Represent the following phrase as an algebraic expression, where "a number" is the letter \( x \). You do not need to simplify. 4 is multiplied by the difference of 5 and a number.

To express the given phrase algebraically, we first identify "the difference of 5 and a number," which can be represented as \( 5 - x \). When we multiply this difference by 4, we get the full expression: \( 4(5 - x) \). To make it engaging, think of it like cooking: you have 5 apples, but you take away some (that's your number \( x \)). Now, when you multiply how many apples you have left by 4, you’re getting a whole new batch of apples! It's all about managing those delicious differences. Now, as for how to avoid common pitfalls, one mistake is forgetting to apply the multiplication to the whole difference. Be sure to distribute properly if you’re asked to simplify later on. So keep that cooking mindset and remember to whisk everything in the bowl!