document.write( "Question 974003: Please help me with the following problems below trying to help my daughter don't want to show her the wrong way of how to solve these problems. HELP!!!\r
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\n" ); document.write( "\n" ); document.write( "1. 3(4x)+ 4 if x=5\r
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Algebra.Com's Answer #596032 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Remember the little rhyme:\r\n" );
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document.write( "\" 'Side by side' means 'multiplied' \"\r\n" );
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document.write( "The letters x is used so often for an unknown or variable quantity in \r\n" );
document.write( "algebra that the cross × is almost never used.  It looks too much like \r\n" );
document.write( "the letter x.  There are two ways to indicate multiplication in algebra.\r\n" );
document.write( "Sometimes a dot • is placed between them to indicate multiplication.  \r\n" );
document.write( "But the most common way is to place NOTHING between a number and a letter,\r\n" );
document.write( "or between two letters.  Of course you can't write two numbers side-by-side,\r\n" );
document.write( "for if you wrote 3 next to 4 it would look like the number 34. When two\r\n" );
document.write( "numbers are to be multiplied one or both of them are enclosed in parentheses\r\n" );
document.write( "and the parentheses is places next to what it is to be multiplied by.\r\n" );
document.write( "The parentheses in the 1st example below keeps the 3 from being next to\r\n" );
document.write( "the 4, otherwise it would look like 34x.  It might be easier if you use\r\n" );
document.write( "the dot • to indicate multiplication.    \r\n" );
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document.write( "1. 3(4x) + 4 if x=5 \r\n" );
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document.write( "That could be written using the dot:\r\n" );
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document.write( "  3•(4•x) + 4\r\n" );
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document.write( "Now we replace the x by 5 and we have:\r\n" );
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document.write( "  3•(4•5) + 4\r\n" );
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document.write( "We always do what's in parentheses first, so we do (4•5) and get 20.\r\n" );
document.write( "so since we are using the dot we replace the (4•5) by (20)\r\n" );
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document.write( "  3•20 + 4\r\n" );
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document.write( "Multiplication is done before addition or subtraction so we replace \r\n" );
document.write( "the 3•20 by 60, and we have:\r\n" );
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document.write( "  60 + 4\r\n" );
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document.write( "And that is, of course, just\r\n" );
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document.write( "   64.\r\n" );
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document.write( "So on her paper she should write this:\r\n" );
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document.write( "3(4x) + 4 =\r\n" );
document.write( "3•(4•x) + 4 =\r\n" );
document.write( "3•(4•5) + 4 =\r\n" );
document.write( "3•20 + 4 =\r\n" );
document.write( "60 + 4 =\r\n" );
document.write( "64\r\n" );
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document.write( "2. 10(xy) if x=5 and y=6 \r\n" );
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document.write( "Write this:\r\n" );
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document.write( "10(xy) =\r\n" );
document.write( "10•(x•y) =\r\n" );
document.write( "10•(5•6) =\r\n" );
document.write( "10•30 = \r\n" );
document.write( "300\r\n" );
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document.write( "3. 6(3t + 4s) if t=4 and s=3\r\n" );
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document.write( "Write this:\r\n" );
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document.write( "6•(3•t + 4•s) =\r\n" );
document.write( "6•(3•4 + 4•3) =   <--finish what's inside the parentheses first\r\n" );
document.write( "6•(12 + 12) =        (do the multiplications before adding)\r\n" );
document.write( "6•24 =\r\n" );
document.write( "144\r\n" );
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document.write( "Edwin
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