WARM-UP 8/27/13
1.
2.
3.
Add, subtract, or multiply, then simplify.
POLYNOMIAL WORD PROBLEMSGoal:
Use polynomials to represent real-life situations.
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 = 0.321t2 – 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
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 + 19.467W = 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
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
WORD PROBLEM #4
The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window?
6x2 +38x + 60
WORD PROBLEM #5
Find the area of the figure below.
15
x
x
4
WORD PROBLEM #6
Find the area of the figure below.
2x2 + 14x + 24
8 2x
x
3
WORD PROBLEM #7
Find the area of the blue region.
6x2 + 11x + 42
3x
6
2x
7
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
PRACTICE
Worksheet – “Polynomial Word Problems”
Choose A scribe A manager A researcher
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.
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.
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.
MATH IIIPOLYNOMIAL WORD PROBLEMSQUESTION #4
Write a polynomial to represent the shaded region.