WARM-UP 8/27/13

1.

2.

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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.