Radical Equations Quiz

What is the first step in solving a radical equation?

• Square both sides

• Add a constant to both sides

• Divide both sides by a constant

• Multiply both sides by a variable

Why is it important to check for extraneous solutions?

• To find additional solutions

• To ensure all solutions are positive

• To simplify the equation further

• To verify the solutions satisfy the original equation

In the second equation, what is the correct solution?

• P = 2

• P = -2

• P = -1

• P = 1

What is the solution for the third equation?

• X = -5

• X = 6

• X = 5

• X = -6

For the fourth equation, what are the valid solutions?

• X = 0 and X = 8

• X = 8 and X = -8

• X = -8 and X = 0

• X = 0 and X = -8

In the fifth equation, why is X = -7 not a valid solution?

• Because it is greater than the square root

• Because it is not an integer

• Because it is not a real number

• Because it does not satisfy the original equation

What is the solution for the sixth equation?

• R = -4

• R = 3

• R = -3

• R = 4

In the seventh equation, what are the valid solutions?

• N = -4 and N = 0

• N = 0 and N = 4

• N = 0 and N = -4

• N = 4 and N = -4

What is the purpose of factoring in solving these equations?

• To eliminate variables

• To simplify the equation

• To find the roots of the equation

• To add complexity to the problem

Why can't the square root of a number be negative?

• Because it is always negative

• Because it is always zero

• Because it is undefined

• Because it is always positive