How to Solving a Radical Expression with a Variable on Both Sides

How to Solving a Radical Expression with a Variable on Both Sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers complex numbers and basic operations like addition, subtraction, multiplication, and division. It then moves on to solving equations involving square roots by squaring both sides to eliminate the square root. The tutorial explains how to isolate variables and solve for X, emphasizing the importance of understanding operations such as addition and subtraction. Finally, it demonstrates how to verify solutions by plugging them back into the original equations to ensure correctness.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation that involves a square root?

Add a constant to both sides

Multiply both sides by a constant

Square both sides

Divide both sides by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving the equation X + 4 = 3X, what should you do to isolate X?

Divide both sides by 3

Multiply both sides by 3

Subtract X from both sides

Add 4 to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you have 3X - X, what is the simplified form?

0

X

2X

4X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of X in the equation X + 4 = 3X?

X = 0

X = 6

X = 2

X = 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to substitute the solution back into the original equation?

To verify the solution is correct

To find a different solution

To eliminate any constants

To simplify the equation further