Solving Equations and Verification

The video tutorial explains how to solve an equation by isolating the variable X. It begins with simplifying the equation by distributing and combining like terms. The next step involves isolating the variable by undoing operations, followed by solving for X through division. Finally, the solution is verified by substituting the value back into the original equation to ensure it satisfies the equation.

What is the primary goal when solving an equation?

• To isolate the variable x

• To make both sides equal zero

• To find the value of y

• To eliminate all numbers

What is the first step in simplifying the left side of the equation?

• Multiplying by zero

• Subtracting terms

• Distributing a constant

• Adding numbers

What operation is used to eliminate parentheses in the equation?

• Subtraction

• Distribution

• Division

• Addition

How do you isolate the variable term in an equation?

• By squaring both sides

• By dividing both sides

• By adding or subtracting terms

• By multiplying both sides

What is the opposite operation of subtraction in an equation?

• Multiplication

• Division

• Addition

• Exponentiation

What is the final step to solve for x in the equation?

• Adding a constant

• Multiplying by zero

• Dividing by the coefficient of x

• Subtracting a constant

What does dividing both sides by the coefficient of x achieve?

• It eliminates x

• It squares x

• It doubles x

• It isolates x

What should you do to verify the solution of an equation?

• Check if x is positive

• Substitute the solution back into the original equation

• Multiply the solution by zero

• Add the solution to both sides

What is the result when substituting the solution back into the original equation?

• The equation becomes zero

• The equation becomes false

• The equation becomes undefined

• The equation becomes true

Why is it important to verify the solution of an equation?

• To eliminate the variable

• To change the solution

• To make the equation more complex

• To ensure the solution is correct