Solving Two-Step Equations

The video tutorial explains how to solve a two-step equation. It begins by introducing the concept of two-step equations and proceeds to demonstrate the first step, which involves moving a constant to the other side of the equation to balance it. The second step involves dividing by the coefficient to isolate the variable. The tutorial concludes with a verification process, substituting the solution back into the original equation to ensure its correctness.

What is the first step in solving a two-step equation?

• Subtract the same number from both sides

• Multiply both sides by the same number

• Divide both sides by the same number

• Add the same number to both sides

Why do we add 9 to both sides of the equation in the first step?

• To make the equation more complex

• To balance the equation

• To simplify the equation

• To eliminate the variable

What is the purpose of dividing by 3 in the second step?

• To eliminate the variable

• To make the equation more complex

• To isolate the variable

• To balance the equation

After dividing by 3, what is the value of x?

• 8

• 9

• 7

• 6

How do we verify the solution of the equation?

• By subtracting the solution from both sides

• By multiplying the solution by both sides

• By adding the solution to both sides

• By checking if both sides of the equation are equal

What should the result be when substituting the solution back into the original equation?

• The result should be equal to the original constant

• The result should be a positive number

• The result should be zero

• The result should be a negative number

What is the final check to ensure the solution is correct?

• Both sides of the equation should be equal

• The equation should have no variables left

• The left side should be greater than the right side

• The right side should be greater than the left side

What is the main takeaway from solving a two-step equation?

• Always multiply first

• Always divide first

• Balance the equation by performing inverse operations

• Use only addition and subtraction