document.write( "Question 513546: Take any number (except for 1) and square it. Subtract one. Divide by one less than your original number. Now subtract your original number. What is the result? I bet you got 1!\r
\n" ); document.write( "\n" ); document.write( "How does this number game work? HINT: Redo the number game using a variable instead of the actual number and rewrite the problem as a rational expression. How does the number game use the rules of simplifying rational expressions?\r
\n" ); document.write( "\n" ); document.write( "Create your own number game using the rules of algebra for your peers to try. Be sure to think about values that may not work. \n" ); document.write( "

Algebra.Com's Answer #343092 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
It works because if you choose some number x (other than 1), the number you obtain is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here's one: Choose any positive integer greater than 1. Square it and add 1. Take the factorial of that number (x! = x*(x-1)*...*2*1). Take the units digit of the factorial and multiply it by your original number. \n" ); document.write( "

\n" );