The Official October 2012 Sat Subject Test Math Level 2 Thread

<p>. log(pr^2) = 11 can someone explain this and Number of zeros of f(x)*g(x) ANS: 2, 3, or 4</p>

<p>@ihatesatmath
youre given log p = 5 and logr = 3
logr^2 = 2logr = 6
logpr^2 = 5 + 6 =11</p>

<p>youre given that f(x) and g(x) each have two distinct roots and that they are not equal at at least one point</p>

<p>“youre given that f(x) and g(x) each have two distinct roots and that they are not equal at at least one point” does that mean that the answer is only 4?</p>

<p>For the 3, 4, 5 sphere question, does anyone remember what answer choice was 6?</p>

<p>I remember putting B, but i don’t remember whether that was 6…</p>

<p>Also, same thing with the standard deviation question</p>

<p>Was answer choice E more than 99%?</p>

<p>seeing as they usually order the choices from smallest to highest, yes E was 99%</p>

<p>i got 15.5 for the sum of the rectangles question, really not getting how everyone else got 21.0. pretty sure the graph touched the first rectangle at f(2), and then f(4) and f(6).</p>

<p>chillin ,the graph was overestimated by the rectangles, so the x values are 4,6,and 8</p>

<p>Do you guys think PR or Barrons prepared you for the test?</p>

<p>Barrons prepared me well. As far as I know I only got one wrong.</p>

<p>Damn, I abused this test. 49 raw score, because I was too lazy to graph that population thing and it looked like a parentheses waste of brainpower. And you guys are straight up wrong about the 3d coordinate plotting. Joejacobs95, haha nice name, is right on. Think of the xyz planes in the context of z being the corner of a room, up toward the ceiling and down under the floor. Then, x is a horizontal length of floor against the wall, as y is vertical length of floor against wall. If there are 2 points, one 5 units above xy plane and one 5 units below xy plane centered on the z axis, any point on the xy square plane is equidistant. Just think about it logically. Therefore, x=0 y=0.</p>

<p>… For populations the same, I got 4, well that is at least on the interval from 2004 until slightly after this month and it stopped being the same about 3 years after anyways… Must’ve matched up farther down the road beyond 2012 then…</p>

<p>I skipped the cone thing and the conic thing (more busy complete the square and play around with problems I do know how to do but will take up time) and all 3 of the statistics related problems… GRRRRR YET TO TAKE STATISTICS YET!
Hopefully curve is in my favor :P</p>

<p>@benevolent4them
But then that doesn’t restrict z from equalling 5 and you know which one is closer now.</p>

<p>@benevolent4them
At first I was confused about z=0 too. I also put x=0, y=0.
But if you think about it, because the two points are equal distances from the xy plane, consider the location (1,1,0). It will be the same distance from both points because as long as z=0, it isn’t closer to the first or second point. Therefore x and y don’t have to equal zero, but z must equal 0.</p>

<p>Say you have the point (0,0,7). x and y are 0, but the z=7 makes it 2 units from one point and 12 from the other.</p>

<p>Just my thinking after some time away from the test.</p>

<p>Yea, no need to sound so arrogant about your wrong answer, benevolent4them. You had the right thinking until the very end, where suddenly you were misled to believing that the logic pointing to z=0 pointed to x=0, y=0.</p>

<p>but isn’t the set of points equidistant from (0,0,1) and (0,0,-1) the xy plane?</p>

<p>Yes, but if it’s the xy plane, then that means all values of x and y, with z remaining constant. </p>

<p>We can relate this to a 2d problem. The x axis is indeed a line composed of all x values, but a constant y. That’s why a horizontal line is y=a.</p>

<p>Guys, add to the list if you can:</p>

<ol>
<li>F(x)=ax^3+bx^2 ANS: range is all reals and two distinct zeros (I and III only)</li>
<li>F(a+1)=-1, F(a)=0,… ANS: -1</li>
<li>Mean = 74, standard deviation =2 ANS: above the 99th percentile</li>
<li>Lowest score dropped; 95 on last test ANS: mean (I only)</li>
<li>Number of times the populations the same ANS: 6</li>
<li>Cone volume ANS:14.3</li>
<li>Lowest value of 3+cosA ANS: 3.71</li>
<li>Number of zeros of f(x)*g(x) ANS: 2, 3, or 4</li>
<li>64/25</li>
<li>stamping time if combined = 27 hours</li>
<li>(-2, 5) center of conic</li>
<li>interval -1 < x < -2</li>
<li>recursive sequence = 2^16</li>
<li>odd function is tan(x)</li>
<li>sphere with volume sum of spheres with radius 3, 4, and 5 - radius was 6</li>
<li>z = 0 is the set of pts equidistant (0,0,5) and (0,0,-5)</li>
<li>For the time at 60 mph it was (240-80t)/60 = 4 -(4/3)t</li>
<li>11 for the one about (6n plus or -1) is prime</li>
<li>3 for the one asking which has x+2 values less than x^2</li>
<li>3n-1 sequence, a1 is 7? (dont remember)</li>
<li>smallest angle of 5-12-13 triangle = 23 degrees</li>
<li>log(pr^2) = 11</li>
<li>Which cannot be the sum? ANS: 150 degrees</li>
<li>log base x of 216=3, x = 6</li>
<li>Sum of area of rectangles ANS: 21.0</li>
<li>triangle with lengths costheta and 1? = sectheta</li>
</ol>

<p>I disagree with number 8… I have 3 and 4.</p>

<p>@runallday
How about for this situation:
f(x)=(x+1)(x-1)
g(x)=3(x+1)(x-1)
Fulfills all requirements, only two roots</p>

<p>runallday4, take the possibility of two parabolas that have the same roots. For instance, any parabola with two roots, and its additive inverse.</p>