SAT I math problem

Test Preparation SAT Preparation
1

<p>The coordinates of point A in the figure above are (p,r) where the absolute value of p > then the absolute value of r. Which of the following could be the slope of line AB?</p>

<p>description of the graph: the point A is in quadrant II and the the point B is in quadrant IV. there is a line segment connecting them. </p>

<p>options:</p>

<p>a. -2
b. -1/2
c. 0
d. 2/3
e. 5/2</p>

<p>it says b, which is what I got, but I also sort of guessed between B and A. I inferred from the slope of the line (it's not that steeply negative) that it would be -1/2, however in past math courses I've been taught that you should never try to eyeball a graph, especially if it's not drawn to scale. I guess that isn't true on the SAT?</p>

<p>Another question:</p>

<p>x: -1, 0 1
f(x): 1/8, 1/2, 2</p>

<p>the table above shows some values for the function f. If f(x) = ka^x for some constants k and a, what is the value of a?</p>

<p>a. 1/2
b. 1/4
c. 2
d. 4
e. 16</p>

<p>almost completely lost on this one, so help is much appreciated.</p>

<p>also: I'm studying for the PSAT right now but using SAT practice tests - I'm also not doing the essay. that's fine right? If not, anyone want to direct me to some PSAT prep I can use? I have the blue book now.</p>

2

<p>

hmmmm if abs(p) > abs(r) and A is in teh 2nd quandrant, that means p is more negative than r is positive. so I’m not sure if the graph is drawn to scale or not (I don’t even know what the graph looks like), but if the x coordinate is more to the left than the y coordinate is high up, it creates a not-so-steep graph.</p>

<p>

</p>

<p>OK what i did was that I set up equations using the f(x) and x values.</p>

<p>I got (1/8) = (k)a^(-1) = k/a
(1/2) = k(a^0) = k(1) = K so k is 1/2</p>

<p>using those 2 bits of info, if (1/2)/a=(1/8), then a = (1/2)/(1/8) = 8/2 = 4, which is choice D.</p>

<p>yea ignoring the essay for the PSAT is fine; there isn’t even an essay on the PSAT! PSAT prep is the same as SAT prep, so just do the BB (although make sure you retain what you learn for the real SATs)</p>