document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182688>Question 182688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this question:\r<BR>\n" );
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document.write( "Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137188 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.<BR>\n" );
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document.write( "lets call our number c<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28c%5E2-1%29%2F%28c-1%29%29-c=1 ALIGN=MIDDLE  ALT=\"%28%28c%5E2-1%29%2F%28c-1%29%29-c=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......the reason you cant pick 1 is that would put 1-1<BR>\n" );
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document.write( "in the denominator making the equation undefined<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E2-1-c%28c-1%29%29%2Fc-1=1 ALIGN=MIDDLE  ALT=\"%28c%5E2-1-c%28c-1%29%29%2Fc-1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >found common denominator on left hand side of c-1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2-1-c%5E2%2Bc=c-1 ALIGN=MIDDLE  ALT=\"c%5E2-1-c%5E2%2Bc=c-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > distributed left side and multiplied both sides by c-1<BR>\n" );
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document.write( "to eliminate the fraction<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c-1=c-1 ALIGN=MIDDLE  ALT=\"c-1=c-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......there you have it..that is why it works for every number except for 1<BR>\n" );
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document.write( "the number game could be like this\r<BR>\n" );
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document.write( "take a number x<BR>\n" );
document.write( "square it x^2<BR>\n" );
document.write( "add 2 multiplied by original number to it x^2 + 2x<BR>\n" );
document.write( "then add 1... x^2 + 2x + 1<BR>\n" );
document.write( "Now divide this number by original number plus 1 ( x^2+2x+1)/(x+1)<BR>\n" );
document.write( "Now subtract original number to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29%29-x+=+1 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29%29-x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "yes this game using skill of simplifying rational expressions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29+=+%28x%2B1%29%28x%2B1%29%2F%28x%2B1%29+=+x%2B1 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2B1%29%2F%28x%2B1%29+=+%28x%2B1%29%28x%2B1%29%2F%28x%2B1%29+=+x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The game will not work for x = -1<BR>\n" );
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