document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237847>Question 237847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you are writing a test for a friend whom you tutor.  You want it to total 100 points. Multiple-choice questions count 1 point, fill in the blank questions count 2 points and short answer questions count 5 points. What are the possible combinations for types of test questions. Write and graph an equation for the  number of each that you can use.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174906 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you are writing a test for a friend whom you tutor. <BR>\n" );
document.write( "You want it to total 100 points. Multiple-choice questions count 1 point, fill in<BR>\n" );
document.write( " the blank questions count 2 points and short answer questions count 5 points.<BR>\n" );
document.write( " What are the possible combinations for types of test questions.<BR>\n" );
document.write( " Write and graph an equation for the number of each that you can use. <BR>\n" );
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document.write( "I assume you are the student who made the comment about this.<BR>\n" );
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document.write( "Let x = 5 pt questions<BR>\n" );
document.write( "Let y = 2 pt q<BR>\n" );
document.write( "Let z = 1 pt q<BR>\n" );
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document.write( "The equation:<BR>\n" );
document.write( "x + 2y + 5z = 100<BR>\n" );
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document.write( "Three unknowns make it difficult<BR>\n" );
document.write( "I am going make a graph assuming there are 10 ea 1 pt questions<BR>\n" );
document.write( "we have<BR>\n" );
document.write( "2x + 5y = 90<BR>\n" );
document.write( "5y = 90 - 2x<BR>\n" );
document.write( "y = 90/5 - (2/5)x<BR>\n" );
document.write( "graph<BR>\n" );
document.write( "y = 18 - .4x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-10%2C+20%2C+18-.4x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-10%2C+20%2C+18-.4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assume 10 1 pointers, y=5pt and x=2pt<BR>\n" );
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document.write( "If assume 20 ea 1 pointers<BR>\n" );
document.write( "2x + 5y = 80<BR>\n" );
document.write( "5y = 80 - 2x<BR>\n" );
document.write( "y = 80/5 - (2/5)x<BR>\n" );
document.write( "graph<BR>\n" );
document.write( "y = 16 - .4x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-10%2C+20%2C+16-.4x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-10%2C+20%2C+16-.4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assume 20 1 pointers, y=5pt and x=2pt<BR>\n" );
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document.write( "not sure if this is what they want, but will get you thinking about it anyway </SPAN>\n" );
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