Solving Algebraic Equations with the GOAT

The video tutorial guides viewers through solving a simple algebraic equation, 2x - 3 = 7, by isolating the variable x. The instructor uses relatable analogies and step-by-step instructions to demonstrate how to balance both sides of the equation, first by adding 3 to both sides and then dividing by 2. The tutorial concludes with the solution x = 5, encouraging viewers to engage with the content by liking and subscribing.

What is the main goal when solving the equation 2x - 3 = 7?

• To find the value of x

• To make both sides equal

• To eliminate all numbers

• To add more variables

What is the first step to isolate x in the equation 2x - 3 = 7?

• Subtract 3 from both sides

• Divide both sides by 2

• Add 3 to both sides

• Multiply both sides by 2

Why do we add 3 to both sides of the equation 2x - 3 = 7?

• To make the equation more complex

• To cancel out the -3

• To increase the value of x

• To change the variable

What is the result of adding 3 to both sides of the equation 2x - 3 = 7?

• 2x = 7

• 2x = 0

• 2x = 10

• 2x = 4

What operation is used to solve for x in the equation 2x = 10?

• Subtraction

• Addition

• Division

• Multiplication

What is the value of x in the equation 2x = 10?

• x = 10

• x = 5

• x = 20

• x = 2

What is the opposite operation of multiplication used in solving 2x = 10?

• Division

• Subtraction

• Addition

• Exponentiation

Why is it important to perform the same operation on both sides of an equation?

• To keep the equation balanced

• To change the variable

• To make the equation more complex

• To eliminate the variable

What happens to the coefficient of x when you divide both sides of 2x = 10 by 2?

• It becomes 1

• It becomes 0

• It doubles

• It remains the same

What should you do after solving an equation to ensure understanding?

• Add more variables

• Change the equation

• Ignore the solution

• Check the solution by substituting back