Polynomial Word Problems

Polynomial Word Problems

Read each word problem carefully and solve it by writing and simplifying polynomial expressions. Show all your work.

1. The length of a rectangle is represented by the polynomial 3x + 5 and its width by 2x - 1. What is the perimeter of the rectangle?

2. A farmer planted (5y^2 + 2y - 8) apple trees and (2y^2 - 3y + 10) pear trees. How many more apple trees than pear trees did the farmer plant?

3. The side of a square is given by the expression (4a + 2). What is the area of the square?

4. A rectangular garden has a length of (x + 7) feet and a width of (x - 3) feet. Find the area of the garden.

5. If the cost of one shirt is (2p + 5) dollars, then the cost of (p - 1) shirts is   dollars.

6. The perimeter of a triangle is (7z + 12). If two sides are (3z + 5) and (z + 2), the third side is  .

7. The product of (x + 2) and (x - 2) is x^2 - 4.