document.write( "Question 336576: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
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document.write( "A. –6x2 + 25x + 6
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document.write( "B. 6x2 + 5x + 6
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document.write( "C. 6x2 – 5x + 6
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document.write( "D. 6x2 – 5x – 6
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document.write( "E. 6x2 – 13x – 6
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Algebra.Com's Answer #241217 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The product of 3 less than twice x and 2 more than the quantity 3 times x.\r\n" ); document.write( "\r\n" ); document.write( "The product of 3 less than twice x and 2 more than the quantity 3 times x\r\n" ); document.write( "\r\n" ); document.write( "Change the red words to 2x and the green words to 3x. Now you have:\r\n" ); document.write( "\r\n" ); document.write( "The product of 3 less than 2x and 2 more than 3x.\r\n" ); document.write( "\r\n" ); document.write( "The product of 3 less than 2x and 2 more than 3x\r\n" ); document.write( "\r\n" ); document.write( "The red words tell you to start with 2x and then make it 3 less by\r\n" ); document.write( "subtracting 3 from it, so you put down 2x and then make it less by \r\n" ); document.write( "putting -3 right after it. So replace the red words by (2x-3). We \r\n" ); document.write( "put it in parentheses because it contains more than one term. \r\n" ); document.write( "So now you have:\r\n" ); document.write( "\r\n" ); document.write( "The product of (2x-3) and 2 more than 3x\r\n" ); document.write( "\r\n" ); document.write( "The product of (2x-3) and 2 more than 3x\r\n" ); document.write( "\r\n" ); document.write( "Similarly, the red words tell you to start with 3x and then make it 2 more by\r\n" ); document.write( "adding 2 to it, so you put down 3x and then make it more by putting +2\r\n" ); document.write( "right after it. So replace the red words by (3x+2). As before, we put it in\r\n" ); document.write( "parentheses because it contains more than one term. So now you have:\r\n" ); document.write( "\r\n" ); document.write( "The product of (2x-3) and (3x+2).\r\n" ); document.write( "\r\n" ); document.write( "Now \"the product of\" means to multiply, so we end up the translation from\r\n" ); document.write( "English to algebra as this multiplication:\r\n" ); document.write( "\r\n" ); document.write( "(2x-3)(3x+2)\r\n" ); document.write( "\r\n" ); document.write( "Now we use FOIL:\r\n" ); document.write( "\r\n" ); document.write( "6x2+4x-9x-6\r\n" ); document.write( "\r\n" ); document.write( "Combining terms:\r\n" ); document.write( "\r\n" ); document.write( "6x2-5x-6, choice D\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |