1. 8-1 – 8-4 Polynomial Word Problems
Goal:
Use polynomials to represent real-life situations.
Eligible Content: A

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

3. Word Problem #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 = 0.321t2 – 1.036t
E = 0.099t2 – 0.120t
Find a model for the total number of commercial and education sites.
T = 0.42t2 – 1.156t

4. Word Problem #2
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
T = t t
M = t t
Find a model for the number of women in the US labor force.
W = 0.007t2 – 0.228t

5. Word Problem #3
A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x What is the perimeter of the triangle?
7x + 13

6. Word Problem #4
The dimensions of a window are 3x + 10 and 2x What is the area of the window?
6x2 +38x + 60

7. Word Problem #5 Find the area of the figure below. x2 + 19x + 60 15 x4 x

8. Word Problem #6 Find the area of the figure below. 8 2x 3
2x2 + 14x + 24 8 2x 3 x

9. Word Problem #7
The cost of a video game can be modeled by the equation C = 3x 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 = 24x2 – 5x – 14

10. 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 x – 300 S = 150x x Find an equation that models the profit.
A. 50x2 – 50x + 500
B. –50x2 – 50x + 500
C. 250x x + 500
D. 50x x + 100

11. Write an expression for the area of the rectangle.
A. 7x + 3 units2
B. 12x2 + 11x + 2 units2
C. 12x2 + 8x + 2 units2
D. 7x2 + 11x + 3 units2

12. Practice
Page 469 #44, 51, 58
Page 483 #24

13. Homework Worksheet – “Polynomial Word Problems”
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