What is transposition?

What is transposition?

• A. Adding terms on both sides
• B. Separating the equation, getting the chosen part on its own
• C. Differentiating both sides
• D. Multiplying by zero

Answer: (B)

Transposition means isolating the variable or quantity you’re solving for by rearranging the equation and moving terms from one side to the other using inverse operations. In practice, you separate the equation so the chosen part sits on its own. For example, from x + 5 = 12, transposing gives x = 12 − 5. More generally, if A = B + C, you can transpose to get B = A − C. This relies on opposite operations to both sides of the equation to keep the equality true. The other ideas don’t fit because simply adding terms on both sides doesn’t necessarily isolate the target, differentiating is a calculus operation, and multiplying by zero is not a valid way to solve for a variable.

Transposition means isolating the variable or quantity you’re solving for by rearranging the equation and moving terms from one side to the other using inverse operations. In practice, you separate the equation so the chosen part sits on its own. For example, from x + 5 = 12, transposing gives x = 12 − 5. More generally, if A = B + C, you can transpose to get B = A − C. This relies on opposite operations to both sides of the equation to keep the equality true. The other ideas don’t fit because simply adding terms on both sides doesn’t necessarily isolate the target, differentiating is a calculus operation, and multiplying by zero is not a valid way to solve for a variable.