<p>I saw a free Math IIC Test from collegeboard posted on some website for free at some Texas school so i printed it out and I got a 790 which is really freaking close to an 800. I skipped 2 problems and got 4 wrong. I got most of the ones wrong through stupid errors like not reading coordiate points right. Anyways. I was really confused with this one problem and I have seen on this practice test. It’s</p>
<li>The set of all real Numbers x such that sqrt(x^2) = -x consists of…
A) zero only
B) Nonpositive numbers only
C) Postive Real numbers only
D) All Real Numbers
E) No Real Numbers</li>
</ol>
<p>The answer was B but i think it’s D</p>
<p>Okay. Here’s my “wrong” method which I thought was right. well first I said okay, Zero works. I went on to B and i pluged in (-x) into the sqrt(x^2) and so i got abs(x) which ±x so -x is right in that part. Saved it. went on to C. I put postitive sqrt(x^2) and guess what I got, abs(x) again. So I assumed since A B and C both work and there are real numbers, I chose D.</p>
<p>If there is supposed to be an “actual” way to do this problem… please tell me SOOOOOOOOOOON because I really need to know.</p>
<p>Anyone know where to find other real subject tests, other than those in the CB book? It's lame that CB has only officially released one test per subject.</p>
<p>Okay, with regard to your problem M1st3rmarbl3s, you can understand sqrt(x^2) to mean abs(x), as you said. It is exactly the same thing. But C does not work! Look at this: If we take 3, we get abs(3) = 3, but -(3) does not equal 3!</p>
<p>I use trial and error with real numbers to solve these ones. Note that this questions tests your understanding of the fact that the negative of a negative number is a positive number. Its just a logic thing really. Does that answer your question?</p>
<p>OOOOOOOOOOOO okay thanks. I lost my 41 neoproto person haha that's the only page i can't find right now. Is it the graph problem? if it is, ummmm something with the negative sign on one formula (i forget) makes it a downwards parabolic function making the only one with a downward parabola the only answer. If this isnt the right one... then ignore what I just said. woot.</p>
<p>NO, the answer cannot be D because D includes negative numbers. As I described above, the equation does not work for negative numbers. You end up with a statement like 5=-5 which is clearly incorrect. Use real examples and you will not make mistakes with + / - signs.</p>