document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176054>Question 176054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Take any number (except for 1). Square that number and then<BR>\n" );
document.write( "subtract one. Divide by one less than your original number. Now subtract your original number.<BR>\n" );
document.write( "Did you reached 1 for an answer? You should have. How does this number game work? (Hint:<BR>\n" );
document.write( "Redo the number game using a variable instead of an actual number and rewrite the problem as<BR>\n" );
document.write( "one rational expression). How did the number game use the skill of simplifying rational<BR>\n" );
document.write( "expressions? Create your own number game using the rules of algebra and post it for your<BR>\n" );
document.write( "classmates to solve. Be sure to think about values that may not work. State whether your number<BR>\n" );
document.write( "game uses the skill of simplifying rational expressions.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131233 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take any number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square that number and then subtract one. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-1 ALIGN=MIDDLE  ALT=\"z%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by one less than your original number. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2-1%29%2F%28z-1%29 ALIGN=MIDDLE  ALT=\"%28z%5E2-1%29%2F%28z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now subtract your original number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2-1%29%2F%28z-1%29-z ALIGN=MIDDLE  ALT=\"%28z%5E2-1%29%2F%28z-1%29-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-1 ALIGN=MIDDLE  ALT=\"z%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-1=%28z-1%29%28z%2B1%29 ALIGN=MIDDLE  ALT=\"z%5E2-1=%28z-1%29%28z%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2-1%29%2F%28z-1%29-z ALIGN=MIDDLE  ALT=\"%28z%5E2-1%29%2F%28z-1%29-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28z-1%29%28z%2B1%29%29%2F%28z-1%29-z ALIGN=MIDDLE  ALT=\"%28%28z-1%29%28z%2B1%29%29%2F%28z-1%29-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28z-1%29%29%28z%2B1%29%29%2Fcross%28%28z-1%29%29-z ALIGN=MIDDLE  ALT=\"%28cross%28%28z-1%29%29%28z%2B1%29%29%2Fcross%28%28z-1%29%29-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28z%29%2B1%29-cross%28z%29 ALIGN=MIDDLE  ALT=\"%28cross%28z%29%2B1%29-cross%28z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's how this game worked. <BR>\n" );
document.write( "I leave it to you to come up with your own. <BR>\n" );
document.write( "Working backwards is usually the best way to get the answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );