Solving Equations for Indicated Variables

The video tutorial explains how to solve equations for a specific variable. It covers two examples: isolating X in the equation y = a + bX by subtracting a and dividing by b, and isolating H in the equation V = πr²H by dividing by π and r². The tutorial emphasizes the importance of performing inverse operations to isolate the desired variable.

What is the first step in solving for X in the equation y = a + BX?

• Divide both sides by B

• Add a to both sides

• Subtract a from both sides

• Multiply both sides by B

After subtracting a from both sides in the equation y = a + BX, what is the next step?

• Multiply both sides by X

• Subtract B from both sides

• Add B to both sides

• Divide both sides by B

In the equation y = a + BX, why can't you directly subtract a from y?

• They are not like terms

• a is a constant

• y is a variable

• B is a coefficient

What is the result of isolating X in the equation y = a + BX?

• X = (y + a) / B

• X = (y - a) / B

• X = y / (a + B)

• X = y / (a - B)

When solving for H, what operation is used to remove PI and R squared from the equation?

• Division

• Multiplication

• Addition

• Subtraction

Is it possible to divide by more than one term at a time when solving for H?

• No, division by multiple terms is not allowed

• Yes, you can divide by both PI and R squared simultaneously

• No, you must divide by each term separately

• Yes, but only if the terms are constants

What is the final expression for H after isolating it in the equation?

• H = V / (PI * R^2)

• H = V - (PI * R^2)

• H = V * PI * R^2

• H = V / (PI + R^2)

Why is it necessary to divide by both PI and R squared when solving for H?

• To subtract the terms from the equation

• To eliminate the terms from the equation

• To add the terms to the equation

• To multiply the terms in the equation