Solving Radical Equations Challenge

What is a radical equation?

• An equation involving logarithms

• An equation that includes at least one radical

• An equation that only uses integers

• An equation with exponential functions

What is the first step in solving a radical equation?

• Add constants to both sides

• Divide both sides by the coefficient of x

• Isolate the square root

• Square both sides immediately

In the equation sqrt(4x) = 2, what is the value of x after solving?

• 2

• 1

• 4

• 0.5

How do you handle an equation where the square root is not by itself?

• None of the above

• Multiply both sides by the square root

• Isolate the square root first

• Square both sides first

What is the result of x in the equation sqrt(x + 67) = 8?

• 3

• 1

• 67

• -3

In the equation 3 + sqrt(2x - 3) = 8, what is the value of x?

• 14

• 28

• 7

• 3

What happens when you square both sides of an equation containing square roots?

• Both A and B

• The equation becomes a quadratic

• The square roots are eliminated

• None of the above

In the equation sqrt(3x - 5) = sqrt(x + 1), what is the value of x?

• -1

• 1

• 5

• 3

What is the solution for x in the equation sqrt(2x + 2) = sqrt(4x - 12)?

• 7

• 28

• 3

• 14

When solving equations with more than one square root, what is a crucial step?

• Divide both sides by the coefficient of x

• Square both sides to eliminate square roots

• Combine like terms first

• Subtract one square root from the other