This topic focuses on practicing the difference of squares in polynomial algebra. Students are tasked with calculating expressions involving the difference of two squared integers, divided by another integer, without using a calculator. The problems form an integral part of an advanced study unit on polynomials and quadratics. Each question requires simplifying a complex algebraic expression to identify the correct answer from multiple choices. Solving these problems helps solidify understanding of polynomial operations and applying the difference of squares formula in various scenarios.

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 Divided by Factor to Answer Worksheet

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Polynomial Algebra Difference of Squares - Integers Divided by Factor to Answer
1
Find the value of this expression without using a calculator
A LaTex expression showing \frac{355 to the power of 2 - 345 to the power of 2 }{700}
a
17
b
2
c
3
d
14
e
10
f
4
2
Find the value of this expression without using a calculator
A LaTex expression showing \frac{550 to the power of 2 - 450 to the power of 2 }{1,000}
a
180
b
120
c
190
d
40
e
150
f
100
3
Find the value of this expression without using a calculator
A LaTex expression showing \frac{155 to the power of 2 - 145 to the power of 2 }{300}
a
12
b
2
c
18
d
10
e
13
f
14
4
Find the value of this expression without using a calculator
A LaTex expression showing \frac{2,050 to the power of 2 - 1,950 to the power of 2 }{100}
a
6,000
b
5,200
c
2,000
d
4,800
e
3,600
f
4,000
5
Find the value of this expression without using a calculator
A LaTex expression showing \frac{455 to the power of 2 - 445 to the power of 2 }{10}
a
1,080
b
1,260
c
450
d
900
e
1,350
f
180
6
Find the value of this expression without using a calculator
A LaTex expression showing \frac{550 to the power of 2 - 450 to the power of 2 }{100}
a
1,100
b
1,800
c
1,400
d
1,500
e
1,000
f
300
7
Find the value of this expression without using a calculator
A LaTex expression showing \frac{250 to the power of 2 - 150 to the power of 2 }{100}
a
400
b
640
c
760
d
280
e
480
f
240
8
Find the value of this expression without using a calculator
A LaTex expression showing \frac{250 to the power of 2 - 150 to the power of 2 }{400}
a
60
b
80
c
90
d
100
e
170
f
140