# 8 1 8 4 POLYNOMIAL WORD PROBLEMS Goal

8 -1 – 8 -4 POLYNOMIAL WORD PROBLEMS Goal: Use polynomials to represent real-life situations. Eligible Content: A 1. 1. 1. 5. 1

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

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. 321 t 2 – 1. 036 t + 0. 698 E = 0. 099 t 2 – 0. 120 t + 0. 295 Find a model for the total number of commercial and education sites. Ø T = 0. 42 t 2 – 1. 156 t + 0. 993

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 1890. T = 0. 0086 t 2 + 0. 087 t + 25. 375 M = 0. 0016 t 2 + 0. 315 t + 19. 467 Find a model for the number of women in the US labor force. Ø W = 0. 007 t 2 – 0. 228 t + 5. 908

WORD PROBLEM #3 A triangle has 3 sides with lengths 8 x + 6, 5 x – 5, and -6 x + 12. What is the perimeter of the triangle? Ø 7 x + 13

WORD PROBLEM #4 The dimensions of a window are 3 x + 10 and 2 x + 6. What is the area of the window? Ø 6 x 2 +38 x + 60

WORD PROBLEM #5 Find the area of the figure below. 15 4 x Ø x 2 + 19 x + 60 x

WORD PROBLEM #6 Find the area of the figure below. 8 3 x Ø 2 x 2 + 14 x + 24 2 x

WORD PROBLEM #7 The cost of a video game can be modeled by the equation C = 3 x + 2. The number of games sold can be modeled by the equation N = 8 x – 7. Write a model for the revenue from the sale of the games. Ø R = 24 x 2 – 5 x – 14

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 = 100 x 2 + 500 x – 300 S = 150 x 2 + 450 x + 200 Find an equation that models the profit. A. 50 x 2 – 50 x + 500 B. – 50 x 2 – 50 x + 500 C. 250 x 2 + 950 x + 500 D. 50 x 2 + 950 x + 100

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

PRACTICE Page 469 #44, 51, 58 Page 483 #24

HOMEWORK Worksheet – “Polynomial Word Problems” Get “Notebook Check Grade Sheet” signed

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