Question

9 more than the quotient of a number and 6 is 3

Answer 1

The expression "a number" can be represented with any letter. Use, for instance, the letter n.

Then, the expression "The quotient of a number and 6" can be represented as:

$\frac{n}{6}$

9 more than the quotient of a number and 6 can be expressed as:

$9+\frac{n}{6}$

If that expression is equal to 3, then:

$9+\frac{n}{6}=3$

Which is an algebraic expression for "9 more than the quotient of a number and 6 is 3".