This math topic focuses on practicing the Difference of Squares in the context of polynomial algebra. The problems require calculating the difference between the squares of two integers. Each question presents a pair of integers, asks for the difference of their squares, and offers multiple-choice answers. This topic is a part of an advanced unit on Polynomials and Quadratics, emphasizing hands-on problem-solving without the aid of a calculator.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Polynomial Algebra Difference of Squares - Integers to Answer Worksheet

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Polynomial Algebra Difference of Squares - Integers to Answer
1
Find the value of this expression without using a calculator
A LaTex expression showing 155 to the power of 2 - 145 to the power of 2
a
3,300
b
5,100
c
5,400
d
600
e
300
f
3,000
2
Find the value of this expression without using a calculator
A LaTex expression showing 350 to the power of 2 - 250 to the power of 2
a
30,000
b
12,000
c
54,000
d
36,000
e
6,000
f
60,000
3
Find the value of this expression without using a calculator
A LaTex expression showing 455 to the power of 2 - 445 to the power of 2
a
9,000
b
3,600
c
6,300
d
2,700
e
1,800
f
900
4
Find the value of this expression without using a calculator
A LaTex expression showing 2,050 to the power of 2 - 1,950 to the power of 2
a
240,000
b
480,000
c
760,000
d
400,000
e
120,000
f
320,000
5
Find the value of this expression without using a calculator
A LaTex expression showing 2,005 to the power of 2 - 1,995 to the power of 2
a
64,000
b
76,000
c
40,000
d
56,000
e
4,000
f
12,000
6
Find the value of this expression without using a calculator
A LaTex expression showing 255 to the power of 2 - 245 to the power of 2
a
8,500
b
5,000
c
1,500
d
4,000
e
1,000
f
5,500
7
Find the value of this expression without using a calculator
A LaTex expression showing 500 to the power of 2 - 400 to the power of 2
a
72,000
b
27,000
c
36,000
d
117,000
e
90,000
f
108,000
8
Find the value of this expression without using a calculator
A LaTex expression showing 1,550 to the power of 2 - 1,450 to the power of 2
a
150,000
b
60,000
c
210,000
d
510,000
e
360,000
f
300,000