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Warm-up 8/27/13

Warm-up 8/27/13. Add, subtract, or multiply, then simplify. 1. . 2. . 3. . Polynomial Word Problems. Goal: Use polynomials to represent real-life situations. Word Problems. Decide if the problem involves addition, subtraction or multiplication.

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Warm-up 8/27/13

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  1. Warm-up 8/27/13 Add, subtract, or multiply, then simplify. 1. 2. 3.

  2. Polynomial Word Problems Goal: Use polynomials to represent real-life situations.

  3. 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. 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 + 0.698 E = 0.099t2 – 0.120t + 0.295 Find a model for the total number of commercial and education sites. • T = 0.42t2 – 1.156t + 0.993

  5. Word Problem #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 = 0.0016t2 + 0.315t + 19.467 W = 0.007t2 – 0.228t + 5.908 Find a model for the total number of people in the US labor force. • T = 0.0086t2 + 0.087t + 25.375

  6. 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

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

  8. Word Problem #5 Find the area of the figure below. 15 x 4 x

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

  10. Word Problem #7 Find the area of the blue region. • 6x2 + 11x + 42 3x 6 7 2x

  11. Word Problem #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 = 24x2 – 5x – 14

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

  13. Math IIIPolynomial Word Problems Question #1 A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area of plot A can be represented by , and the area of plot B can be represented by . Write a polynomial that represents the total area of both plots of land.

  14. Math IIIPolynomial Word Problems Question #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. Math IIIPolynomial Word Problems Question #3 A painter must add the areas of two walls to determine the amount of paint needed. The area of the first wall is modeled by , and the area of the second wall is modeled by . Write a polynomial that represents the total area of the two walls.

  16. Math IIIPolynomial Word Problems Question #4 Write a polynomial to represent the shaded region.

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