document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83058>Question 83058</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030650542/algebrahomeworkh>Holt Middle School Math Course 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to help my boys with this homework and I have no idea how to do this.  I don't want to just give them the answer.\r<BR>\n" );
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document.write( "x+5 for x=-18\r<BR>\n" );
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document.write( "z/-6 for z=96 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59602 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=59602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+5 for x=-18<BR>\n" );
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document.write( "Just substitute -18 for x and the problem becomes:<BR>\n" );
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document.write( "-18 + 5<BR>\n" );
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document.write( "When you add numbers having opposite signs the rule is subtract the two numbers and give<BR>\n" );
document.write( "it the sign of the larger number. In this case subtract 5 from 18 to get 13 and give the<BR>\n" );
document.write( "answer the same sign as the 18 ... which is a minus sign.  Another way to look at this is<BR>\n" );
document.write( "go to -18 on the number line, then count 5 units to the right (the same as adding -18 and<BR>\n" );
document.write( "+5) and you end up at -13.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F-6+ ALIGN=MIDDLE  ALT=\"z%2F-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > for z=96<BR>\n" );
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document.write( "Substitute 96 for z and the problem becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F-6 ALIGN=MIDDLE  ALT=\"96%2F-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rule is when you divide two numbers that have different signs, the answer is negative.<BR>\n" );
document.write( "So divide 6 into 96 and you get 16, but since the signs are different (the 96 is positive<BR>\n" );
document.write( "and the 6 is negative) the answer is negative.  So the answer is -16.<BR>\n" );
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document.write( "Here are some general rules for combining numbers (including the above rules):<BR>\n" );
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document.write( "Adding:<BR>\n" );
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document.write( "If the numbers have the same signs (both numbers are plus or both numbers are minus,<BR>\n" );
document.write( "just add the numbers and give them the common sign. (Examples +6 +9 = +15 but -6 -9 = -15).<BR>\n" );
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document.write( "If the numbers being added have different signs, subtract the two numbers and give the<BR>\n" );
document.write( "result the sign of the number that is the largest magnitude.  See the first problem<BR>\n" );
document.write( "above.<BR>\n" );
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document.write( "Subtracting:<BR>\n" );
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document.write( "Change the sign of the number being taken away and then follow the rules above for adding.<BR>\n" );
document.write( "Examples:<BR>\n" );
document.write( "Take -6 from +25.  Change the -6 to +6 and then add it to +25 to get +31. <BR>\n" );
document.write( "Take +5 from -19.  Change the +5 to -5 and add it to -19 to get -24.<BR>\n" );
document.write( "Take -8 from -10. Change the -8 to +8 and add to -10 to get -2.<BR>\n" );
document.write( "Take +4 from +9. Change the +4 to -4 and add to +9 to get +5.<BR>\n" );
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document.write( "Multiplying:<BR>\n" );
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document.write( "If the signs of both numbers are positive or the signs of both numbers are negative,<BR>\n" );
document.write( "multiply the numbers and give the answer a + sign.<BR>\n" );
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document.write( "If the signs of the two numbers are different (one + and one -), multiply the numbers<BR>\n" );
document.write( "and give the answer a negative sign.<BR>\n" );
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document.write( "Dividing:<BR>\n" );
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document.write( "Basically the same as multiplying.  Same signs, divide the two numbers and give the answer<BR>\n" );
document.write( "a plus sign.<BR>\n" );
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document.write( "If the two numbers have different signs (one + and one -), divide the numbers and give<BR>\n" );
document.write( "the answer a negative sign.<BR>\n" );
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document.write( "Hope this helps you with working out problems like the two you were given. </SPAN>\n" );
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