This math topic focuses on solving algebraic expressions involving the difference of squares, where learners find variable values by manipulating these expressions. The topic includes simplifying fractions with polynomials, specifically using the formula for the difference of squares, and solving resulting linear equations. Each problem provides a polynomial equation set equal to a constant, challenging participants to identify the correct variable value from multiple choices. This is a part of an advanced study on polynomials and quadratics, aimed at enhancing algebraic manipulation and problem-solving skills.

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Polynomial Algebra Difference of Squares - Variables Divided by Term - Solve Worksheet

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Polynomial Algebra Difference of Squares - Variables Divided by Term - Solve
1
Find the value of n without using a calculator
A LaTex expression showing \frac{n to the power of 2 - 1}{n - 1} = 11
a
n = 11
b
n = 8
c
n = 7
d
n = 17
e
n = 6
f
n = 10
2
Find the value of z without using a calculator
A LaTex expression showing \frac{z to the power of 2 - 81}{z + 9} = 2
a
z = 14
b
z = 15
c
z = 17
d
z = 11
e
z = 4
f
z = 5
3
Find the value of m without using a calculator
A LaTex expression showing \frac{m to the power of 2 - 16}{m + 4} = 2
a
m = 13
b
m = 10
c
m = 2
d
m = 6
e
m = 7
f
m = 5
4
Find the value of x without using a calculator
A LaTex expression showing \frac{x to the power of 2 - 25}{x - 5} = 15
a
x = 15
b
x = 18
c
x = 10
d
x = 7
e
x = 1
f
x = 9
5
Find the value of z without using a calculator
A LaTex expression showing \frac{z to the power of 2 - 49}{z - 7} = 16
a
z = 18
b
z = 15
c
z = 10
d
z = 4
e
z = 6
f
z = 9
6
Find the value of p without using a calculator
A LaTex expression showing \frac{p to the power of 2 - 36}{p + 6} = 3
a
p = 12
b
p = 9
c
p = 8
d
p = 16
e
p = 7
f
p = 2
7
Find the value of x without using a calculator
A LaTex expression showing \frac{x to the power of 2 - 81}{x - 9} = 22
a
x = 5
b
x = 14
c
x = 13
d
x = 11
e
x = 12
f
x = 8
8
Find the value of n without using a calculator
A LaTex expression showing \frac{n to the power of 2 - 25}{n + 5} = 8
a
n = 15
b
n = 3
c
n = 13
d
n = 16
e
n = 17
f
n = 9