document.write( "Question 197020: If x represents an even integer, which expression also represents an even integer?
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document.write( "1. 2x+1
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document.write( "2. 2x
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document.write( "3. x+1
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document.write( "4. x-1 \n" );
document.write( "
Algebra.Com's Answer #147687 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If x represents an even integer, which expression\r\n" ); document.write( "also represents an even integer?\r\n" ); document.write( "1. 2x+1\r\n" ); document.write( "2. 2x\r\n" ); document.write( "3. x+1\r\n" ); document.write( "4. x-1\r\n" ); document.write( "\r\n" ); document.write( "Arbitrarily select an even number for x and substitute.\r\n" ); document.write( "\r\n" ); document.write( "I will arbitrarily select the even number 8. I could choose 6 or 10\r\n" ); document.write( "or 74 or 2 or 50 or 2000000. But I'll stick with 8.\r\n" ); document.write( "\r\n" ); document.write( "So let x = 8\r\n" ); document.write( "\r\n" ); document.write( "Substitute 8 for x in the choices till you find it:\r\n" ); document.write( "\r\n" ); document.write( "1. 2x+1\r\n" ); document.write( "2. 2x\r\n" ); document.write( "3. x+1\r\n" ); document.write( "4. x-1\r\n" ); document.write( "\r\n" ); document.write( "becomes\r\n" ); document.write( "\r\n" ); document.write( "1. 2x+1 = 2(8)+1 = 16+1 = 17, nope that's an odd number\r\n" ); document.write( "2. 2x = 2(8) = 16, yep that's an even number \r\n" ); document.write( "(so that's the correct choice, but let's check the other\r\n" ); document.write( "ones anyway, to show that they are not even)\r\n" ); document.write( "3. x+1 = (8)+1 = 9, nope that's an odd number\r\n" ); document.write( "4. x-1 = (8)-1 = 7, nope that's an odd number.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |