Question

Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the ______ of the term.

Answer 1

Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the sign of the term.

Explanation:

Transposition in algebra means moving a term from one side of the equation to the other. When you do this, you change the sign of the term:

• A positive term becomes negative

• A negative term becomes positive

This helps in simplifying or solving the equation.

Example:

Given:

x + 5 = 12

Transpose +5 to the other side by changing its sign:

x = 12 − 5 ⇒ x = 7