Solving Equations and Isolating Variables

The video tutorial demonstrates solving equations for specific variables. It covers four examples: isolating B in A + B = C, W in V + W - X = Y, R in RT = W, and B in 2BH = V. Each example involves using inverse operations to isolate the desired variable on one side of the equation, ensuring a clear understanding of the process.

What operation is used to isolate B in the equation a + b = c?

• Add a to both sides

• Subtract a from both sides

• Multiply both sides by a

• Divide both sides by a

In the equation a + b = c, what is the result of subtracting a from both sides?

• b = c + a

• b = c - a

• b = a - c

• b = a + c

In the equation V + W - x = y, what is the first step to isolate W?

• Divide both sides by V

• Multiply both sides by x

• Add x to both sides

• Subtract V from both sides

After adding x to both sides in the equation V + W - x = y, what is the next step to solve for W?

• Divide both sides by V

• Multiply both sides by V

• Subtract V from both sides

• Add V to both sides

What is the final form of the equation V + W - x = y when solved for W?

• W = y + x - V

• W = x + y - V

• W = x - y + V

• W = y - x + V

What operation is used to isolate R in the equation rt = w?

• Add t to both sides

• Subtract t from both sides

• Multiply both sides by t

• Divide both sides by t

In the equation rt = w, what does dividing both sides by t achieve?

• It subtracts t from the right side

• It multiplies t on both sides

• It adds t to the right side

• It cancels out t on the left side

What is the first step to solve for B in the equation 2bh = V?

• Subtract 2h from both sides

• Add 2h to both sides

• Divide both sides by 2h

• Multiply both sides by 2h

In the equation 2bh = V, what does dividing both sides by 2h result in?

• B = V * 2h

• B = V / 2h

• B = V - 2h

• B = V + 2h

What is the result of simplifying 2/2 in the equation 2bh = V?

• 2

• 0

• h

• 1