document.write( "Question 169082: 1. Use the midpoint formula to find the midpoint of a line segment with endpoints: (2, 7) and (-4, 1)\r
\n" ); document.write( "\n" ); document.write( "2. Algebraically find the x and y intercepts of the equation 3x - 5y = 10 and write each as an ordered pair. \r
\n" ); document.write( "\n" ); document.write( "3. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
\n" ); document.write( "2(x + 3) > 20 \r
\n" ); document.write( "\n" ); document.write( "4. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
\n" ); document.write( "11x + 3 – 13x – 7 < 2(5 + 4x)\r
\n" ); document.write( "\n" ); document.write( "5. Fill in the chart given this linear equation:
\n" ); document.write( "2x + y = 42.
\n" ); document.write( "Type all your work below the chart.
\n" ); document.write( "x y
\n" ); document.write( "-2
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\n" ); document.write( "\n" ); document.write( "6. The linear equation x = -1 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below). Describe how you determined your answer.\r
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Algebra.Com's Answer #124696 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll do the first three to get you started.\r
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\n" ); document.write( "\n" ); document.write( "Finding the Midpoint:\r
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\n" ); document.write( "\n" ); document.write( " $\"2%2B-4=-2\"$ First add the x-coordinates together to get $\"-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28-2%29%2F2=-1\"$ Divide that result by 2\r
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\n" ); document.write( "\n" ); document.write( "So the x-coordinate of the midpoint is $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"7%2B1=8\"$ Now add the y-coordinates together to get $\"8\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%288%29%2F2=4\"$ Divide that result by 2\r
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\n" ); document.write( "\n" ); document.write( "So the y-coordinate of the midpoint is $\"y=4\"$ \r
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\n" ); document.write( "\n" ); document.write( "So the midpoint between the points

and

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\r
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x-intercept

\r
\n" ); document.write( "\n" ); document.write( "To find the x-intercept, plug in $\"y=0\"$ and solve for x\r
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\n" ); document.write( "\n" ); document.write( " $\"3x+-+5y+=+10\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x+-+5%280%29+=+10\"$ Plug in $\"y=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"3x+-+0+=+10\"$ Multiply $\"5\"$ and 0 to get 0.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x+-+0+=+10\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x=10%2B0\"$ Add $\"0\"$ to both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x=10\"$ Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=%2810%29%2F%283%29\"$ Divide both sides by $\"3\"$ to isolate $\"x\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So the x-intercept is

.\r
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y-intercept

\r
\n" ); document.write( "\n" ); document.write( "To find the y-intercept, plug in $\"x=0\"$ and solve for y\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"3x+-+5y+=+10\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3%280%29+-+5y+=+10\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"0+-+5y+=+10\"$ Multiply $\"3\"$ and 0 to get 0.\r
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\n" ); document.write( "\n" ); document.write( " $\"+-+5y+=+10\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%2810%29%2F%28-5%29\"$ Divide both sides by $\"-5\"$ to isolate $\"y\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the y-intercept is

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\n" ); document.write( "\n" ); document.write( " $\"2%28x%2B3%29%3E20\"$ Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%2B3%3E20%2F2\"$ Divide both sides by 2\r
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\n" ); document.write( "\n" ); document.write( " $\"x%2B3%3E10\"$ Divide.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%3E10-3\"$ Subtract $\"3\"$ from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%3E7\"$ Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is $\"x%3E7\"$ \n" ); document.write( "

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