Solving Equations and Verifying Solutions

The video tutorial guides viewers through translating a word problem into an equation and solving it. The problem involves determining how many final exams a teacher graded last year, given that they graded 63 more exams this year, totaling 624. The variable x is used to represent last year's exams, leading to the equation x + 63 = 624. By solving this equation, viewers find that x equals 561, which is verified by substituting back into the original equation.

What is the first step in solving the problem presented in the video?

• Guessing the number of exams graded last year

• Translating the information into an equation

• Ignoring the problem statement

• Calculating the total number of exams

Which variable is used to represent the number of exams graded last year?

• x

• y

• a

• z

How is the expression for the number of exams graded this year formed?

• x divided by 63

• x times 63

• x minus 63

• x plus 63

What does the equation x + 63 = 624 represent in the context of the problem?

• The difference in exams graded between two years

• The number of exams graded last year

• The total number of exams graded over two years

• The number of exams graded this year

What operation is performed to isolate the variable x in the equation?

• Subtraction

• Division

• Multiplication

• Addition

What is the result of subtracting 63 from 624?

• 561

• 600

• 500

• 550

What is the final value of x, representing the exams graded last year?

• 624

• 561

• 500

• 600

Why is it important to verify the solution?

• To change the variable used

• To find a different solution

• To check if the solution satisfies the original equation

• To ensure the equation is set up correctly

What is the result when substituting 561 for x in the equation x + 63 = 624?

• 561

• 624

• 600

• 500

What is the significance of the statement '624 equals 624 is true'?

• It shows the equation is incorrect

• It verifies the solution is correct

• It suggests a different solution

• It indicates a calculation error