Cracking The SAT Premium

(Marvins-Underground-K-12) #1
,   which   is  (B).



  1. D If two patients are added to the trial, there will be 12 total patients. If the mean height of 12
    patients is 169 cm, then the 12 patients have a total height of 12 × 169 = 2,028 cm. The total
    height of the first 10 patients is 184 + 176 + 181 + 157 + 168 + 154 + 148 + 165 + 190 +
    162 = 1,685 cm, so the two new patients must have a total height of 2,028 – 1,685 = 343
    cm. Add up the heights and eliminate any choice that does not equal 343. Only (D) works.




  2. D Plugging in the given point to see which equation is true is not easy on this one, since both
    values have weird decimals. The answer choices are also likely written so that more than
    one that point, so try to find another point on the line. The x-intercept of a line is where the
    line crosses the x-axis. At that point, the value of y is 0. Therefore, (2, 0) is also a point on
    the line. Plug this point into the answers, since it is easier to calculate. If it works in more
    than one equation, plugging in the ugly point will determine the correct answer, which must
    work for both points work. Plug point (2, 0) into (A) to get 0 + 5.9 = 2.5(2). Solve both
    sides of the equation to get 5.9 = 5. Eliminate (A). Plug (2, 0) into (B) to get 4(0) + 12(2) =
    29.1. Solve both sides of the equation to get 4 + 24 = 29.1, or 28 = 29.1. Eliminate (B).
    Plug (2, 0) into (C) to get 6(0) + 27.15 = 12(2). Solve both sides of the equation to get 0 +
    27.15 = 24. Since this is clearly not a true statement, eliminate (C). Plug (2, 0) into (D) to
    get 10(0) – 13(2) = –26. Solve both sides of the equation to get –26 = –26. Since (D) is the
    only answer for which the point (2, 0) works, the correct answer is (D).




  3. B Whenever there are variables in the question and in the answers, think Plugging In. If P 0 =




4,  k   =   2,  and t   =   3,  then    P   =   (4)(10)^6   =   4,000,000.  Plug    these   values  into    the answer  choices

to  see which   answer  works.  Choice  (A) becomes 3   =    .  Simplify    the right

side    of  the equation    to  get 3   =    ,  then    3   =    ,  and finally 3   =   –3. This    isn’t

true,   so  eliminate   (A).    Choice  (B) becomes 3   =    .  Simplify    the right   side

of  the equation    to  get 3   =    ,  then    3   =    ,  and finally 3   =   3.  Keep    (B),    but

check    the     remaining   answer  choices     just    in  case.   Choice  (C)     becomes     3   =  

. Simplify the right side of the equation to get 3 = ,


or  3   ≈   3.6.    Eliminate   (C).    Choice  (D) becomes 3   =   2   log  .  Simplify    the right
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