warm-up 8/27/13
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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. - PowerPoint PPT PresentationTRANSCRIPT
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WARM-UP 8/27/13
1.
2.
3.
Add, subtract, or multiply, then simplify.
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POLYNOMIAL WORD PROBLEMSGoal:Use polynomials to represent real-life situations.
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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
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WORD PROBLEM #1From 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 + 0.698E = 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
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WORD PROBLEM #2From 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 + 19.467W = 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
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WORD PROBLEM #3A triangle has 3 sides with lengths 8x + 6, 5x –
5, and -6x + 12. What is the perimeter of the triangle?
7x + 13
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WORD PROBLEM #4The dimensions of a window are 3x + 10 and
2x + 6. What is the area of the window?
6x2 +38x + 60
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WORD PROBLEM #5Find the area of the figure below.
15
x
x
4
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WORD PROBLEM #6Find the area of the figure below.
2x2 + 14x + 24
8 2x
x
3
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WORD PROBLEM #7Find the area of the blue region.
6x2 + 11x + 42
3x
6
2x
7
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WORD PROBLEM #8The 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
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PRACTICE Worksheet – “Polynomial Word Problems”
Choose A scribe A manager A researcher
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MATH IIIPOLYNOMIAL WORD PROBLEMSQUESTION #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.
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MATH IIIPOLYNOMIAL WORD PROBLEMSQUESTION #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.
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MATH IIIPOLYNOMIAL WORD PROBLEMSQUESTION #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.
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MATH IIIPOLYNOMIAL WORD PROBLEMSQUESTION #4
Write a polynomial to represent the shaded region.