1. W ARM - UP 8/27/13 1. 2. 3. Add, subtract, or multiply, then simplify.

2. P OLYNOMIAL W ORD P ROBLEMS Goal: Use polynomials to represent real-life situations.

3. W ORD P ROBLEMS 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. W ORD P ROBLEM #1 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.  T = 0.42t 2 – 1.156t + 0.993

5. W ORD P ROBLEM #2 From 1890 through 1990, the number of men M and women W in the US labor force can be modeled by the following equations, where t is the number of years since 1890. M = 0.0016t 2 + 0.315t + 19.467 W = 0.007t 2 – 0.228t + 5.908 Find a model for the total number of people in the US labor force.  T = 0.0086t 2 + 0.087t + 25.375

6. W ORD P ROBLEM #3 A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle?  7x + 13

7. W ORD P ROBLEM #4 The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window?  6x 2 +38x + 60

8. W ORD P ROBLEM #5 Find the area of the figure below. 15x x 4

9. W ORD P ROBLEM #6 Find the area of the figure below.  2x 2 + 14x + 24 8 2x x 3

10. W ORD P ROBLEM #7 Find the area of the blue region.  6x 2 + 11x + 42 3x 6 2x 7

11. W ORD P ROBLEM #8 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

12. PRACTICE Worksheet – “Polynomial Word Problems” Choose A scribe A manager A researcher

13. M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #1

14. M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #2 The profits of two different manufacturing plants can be modeled as shown, where x is the number of units produced at each plant. Use the information above to write a polynomial that represents the total profits from both plants.

15. M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #3

16. M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #4 Write a polynomial to represent the shaded region.