Solving Equations with Square Roots

The video tutorial demonstrates how to solve for the variable y by using the square root property. The instructor begins by emphasizing the importance of isolating the variable in equations. Then, the square root property is applied to undo the squaring of y plus 5. Finally, the instructor shows how to solve the equation by taking the square root of both sides and subtracting 5 to find that y equals 5.

What is the first step in solving for a variable in an equation?

• Multiply both sides by zero

• Isolate the variable

• Add a constant to both sides

• Divide by the variable

Why is it important to isolate the variable when solving an equation?

• To simplify the equation

• To eliminate the variable

• To ensure the variable is on both sides

• To make the equation more complex

What property is applied to solve the given problem?

• Multiplication property

• Addition property

• Square root property

• Division property

What is the purpose of using the square root property in this context?

• To add a constant to both sides

• To undo the squaring of a term

• To divide both sides by a constant

• To multiply both sides by a variable

What operation is performed to undo the squaring of y plus 5?

• Addition

• Multiplication

• Subtraction

• Taking the square root

What is the result of taking the square root of zero?

• Undefined

• Zero

• Negative one

• One

After taking the square root, what equation do we get?

• y plus five equals zero

• y divided by five equals zero

• y minus five equals zero

• y times five equals zero

What is the next step after obtaining y plus five equals zero?

• Divide both sides by five

• Add five to both sides

• Subtract five from both sides

• Multiply both sides by five

What is the final value of y after solving the equation?

• Zero

• Five

• Negative five

• Ten

What is the purpose of subtracting five from both sides?

• To multiply the variable y

• To add complexity to the equation

• To isolate the variable y

• To eliminate the variable y