Match the operation with its inverse operation you would use to solve an equation for a vari

- To undo an addition, you subtract. For example, if you have \[ x + a = b, \] you subtract \( a \) from both sides to get \[ x = b - a. \] - To undo a subtraction, you add. For instance, if \[ x - a = b, \] you add \( a \) to both sides to obtain \[ x = b + a. \] - To undo a multiplication, you divide. For example, if \[ a \cdot x = b, \] you divide both sides by \( a \) to get \[ x = \frac{b}{a}. \] - To undo a division, you multiply. For instance, if \[ \frac{x}{a} = b, \] you multiply both sides by \( a \) so that \[ x = a \cdot b. \] - To undo an exponentiation, you take a root. For example, if \[ x^n = a, \] you take the \( n \)th root of both sides: \[ x = \sqrt[n]{a}. \] - Conversely, to undo a root extraction, you raise both sides to the corresponding power. For instance, if \[ \sqrt[n]{x} = a, \] raising both sides to the \( n \)th power yields \[ x = a^n. \]