Understanding and Solving Radical Equations

What percentage of students does the teacher estimate can solve the given problem?

• 20%

• 15%

• 10%

• 5%

What is the first step in solving a radical equation?

• Combine like terms

• Isolate the radical

• Use the FOIL method

• Factor the equation

When you have two radicals in an equation, what additional step is necessary?

• Add them together

• Square them multiple times

• Subtract one from the other

• Divide by a constant

What method is used to multiply binomials in the context of this problem?

• Completing the square

• Quadratic formula

• Distributive method

• FOIL method

What is the result of squaring the expression (2 - 3m + 4)?

• 4 - 6m + 16

• 4 - 12m + 16

• 4 - 8m + 16

• 4 - 4m + 16

What should you do when you have an opportunity to simplify an equation?

• Simplify by factoring or dividing

• Multiply by a constant

• Ignore it

• Add more terms

What type of equation do you end up with after removing all radicals?

• Exponential equation

• Cubic equation

• Quadratic equation

• Linear equation

What is an extraneous root?

• A root that satisfies the original equation

• A root that does not satisfy the original equation

• A root that is always positive

• A root that is always negative

What should you do after finding potential solutions to a quadratic equation?

• Use them in another equation

• Ignore them

• Check them in the original equation

• Assume they are correct

Which solution was found to be extraneous in this problem?

• m = -1

• m = 1

• m = 15

• m = 0