Solving Equations and Checking Solutions

The video tutorial explains how to solve an equation by simplifying both sides, isolating the variable terms, solving for the variable, and verifying the solution. It begins with distributing and combining like terms, then moves to isolating the variable by subtracting terms. Finally, it solves for the variable by dividing and checks the solution by substituting back into the original equation.

What is the first step in solving an equation?

• Combining like terms

• Distributing to clear parentheses

• Subtracting variables

• Adding constants

What is the purpose of distributing in an equation?

• To subtract variables

• To add constants

• To divide terms

• To clear parentheses

After distributing, what should be done next?

• Multiply by a constant

• Add constants

• Subtract variables

• Combine like terms

What does combining like terms achieve in an equation?

• It eliminates variables

• It changes the solution

• It complicates the equation

• It simplifies the equation

How do you isolate variable terms on one side of the equation?

• Add or subtract terms

• Multiply by a constant

• Divide by a constant

• Combine like terms

What operation is used to isolate the variable after simplifying?

• Division

• Addition

• Subtraction

• Multiplication

What is the solution to the equation after solving for the variable?

• x = 5

• x = 11

• x = 22

• x = -11

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

• To find a different solution

• To ensure the solution is correct

• To change the variable

• To simplify the equation further

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

• The solution becomes invalid

• The equation becomes more complex

• The equation is verified as correct

• The equation changes its form

What is the final step in solving an equation?

• Checking the solution

• Adding constants

• Subtracting variables

• Multiplying terms