Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The difference of 7 and the product of 2 and a number.

To express "the difference of 7 and the product of 2 and a number," we start with the product of 2 and the number, which is 2x. The phrase "the difference of 7 and" means we will subtract this product from 7. Thus, the algebraic expression is 7 - 2x. Now, imagine if you were to visualize this phrase. You could picture 7 as a solid block of cheese, and the product 2x as a mystery quantity of cheese being taken away. The remaining cheese after the subtraction is your expression, which is nicely balanced and represents the original phrase! To better understand the context, think of it like budgeting your allowance; if you have $7 and spend a certain amount based on double your weekly allowance (2x), you'll know exactly how much you have left by using the expression 7 - 2x. It's a useful way of managing your money in real-life situations!