many dollars would t  1 ties cost?
        A. d  1
               dt
        B.
             t 1
             d t
        C.
              t 1
             d (t  1)
        D.
                  t
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3.
4.
5.
            51
6. If x         , which of the following could be the value of x 2  5 ?
          x  14
      A. 3
      B. 19
      C. 56
      D. 294
                                              
7. 2 4n 3  2n 2  n  8  3  7 n 3  2n 2  5n  9 
         A.  13n 3  10n 2  17 n  11
         B.  13n 3  10n 2  17 n  11
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          C. 29n 3  10n 2  17 n  11
        D. 29n 3  10n 2  17 n  11
8. Chinua is selling lemonade at a stand in front of his home. Each day, Chinua’s net profit
   or loss on sales after deducting the cost of supplies and ingredients is equal to $0.50g-
   $15, where g represents the number of glasses of lemonade sold that day. If Chinua sold
   50 glasses of lemonade on Monday, 20 glasses of lemonade on Tuesday, and 60 glasses
   of lemonade on Wednesday, which of the following expresses Chinua’s total profit, in
   dollars, over all three days?
        A. 20
        B. 30
        C. 40
        D. 50
9. Natalia is joining an online music service that charges a monthly membership fee of
   $5.95. a tax of 9% is applied to the monthly membership fee, and an additional one-time
   initiation fee of $15 is charged at the beginning of the membership. Which of the
   following represents Natalia’s total charge, in dollars, for a membership lasting m
   months?
        A. 1.095.95m  15
          B. 1.095.95m   15
          C. 1.09m5.95  15
          D. 0.09m5.95  15
10.                                   x 2  y 2  125
                                         y  2 x
      If  x, y  is a solution to the system of equation above, what is the positive value of x ?
11. Which of the following represents the expression 189  rewritten in the form
                                                                 x
      F  G 2 x  2  ?
          A. 2  2 2 x  2 
          B. 3  2 2 x  2 
          C. 2  32 x  2 
          D. 3  32 x  2 
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12.                            L             M
                          N                   O
      The semicircle above has a radius r  2 . If chord LM is parallel to diameter NO , which
      of the following could be the length of LM ?
               3
          A. r
               2
          B. r 2
               5
          C.     r
               2
        D. 5r
13. The cost to ship a package with a certain shipping company is $13 when the package
    weighs 20 pounds. With a weight of 30 pounds, the package costs $17 to ship. If the cost
    increases at a constant rate as the weight of the package increases, which of the following
    linear models best describes the cost c in dollars to ship a package weighing p pounds?
                1
         A. c      p  6 .5
                4
                2
         B. c      p
                5
                2
         C. c      p5
                5
                5
         D. c      p5
                2
       x2  7x
14. If           10 and x  0, what is the value of x  8 ?
          6
        A. -5
        B. 3
        C. 13
        D. 20
15. Nathan wants to give one noisemaker and one horn to each guest at his New Year’s Eve
    party. If noisemakers cost 40 cents each and horns cost 35 cents each, and Nathan has
    only $20 to spend in total on noisemakers and horns, what is the maximum number of
    guests Nathan can have at his party?
        A. 23
        B. 24
        C. 25
        D. 26
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