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Square and Square Root Equation Solving (Level 1)

This math topic focuses on solving equations involving squares and square roots, an advanced part of studying exponents. It includes finding variables when given equations like the square root of a variable equaling a number, or a variable squared equaling a number. Multiple choice answers are provided for each problem, requiring students to determine the correct number that satisfies the equation. The exercises help reinforce understanding of basic principles of squares, square roots, and their relationships. Examples include equations like \( \sqrt{y} = 5 \) and \( b^2 = 4 \).

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

b2=4b^2 = 4

Square and Square Root Equation Solving Worksheet

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Math worksheet on 'Square and Square Root Equation Solving (Level 1)'. 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 square root of y = 5
a
y = 25
b
y = 20
c
y = 34
d
y = 24
e
y = 44
f
y = 41
2
Solve for the variable in the equation
A LaTex expression showing square root of d = 2
a
d = 10
b
d = 1
c
d = 4
d
d = 7
e
d = 13
f
d = 9
3
Solve for the variable in the equation
A LaTex expression showing b to the power of 2 = 4
a
b = 2
b
b = 3
c
b = 4
d
b = 5
e
b = 0
f
b = 1
4
Solve for the variable in the equation
A LaTex expression showing square root of p = 4
a
p = 19
b
p = 17
c
p = 14
d
p = 29
e
p = 16
f
p = 21
5
Solve for the variable in the equation
A LaTex expression showing p to the power of 2 = 16
a
p = 4
b
p = 6
c
p = 5
d
p = 7
e
p = 3
f
p = 2
6
Solve for the variable in the equation
A LaTex expression showing m to the power of 2 = 9
a
m = 6
b
m = 2
c
m = 1
d
m = 4
e
m = 3
f
m = 5
7
Solve for the variable in the equation
A LaTex expression showing b to the power of 2 = 25
a
b = 8
b
b = 6
c
b = 5
d
b = 3
e
b = 4
f
b = 7