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Square and Square Root Equation Solving (Level 2)

This math topic focuses on solving equations involving squares and square roots at an advanced level. Specifically, students practice finding the values of variables that satisfy equations of the form \( x^2 = k \) and \( \sqrt{y} = m \), where \( k \) and \( m \) are numerical constants. Each problem presents an equation and multiple answer choices. The questions test understanding of exponents, squaring, and finding square roots, integral components in mastering higher-level exponents. This set of problems is useful for students looking to reinforce their skills in dealing with quadratic equations and their roots.

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

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Square and Square Root Equation Solving

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve for the variable in the equation

n2=36n^2 = 36

Square and Square Root Equation Solving Worksheet

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Math worksheet on 'Square and Square Root Equation Solving (Level 2)'. Part of a broader unit on 'Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_practice/
1
Solve for the variable in the equation
A LaTex expression showing y to the power of 2 = 49
a
y = 7
b
y = 5
c
y = 6
d
y = 10
e
y = 9
f
y = 8
2
Solve for the variable in the equation
A LaTex expression showing n to the power of 2 = 36
a
n = 9
b
n = 8
c
n = 7
d
n = 4
e
n = 5
f
n = 6
3
Solve for the variable in the equation
A LaTex expression showing square root of b = 7
a
b = 44
b
b = 46
c
b = 64
d
b = 49
e
b = 54
f
b = 60
4
Solve for the variable in the equation
A LaTex expression showing square root of r = 6
a
r = 37
b
r = 52
c
r = 46
d
r = 36
e
r = 43
f
r = 39