Rasmussen College Polynomial Problems Algebra Worksheet

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Mowing Problem
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Jasper is mowing his yard. He wants to calculate the area that
he needs to mow. He splits his yard into his front yard (question
#1) and backyard (question #2). Work through the following
problems to find the total area he needs to mow.
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Question #1
Find the area of the front yard
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12x + 1
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Find a polynomial that describes the
area of the front yard shown to the
right.
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8x – 7
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Hint #1: Area = length times width
Hint #2: Your simplified
polynomial should have three
terms.
Front Yard
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Question #2
Find the area of the backyard
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13x – 2
Find a polynomial that describes the
area of the backyard shown to the right.
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9x – 3
2x
Note: Jasper cannot mow through
the shed. Make sure to ONLY find
the area of the grass. You will need
to subtract the area of the shed.
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Shed
Backyard
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Question #4
Find the area of the grass if x = 13 feet
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Using the expression you found in question #3, find the
area of the grass if x = 13 feet.
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Make sure your final answer is in a complete sentence
with the correct units for area.
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