Question

Write an algebraic expression for the statement '6 less than the quotient of x and 3 equals 2'.

• A. $6-\frac{x}{3}=2$
• B. $\frac{x}{3}-6=2$
• C. $3x-6=2$
• D. $\frac{3}{x}-6=2$

Answer 1

The correct option is B

$\frac{x}{3}-6=2$

The statement says the quotient is obtained when the variable x is divided by 3. This quotient is then subtracted by 6.
Hence the required algebraic expression is $\frac{x}{3}-6=2$