June 2008 Math Level I

<p>Nope I believe it was</p>

<p>K / K^2 + 1 or something like that i forgot exactly</p>

<p>For all the other ones if you insert 0 for k it will be undefined</p>

<p>for example</p>

<p>1/K</p>

<p>or another one was </p>

<p>1/ k-1 (if u insert 1 for k you will get an undefined fraction)</p>

<p>az1698: I thought it was I and III becaue II for a certain value of X there are multiple y's and therefore it fails to be a function.</p>

<p>112 is the only answer that makes sense for the rope one because all the others were far too low. I also said 5 for the PQ one because it made sense just to add the two radii. I think I said pie over 2 for the rectagle inscribed in the circle...</p>

<p>Another one that popped to my head was the one where there were two congruent, tangent circles and u had to say which set of lines equaled the line connecting the two radii of the circles. It was one of those answers with roman numerals (all that are true) and i remember circling two of the three (maybe I and II). </p>

<p>Any thoughts?</p>

<p>@ wavvy- I got that wrong so idk. How bout the one where it had the right triangle and it gave you bd? I think that answer was 20? #45 or something...</p>

<p>can someone explain how it is 112?</p>

<p>i forget... did it say that it was only one rope?
or was it like 1 rope, then 2 pieces of that rope cut in half, the 4 pieces of those 2 pieces cut in half lol. i can't remember.</p>

<p>If you guys are talking about the one where it said which of the following are functions of y, and u get the first two answers because the last one is just a vertical line, and fails the vertical line test (I, II)</p>

<p>How is the Rectangle in the circle pi over 2.</p>

<p>When you extend the radius to the sides of the rectangle and use pyth theorem u get each side of the rectangle to be root 2.</p>

<ol>
<li><p>Length of the two connecting circles (radius 2 and 3): It was 4.9. If you make a perpendicular from radius 2 to the radius 3 and connect the two centers, then you get a right triangle ontop of a rectangle. The triangle has the hyp of 5 (radius 2+3=5), and the leg is 1 (one side of the rectangle is 2, making radius 3 split up into components of 2 and 1). So the long leg is 24^(1/2) using pyg theorem, making it 4.9. I hope that explanation was clear. If it isn't, then just ask me to draw a diagram up.</p></li>
<li><p>Silver cube question concerning how expensive (#49)
You set up the proportion:
(Volume of 2in cube / Volume of 3in cube) = (200 / X)
(8 / 27) = (200 / X)<br>
X = $675.</p></li>
<li><p>The "i" question..it was just an algebraic expression
x + i + xi + y = 11 + 7i</p></li>
</ol>

<p>Real values: x+y = 11
Imaginary values: i+xi = 7i --> 1+x=7, x=6
6+y=11, y=5</p>

<ol>
<li><p>light switch
2x2x2x2 = 16, I was unsure though b/c it seemed easy = /</p></li>
<li><p>rope (cut into pieces)
31 cuts = 32 pieces, each with length 3.5. 32x3.5= 112.</p></li>
<li><p>rectangle inscribed in cricle with radius 1
The maximum area of the rectangle can be found if the rectangle was a square. The diagonal would be 2xradius = 2. Area of square = (diagonal^2) / 2 = (2^2)/(2) = 4/2 = 2.</p></li>
</ol>

<p>K / K^2 + 1 is the right answer because out of the other choices, K^2 + 1 is the only one that is positive for all real values.</p>

<p>Anything squared is always positive (except for 0) and you're adding 1 so it still remains positive.</p>

<hr>

<p>The only question I really had trouble was with the y is the function of x one with the three tables. The rule just completely slipped my mind and I hope using the vertical test was right for that one because that means it's I + III.</p>

<p>All in all, I found this test easier than the practice ones. The harder questions weren't impossible within the time limit.</p>

<p>So the rectangle one is 2 right?</p>

<p>Anyone else remember some more questions?</p>

<p>OH, another one I was confused with <em>takes out calculator</em>:</p>

<p>The difference b/w the:
max point of y = -(x^4)-(2x^3)+5
min point of y=(x^4)+x^2-4</p>

<p>I graphed it and the first graph looked weird but I put down 10.6 = /</p>

<p>Another question asked y-k=a(x-h) or something like that and which graph could it be. I chose the one with the parabola in quadrant 2 but I'm not sure = / I graphed it out with values and it turned out like that.</p>

<p>Its a parabola right so it could have only been looking like this:</p>

<p><a href="http://hotmath.com/images/gt/lessons/genericalg1/parabola_width.gif%5B/url%5D"&gt;http://hotmath.com/images/gt/lessons/genericalg1/parabola_width.gif&lt;/a&gt;&lt;/p>

<p>Or a sideways one </p>

<p>but didnt they say someother thing along with it ? </p>

<p>I choose the B the one thats like this : C (horizontal)</p>

<p>what was the answer to the question with the altitude of a right triangle? I put 12 because it was the smallest answer.</p>

<p>I got 20 (Letter choice E) for one of the last triangles...
Was the answer to the last question mode?</p>

<p>Yeah, because median is not a member of the set of numbers if n is an even number.</p>

<p>I got mode too. </p>

<p>I got 20 for the altitude. The small triangle is similar to the biggest triangle so you can set up a proportion.</p>

<p>Did you get the difference of the maximum and the minimum to be small? like 2.7 or 2.8??</p>

<p>The similar triangle one - what question number was that?</p>

<p>The question about the right triangle whose altitude makes another right triangle, yes I used similar triangles and my answer was 20. </p>

<p>What about that od A and B on a plane, the distance about them - 4. how many points can be drawn of a distance od 3 from both A and B. I marked 2 points...</p>

<p>im fairly positive it was 10.6</p>