polynnomial word problem

1. 8-1 – 8-4 POLYNOMIAL
WORD PROBLEMS
Goal:
Use polynomials to represent real-life situations.
Eligible Content:
A1.1.1.5.1

2. 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

3. 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

4. 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 = 0.0086t2 + 0.087t + 25.375
M = 0.0016t2 + 0.315t + 19.467
Find a model for the number of women in the US
labor force.
 W = 0.007t2 – 0.228t + 5.908

5. 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

6. WORD PROBLEM #4
The dimensions of a window are 3x + 10 and 2x + 6.
What is the area of the window?
 6x2 +38x + 60

7. WORD PROBLEM #5
Find the area of the figure below.
 x2 + 19x + 60
15 x
x
4

8. WORD PROBLEM #6
Find the area of the figure below.
 2x2 + 14x + 24
8 2x
x
3

9. WORD PROBLEM #7
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

10. A. 50x2
– 50x + 500
B. –50x2
– 50x + 500
C. 250x2
+ 950x + 500
D. 50x2
+ 950x + 100
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 = 100x2
+ 500x – 300
S = 150x2
+ 450x + 200
Find an equation that models the profit.

11. A. 7x + 3 units2
B. 12x2
+ 11x + 2 units2
C. 12x2
+ 8x + 2 units2
D. 7x2
+ 11x + 3 units2
Write an expression for the
area of the rectangle.

12. PRACTICE
 Page 469 #44, 51, 58
 Page 483 #24

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