Balancing Equations and Solving for X

The video tutorial demonstrates how to solve a one-step equation, X - 2 = 3, by modeling the equation on a scale, balancing the scale, and solving for X. The process involves bringing over variables and constants, balancing both sides by adding opposites, and canceling out terms to isolate X, resulting in X = 5.

What is the initial equation that needs to be solved?

• X + 2 = 3

• X - 2 = 3

• X - 3 = 2

• X + 3 = 2

What is the first step in solving the equation?

• Multiply both sides by 2

• Model the equation on a scale

• Subtract 3 from both sides

• Add 2 to both sides

How is X - 2 represented on the scale?

• X and two positive ones

• X and two negative ones

• Three positive ones

• Two Xs and one negative one

What is placed on the right side of the scale?

• Two negative ones

• Three positive ones

• Three negative ones

• Two positive ones

What is the purpose of modeling the equation on a scale?

• To remove all numbers

• To visualize the equation

• To add more variables

• To make the equation harder

What is the goal of balancing the scale?

• To remove all numbers

• To multiply both sides

• To add more variables

• To make both sides equal

What is done to cancel out the negative ones?

• Add two negative ones

• Add two positive ones

• Multiply by two

• Subtract two positive ones

What must be done to the right side when adding to the left side?

• Add the same amount

• Divide by the same amount

• Subtract the same amount

• Multiply by the same amount

Why do we add positive ones to the left side?

• To increase the value of X

• To cancel out negative ones

• To decrease the value of X

• To make the equation more complex

What is the result of balancing the scale?

• Both sides are unequal

• The equation becomes more complex

• The equation is unsolvable

• Both sides are equal