Performance Task 2 - PC\|MAC
Performance Task 2.1-2.9 Name:____________________________
[pic]
Your cousin is building a new house. The layout of the first floor is shown in the diagram above. Using the diagram and knowledge of polynomials find the following:
1. Write a polynomial that represents the length of the north side of the house. Then simplify the expression.
_______________________________________________________________________________
2. Write a polynomial expression that represents the area of the kitchen. Then multiply to put the polynomial in standard form.
_______________________________________________________________________________
3. Write a polynomial expression that represents the area of the bedroom. Then multiply to put the polynomial in standard form.
_______________________________________________________________________________
4. The volume of the dining room is given by[pic]. Use the Binomial Theorem and Pascal’s triangle to write the binomial expansion for the volume of the dining room.
______________________________________________________________________________________________________________________________________________________________
5. Find the dimensions of the bathroom in terms of x. (Hint the west and east side of the house should be equal.)_____________________________________________________________________
6. You are adding additional rooms to your house. Find the dimensions of each room given the area.
a. new bedroom [pic]_______________________________________________
b. additional bathroom [pic]________________________________________
c. deck [pic]_____________________________________________________
d. playroom [pic]____________________________________________________
e. sunroom [pic]_________________________________________________
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