Polynomials & Word Problems - Wasatch



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Polynomials & Word Problems

Use the rules for simplifying polynomials to answer the following:

1. Simplify: [pic]

2. The polynomial [pic] models the profit a company makes on selling an item at a price x. A second item sold at the same price brings in a profit of [pic]. Write a polynomial that expresses the total profit from the sale of both items.

3. The measures of two sides of a triangle are given. If P is the perimeter, and [pic], find the measure of the third side.

4. Jena has a triangular garden with a perimeter that can be represented by [pic]. The sum of two sides of the garden is represented by [pic]. Which expression represents the length of the third side?

5. The polynomial [pic] models the profit a company makes on selling an item at a price s. A second item sold at the same price brings in a profit of [pic]. Write a polynomial that expresses the total profit from the sale of both items.

6. The measures of two sides of a triangle are given. If P is the perimeter, and [pic], find the measure of the third side.

[pic]

7. Jena has a triangular garden with a perimeter that can be represented by [pic]. The sum of two sides of the garden is represented by [pic]. Which expression represents the length of the third side?

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3x + 2y

4x + 2y

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