How to Solve a Radical Equation by Squaring Both Sides

How to Solve a Radical Equation by Squaring Both Sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an equation by squaring both sides and applying the FOIL method to multiply binomials. It demonstrates the process of isolating variables and solving for x, followed by verifying the solution through substitution.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step to undo a square root in an equation?

Subtract the same number from both sides

Divide both sides by the same number

Add the same number to both sides

Square both sides of the equation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the FOIL method, what does the 'O' stand for?

Opposite

Over

Order

Outer

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After applying the FOIL method, what should you do next to simplify the equation?

Divide the terms on both sides

Add the terms on both sides

Subtract the squared terms on both sides

Multiply the terms on both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first operation to perform when isolating a variable?

Undo addition or subtraction

Undo division

Undo exponentiation

Undo multiplication

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the solution of an equation?

By using a calculator

By comparing with a different equation

By checking if the solution satisfies the original equation

By solving the equation again