Cracking The SAT Premium

(Marvins-Underground-K-12) #1
18. 36 Plug in. Pick    any values  for the length, width,  and height  that    will    give    you a   volume  of  24.
If you say the length is 2, the height is 3, and the width is 4, then the new length, height, and
width will be 1, 9, and 4 respectively. The new volume is 36. No matter what numbers you
set for the initial length, width, and height, you will always get 36 for the new volume.

19. or  0.833

Distribute  the 6e  on  the left    side    of  the equation    and the 3e  on  the right   side    of  the equation
to get 6e^2 + 18e = 6e^2 + 12e + 5. Subtract 6e^2 from both sides of the equation to get 18e =
12 e + 5. Solve for e to get 6e = 5, so e = . The correct answer is .

20.     or  0.416   or  0.417

Start   by  calculating the amount  of  vitamin C   in  the entire  punch   bowl    and then    calculate
what the equivalent in only one cup would be. To maximize the amount of vitamin C in the
punch bowl, Abeena will need to add as much orange juice, which has the highest
concentration of vitamin C, as she can. Given that the punch bowl holds 9 quarts, she will
pour in 6 quarts of orange juice (which is all she has) and 3 quarts of grape juice. The
amount of vitamin C can be calculated as follows:

Therefore,  the 9   quarts  of  punch   contains    15  grams   of  vitamin C.  Next,   convert the quarts  to

cups.   The question    tells   us  that    there   are 4   cups    in  1   quart.  Therefore,  9   ×   4   =   36  cups    in  9

quarts. To  figure  out how much    vitamin C   is  in  one cup,    set up  the following   proportion: 

. Cross-multiply to get 36x = 15, or x = = . The correct answer


is   .  Only    reduce  a   fraction    if  it  is  necessary   to  make    it  fit in  the grid-in box.

Section 4: Math (Calculator)

1. A Whenever   the question    asks    for a   specific    value   and the answer  choices are numbers,    think
Plugging In the Answers. In (A), a = –0.75. Plug –0.75 in for a in the equation to get 16(–
0.75)^2 + 4(–0.75) – 6 = 0. Solve the left side of the equation to get 16(0.5625) + (–3) – 6 =
0, or 9 – 3 – 6 = 0. Since, this statement is true, the correct answer is (A).
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