Represent the following phrase as an algebraic expression, where “a number” is the letter . You
do not need to simplify.
The quotient of 1 and the square of a number.

The mathematical expression for the phrase “the quotient of 1 and the square of a number” can be represented as . This means you take 1 and divide it by the square of , which is the variable representing “a number”.

Now, let’s add a touch of fun: imagine you have a magic number (your ‘x’) that gets a little squarier every time you multiply it by itself. When you split 1 by its square, you’re basically taking a tiny piece of that magic and seeing how many times you can fit it into that larger square! Voilà, algebraic magic at play!