This math topic focuses on solving polynomial expressions under square roots of the form \(\sqrt{x^2 + 2x + 1}\). Each of the seven questions provides a different numerical value on the right side of the equation from which students are expected to find the value of the variable \(x\). The problems are designed to help reinforce skills in handling and simplifying polynomial expressions, particularly those involving squared terms and square roots.

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Polynomial Algebra X plus 1 Squared - Squared Variables under Square Root - Solve Worksheet

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Polynomial Algebra X plus 1 Squared - Squared Variables under Square Root - Solve
1
Find the value of y without using a calculator
A LaTex expression showing square root of y to the power of 2 + 2y + 1 = 11
a
y = 16
b
y = 12
c
y = 3
d
y = 15
e
y = 10
f
y = 17
2
Find the value of r without using a calculator
A LaTex expression showing square root of r to the power of 2 + 2r + 1 = 24
a
r = 17
b
r = 41
c
r = 3
d
r = 27
e
r = 23
f
r = 5
3
Find the value of p without using a calculator
A LaTex expression showing square root of p to the power of 2 + 2p + 1 = 23
a
p = 22
b
p = 10
c
p = 34
d
p = 4
e
p = 32
f
p = 36
4
Find the value of x without using a calculator
A LaTex expression showing square root of x to the power of 2 + 2x + 1 = 10
a
x = 15
b
x = 9
c
x = 11
d
x = 3
e
x = 14
f
x = 1
5
Find the value of q without using a calculator
A LaTex expression showing square root of q to the power of 2 + 2q + 1 = 14
a
q = 8
b
q = 19
c
q = 14
d
q = 16
e
q = 5
f
q = 13
6
Find the value of r without using a calculator
A LaTex expression showing square root of r to the power of 2 + 2r + 1 = 25
a
r = 28
b
r = 16
c
r = 6
d
r = 10
e
r = 40
f
r = 24
7
Find the value of z without using a calculator
A LaTex expression showing square root of z to the power of 2 + 2z + 1 = 19
a
z = 11
b
z = 18
c
z = 27
d
z = 19
e
z = 15
f
z = 24
8
Find the value of p without using a calculator
A LaTex expression showing square root of p to the power of 2 + 2p + 1 = 13
a
p = 13
b
p = 16
c
p = 12
d
p = 11
e
p = 15
f
p = 10