This math topic focuses on operations involving polynomial algebra with an emphasis on solving equations resulting from the difference or sum of powers of variables divided by another power. Each problem presents an equation where the results of subtraction or addition between exponential terms are divided by one of the terms, and students are tasked to find the variable's value without using a calculator. The equations involve large powers of variables, testing advanced understanding of polynomials and quadratic equations.

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Polynomial Algebra - Difference of Exponents (Variables) Divided by Second Exponent - Solve Worksheet

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Polynomial Algebra - Difference of Exponents (Variables) Divided by Second Exponent - Solve
1
Find the value of c without using a calculator
A LaTex expression showing \frac{c to the power of 2021 - c to the power of 2020 }{c to the power of 2020 } = 10
a
c = 3
b
c = 13
c
c = 16
d
c = 5
e
c = 9
f
c = 11
2
Find the value of p without using a calculator
A LaTex expression showing \frac{p to the power of 2014 - p to the power of 2013 }{p to the power of 2013 } = 7
a
p = 3
b
p = 10
c
p = 5
d
p = 8
e
p = 6
f
p = 12
3
Find the value of y without using a calculator
A LaTex expression showing \frac{y to the power of 2010 + y to the power of 2009 }{y to the power of 2009 } = 12
a
y = 17
b
y = 11
c
y = 6
d
y = 20
e
y = 8
f
y = 5
4
Find the value of n without using a calculator
A LaTex expression showing \frac{n to the power of 2008 - n to the power of 2007 }{n to the power of 2007 } = 11
a
n = 6
b
n = 5
c
n = 20
d
n = 12
e
n = 8
f
n = 14
5
Find the value of n without using a calculator
A LaTex expression showing \frac{n to the power of 2028 + n to the power of 2027 }{n to the power of 2027 } = 7
a
n = 5
b
n = 10
c
n = 1
d
n = 6
e
n = 8
f
n = 13
6
Find the value of b without using a calculator
A LaTex expression showing \frac{b to the power of 2009 - b to the power of 2008 }{b to the power of 2008 } = 9
a
b = 5
b
b = 15
c
b = 17
d
b = 10
e
b = 19
f
b = 11
7
Find the value of d without using a calculator
A LaTex expression showing \frac{d to the power of 2028 - d to the power of 2027 }{d to the power of 2027 } = 20
a
d = 9
b
d = 37
c
d = 27
d
d = 39
e
d = 7
f
d = 21
8
Find the value of r without using a calculator
A LaTex expression showing \frac{r to the power of 2013 + r to the power of 2012 }{r to the power of 2012 } = 22
a
r = 39
b
r = 23
c
r = 17
d
r = 5
e
r = 21
f
r = 33