Polynomial Word Problems

Report
WARM UP
Factor:
1. x2 – 4x
SEPT. 6TH

+ 6x – 24
2.
2x2y + 2xy – 40y
3.
25w2 + 30w + 9
4.
8y3 – 64
WORD
PROBLEMS
September 6th
WORD PROBLEM #1
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 #2
The dimensions of a window are 3x + 10 and 2x + 6.
What is the area of the window?

6x2 +38x + 60
WORD PROBLEM #3
Find the area of the figure below.
15
4
x

x2 + 19x + 60
x
WORD PROBLEM #4
Find the area of the figure below.
8
3
x

2x2 + 14x + 24
2x
WORD PROBLEM #6
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
WORD PROBLEM #7
A
box shaped like a rectangular prism has a
volume of 280 in.3. Its dimensions are 4 in
by (n + 2)in. by (n + 5)in. Find n.

n = 5 & -12
WORD PROBLEM #8


You are constructing a frame for the rectangular
photo shown. You want the frame to be the
same width all the way around and total area of
the frame and the photo to be 315 in.2. What
should the outer dimensions of the frame be?
2 in
WORD PROBLEM #9


The number of cars sold in 2010 can be modeled
by the expression x3 + 7x2 – x + 4. In 2000, the
number of cars sold can be modeled by the
expression 4x2 + 3x + 2. Find an expression that
modeled how many more cars were sold in 2010
than in 2000.
x3 + 3x2 – 4x + 2
WORD PROBLEM #10



A rectangle has an area of 7x² + 11x + 4 Find
each of the side lengths & its perimeter.
Side Lengths = (7x + 4) and (x + 1)
Perimeter = 16x + 10
WORD PROBLEM #11


When 2r2 + 33r – 54 and r2 + 18r are factored, a
common factor is what?
(r + 18)
WORD PROBLEM #12


If x + 3 is a factor of x2 – 4x – w , then what is the
value of w?
x–7
HOMEWORK



Worksheet
COMPLETE WORK ON A SEPARATE SHEET
OF PAPER
Staple when you turn in! Thank you!

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