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WorksheetsFactoring Application Problems
Total questions: 8
Worksheet time: 11mins
Name
Class
Date
1.
Which of the following is a difference of perfect squares?
a)
x2 - 18
b)
4x2 + 36
c)
9x2 - 100
d)
x2 + 4
2.
A rectangle has an area of 2x2 – 19x +45 ft2. What are the dimensions of the rectangle?
a)
(2x - 9)(x - 5)
b)
(2x + 9)(x + 5)
c)
(2x - 5)(x - 9)
d)
(2x - 5)(x + 9)
3.
If a closet has length of
(x + 2) ft and width of
(3x - 7) ft, what is the area of the closet?
(x + 2) ft and width of
(3x - 7) ft, what is the area of the closet?
a)
3x2 + x - 14
b)
3x2 - 13x - 14
c)
3x2 - x - 14
d)
3x2 +13x - 14
4.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3
5.
A rectangle has an area of k2 -2k - 24, what is the length & width of the rectangle?
a)
(k+4) & (k-6)
b)
(k+4) & (k+6)
c)
(k+6) & (k-1)
d)
(k-4) & (k+6)
6.
Find the area of the rectangle.
a)
9x2 - 2x
b)
9x2 - 2
c)
10x - 2
d)
20x - 4
7.
Find the perimeter of the rectangle.
a)
5x + 5
b)
10x + 10
c)
20x + 4
d)
20x
8.
A square fountain has an area of 4x2 + 36x + 81. What is the length of one side of the fountain?
a)
9x + 2
b)
9 - 2x
c)
2x - 9
d)
2x + 9
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