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Polynomial House Project (2)

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Algebra 1 Polynomial Project
DUE DATE: Wednesday, May 8th, 2019
DOUBLE GRADE – PROJECT & TEST
Answers must have supporting work on a separate sheet(s) of paper. Sloppy work will not be
graded. NO WORK = NO CREDIT!! NOTE: All dimensions are in feet, indicate appropriate units on
the answer sheet.
Step 1. Expressing perimeters as polynomial expressions
On a separate sheet of paper work each of the questions below.
•
Your work must be clearly numbered, labeled and neat. Answers must be in simplified
form.
All answers are polynomial expressions.
1)
2)
3)
4)
Find the perimeter of each room. Record your answers on the answer sheet.
Find the perimeter of the Master Bedroom and the Master Closet.
Find the perimeter of the Bedroom, Closet, and Bathroom.
Find the perimeter of the whole house.
•
Step 2. Calculating perimeters
•
•
On a separate sheet of paper work each of the questions below.
Your work must be clearly numbered, labeled and neat.
5) The perimeter of the kitchen and the perimeter of the dining room are exactly the same.
Write an equation to represent that the perimeters are equal.
6) Solve the equation you wrote in #5 for x.
7) Substitute the value you found for x to find the perimeter of each room. Record your
answer on the answer sheet.
8) Substitute the value you found for x to find the perimeter of the whole house.
Step 3. Expressing areas as polynomial expressions
On a separate sheet of paper work each of the questions below.
•
•
Your work must be clearly numbered, labeled and neat. Answers must be in simplified
form.
All answers are polynomial expressions.
9) Find the area of each room. Record your answers on the answer sheet.
Step 4. Calculating areas
•
•
On a separate sheet of paper work each of the questions below.
Your work must be clearly numbered, labeled and neat.
10) Using the same x-value you solved for from the perimeter, find the areas of each room.
Record your answer on the answer sheet.
Step 5. Application Problems
•
•
On a separate sheet of paper work each of the questions below.
Your work must be clearly numbered, labeled and neat.
11) You want to put carpet in the Master Bedroom, the Master Closet, the Bedroom, the
Closet, and the Living Room. You checked with various stores and found that the best deal
was given by a company who will charge you $3.95 per square foot (this includes carpet
pad and labor). Calculate the total cost for carpeting these rooms.
12) You want to put vinyl flooring in the Bathroom. You checked with various stores and found
that the best deal was given by a company who will charge you $3.50 per square foot
(labor included). Calculate the total cost for the vinyl flooring.
13) You want to put hardwood flooring in the Hallway. You checked with various stores and
found that the best deal was given by a company who will charge you $4.99 per square
foot plus $325 for labor. Calculate the total cost for the hardwood flooring.
14) You want to put ceramic tile flooring in your Kitchen and Dining Room. You checked with
various stores and found that the best deal was given by a company who will charge you
$2.95 per square foot plus $375 for labor. Calculate the total cost for the ceramic tile
flooring.
Name: ________________________________
Period: __________
Polynomial Project Answer Sheet
All answers must be recorded in the spaces provided, including the units. All work must be
attached and numbered/labeled appropriately.
Step 1: Expressing perimeters as polynomial expressions
Room
Living Room
Perimeter Expressions
1a)
Perimeter Calculations
7a)
Closet
1b)
7b)
Bedroom
1c)
7c)
Bathroom
1d)
7d)
Master Bedroom
1e)
7e)
Master closet
1f)
7f)
Kitchen
1g)
7g)
Dining Room
1h)
7h)
Hallway
1i)
7i)
Master Bedroom and
Master Closet
Bedroom, Closet, and
Bathroom
Whole House
2)
3)
4)
8)
Step 2: Calculating Perimeters
5) Equation:__________________________________________________
6) Solution to equation from #5: x = _________________
Steps 3 & 4: Expressing areas as polynomial expressions & Calculating areas
Room
Living Room
Area Expressions
9a)
Area Calculations
10a)
Closet
9b)
10b)
Bedroom
9c)
10c)
Bathroom
9d)
10d)
Master Bedroom
9e)
10e)
Master closet
9f)
10f)
Kitchen
9g)
10g)
Dining Room
9h)
10h)
Hallway
9i)
10i)
Step 5: Application Problems
11) Total cost for carpeting: __________________________________________________
12) Total cost for vinyl flooring: _______________________________________________
13) Total cost for hardwood flooring: __________________________________________
14) Total cost for ceramic tile flooring: _________________________________________
𝟐𝟐𝒙𝒙𝟐𝟐 − 𝟔𝟔
𝟐𝟐𝟐𝟐 − 𝟏𝟏
𝒙𝒙𝟐𝟐 − 𝟏𝟏
𝒙𝒙𝟐𝟐 − 𝟓𝟓
𝟓𝟓𝟓𝟓 − 𝟑𝟑
𝒙𝒙 − 𝟏𝟏
𝒙𝒙 + 𝟑𝟑
𝟓𝟓𝟓𝟓 − 𝟖𝟖
𝒙𝒙𝟐𝟐 − 𝟓𝟓
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