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.

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2. Write a polynomial expression that represents the area of the kitchen. Then multiply to put the polynomial in standard form.

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3. Write a polynomial expression that represents the area of the bedroom. Then multiply to put the polynomial in standard form.

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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.

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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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