Polynomial Word Problems Worksheet

Polynomial Word Problems

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

1. A rectangular garden has a length of (2x + 5) feet and a width of (x - 2) feet. What is the perimeter of the garden?

2. Sarah has (3y + 7) stickers, and her friend Tom has (y - 3) stickers. How many more stickers does Sarah have than Tom?

3. The area of a rectangular table is given by the expression (4a + 2) multiplied by (a - 1). The simplified expression for the area is  .

4. A square picture frame has a side length of (3b + 5) inches. The expression for the area of the frame is  .

5. A box has a length of (x + 3), a width of (x), and a height of (x + 1). Which expression represents the volume of the box?

6. The cost of producing 'n' toys is given by the polynomial (2n² + 5n + 100) dollars. If the income from selling 'n' toys is (3n² - 2n - 50) dollars, write an expression for the profit when selling 'n' toys. (Profit = Income - Cost)