document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122263>Question 1122263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Found this on an SAT Practice test.\r<BR>\n" );
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document.write( "(6x-1)/(x+4)\r<BR>\n" );
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document.write( "Which of the following is equivalent to the expression above?\r<BR>\n" );
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document.write( "A) 6-[25/(x+4)]<BR>\n" );
document.write( "B) 6-[1/(x+4)]<BR>\n" );
document.write( "C) 6-(1/4)<BR>\n" );
document.write( "D) (6-1)/4\r<BR>\n" );
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document.write( "Hopefully the parentheses I added make it less confusing.\r<BR>\n" );
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document.write( "So, I know it's not C or D, since, well, where did the x go? So, that leaves A and B. I looked at the answers and found that it is A, but why? How can I get from (6x-1)/(x+4) to 6-[25/(x+4)]? Please show steps, I need to learn this so I can get this right in the future. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738338 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here's the way I think of this kind of problem.  Perhaps (I hope) you will get responses from other tutors showing you the way they work problems like this -- in case my method doesn't \"work\" for you.<br><BR>\n" );
document.write( "(1) In the numerator I have \"6x\"; in the denominator I have just \"x\".  That means the whole number part of my answer is going to be 6.  (and you can see that in the answer choices).<br><BR>\n" );
document.write( "(2) So make a fraction with denominator (x+4) that is equivalent to the whole number 6:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%286%28x%2B4%29%29%2F%28x%2B4%29+=+%286x%2B24%29%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"6+=+%286%28x%2B4%29%29%2F%28x%2B4%29+=+%286x%2B24%29%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) Now, how does the numerator of that fraction compare to the denominator of the given fraction?  I have 6x+24 and I want 6x-1.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B24%29-25+=+%286x-1%29 ALIGN=MIDDLE  ALT=\"%286x%2B24%29-25+=+%286x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(4) So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-1%29%2F%28x%2B4%29+=+%286%28x%2B4%29-25%29%2F%28x%2B4%29+=+6+%2B+%28-25%29%2F%28x%2B4%29+=+6+-+%2825%2F%28x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Answer A. </SPAN>\n" );
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