Understanding One-Step Equations

The video tutorial from Moomoomath explains how to solve a one-step equation where x is divided by 3 and equals 9. Initially, a quick solution is provided by multiplying both sides by 3 to find x equals 27. The video then offers a detailed, step-by-step explanation, emphasizing the importance of using multiplication to undo division. The solution is verified by plugging the value back into the original equation. The tutorial concludes with a reminder to always check the solution.

What is the first step in solving the equation x divided by 3 equals 9 quickly?

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

Why might some students incorrectly think the answer to x divided by 3 equals 9 is 3?

• They confuse multiplication with division

• They subtract 3 from both sides

• They divide 9 by 3 instead of solving for x

• They add 3 to both sides

What operation is used to undo division in the equation x divided by 3 equals 9?

• Addition

• Subtraction

• Multiplication

• Division

What happens to the threes on the left side of the equation when you multiply both sides by 3?

• They divide

• They multiply

• They cancel out

• They add up

What is the value of x after solving the equation x divided by 3 equals 9?

• 27

• 3

• 81

• 9

How can you verify the solution to the equation x divided by 3 equals 9?

• By multiplying the solution by 3

• By adding 3 to the solution

• By subtracting 3 from the solution

• By plugging the solution back into the original equation

What is the result when you plug 27 back into the original equation x divided by 3?

• 3

• 9

• 27

• 81