SAT Math question:

Test Preparation SAT Preparation
1

<p>What is the minimum value of f(x) = abs(x-1) + abs(2x-1) + abs(3x-1) + … + abs(119x-1)?
a.) 49
b.) 50
c.) 51
d.) 52
e.) 53</p>

<p>I can’t figure this one out… it is so frustrating!</p>

2

<p>It’s 49. I found out by turning it into a sum (<a href=“http://www2.wolframalpha.com/Calculate/MSP/MSP178719d690f62igabh6e00005hfb924d02783ch8?MSPStoreType=image/gif&s=3&w=191&h=65[/url]”>http://www2.wolframalpha.com/Calculate/MSP/MSP178719d690f62igabh6e00005hfb924d02783ch8?MSPStoreType=image/gif&s=3&w=191&h=65&lt;/a&gt;)</p>

<p>and then finding the minimum value of it which occurs at x=1/85 and is 49</p>

<p><a href=“min{sum_(n=1)^119|nx-1|} - Wolfram|Alpha”>min{sum_(n=1)^119|nx-1|} - Wolfram|Alpha;
<a href=“sum_(n=1)^119|nx-1| - Wolfram|Alpha”>sum_(n=1)^119|nx-1| - Wolfram|Alpha;

<p>I know there’s a way to do it on the Ti-89, but I’m not sure about the Ti-84/83.</p>

3

<p>This question is not likely to appear on the SAT I Math.</p>

4

<p>Its no calculator question… sorry this is from my math test.</p>

5

<p>This is an AMC12 question… definitely won’t be on the SAT I, and probably not II.</p>

<p>[Tofu</a> Math • View topic - AMC 12A 2010 Q 22](<a href=“http://forum.tofumath.com/viewtopic.php?f=11&t=33&start=0]Tofu”>http://forum.tofumath.com/viewtopic.php?f=11&t=33&start=0)</p>

6

<p>Yea but I need to know how to do it.</p>

7

<p>Look at the link, it’s on there.</p>

<p>And you won’t need to do it for any SATs.</p>