Polynomial word problems
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This document provides examples of word problems involving polynomials. It gives 6 word problems modeling real world situations using polynomials and having the reader find equations, models, or values based on the information given. It also includes 2 multiple choice questions asking the reader to write expressions or equations based on information about geometric shapes or word problems.
Polynomial word problems
- 1. Polynomial Word Problems Use polynomials to represent real-life situations.
- 2. Word Problems ¢Decide if the problem involves addition, subtraction or multiplication. ¢If polynomials are given: add, subtract or multiply like normal. ¢If polynomials are not given: use a formula. —Area = length times width —Perimeter = add all sides
- 4. From 1991 through 1998, the number of commercial C and education E Internet websites can be modeled by the following equations, where t is the number of years since 1991. C = 0.321t^2 – 1.036t + 0.698 E = 0.099t^2 – 0.120t + 0.295 Find a model for the total number of commercial and education sites. tHE ANSWER :
- 6. From 1890 through 1990, the total number of people T and the number of men M in the US labor force can be modeled by the following equations, where t is the number of years since 1890. ¢ T = 0.0086t 2 + 0.087t + 25.375 M = 0.0016t 2 + 0.315t + 19.467 Find a model for the number of women in the US labor force.
- 7. tHE ANSWER : W = 0.007t^2 – 0.228t + 5.908
- 8. Word Problem #3 A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle? 7x + 13 8x + 6 + 5x - 5 + -6x + 12 7x + 13
- 9. Word Problem #4 The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window? ANSWER : (3x+10)(2x+6) = 6x^2 + 38x + 60
- 10. Word Problem #5 Find the area of the figure below. ANSWER :
- 11. Word Problem #6 Answer :
- 12. Word Problem #7 The cost of a video game can be modeled by the equation C = 3x + 2. The number of games sold can be modeled by the equation N = 8x – 7. Write a model for the revenue from the sale of the games. R = 24x 2 – 5x – 14 Answer :
- 13. Word problems The profit a business makes is found by subtracting the cost to produce an item C from the amount earned in sales S. The cost to produce and the sales amount could be modeled by the following equations, where x is the number of items produced. C = 100x 2 + 500x – 300 S = 150x 2 + 450x + 200 Find an equation that models the profit. A. 50x2 – 50x + 500 B. –50x2 – 50x + 500 C. 250x2 + 950x + 500 D. 50x2 + 950x + 100
- 14. Word problems Write an expression for the area of the rectangle. A. 7x + 3 units^2 B. 12x2 + 11x + 2 units^2 C. 12x2 + 8x + 2 units^2 D. 7x2 + 11x + 3 units2