Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The quotient of 4 and the difference of 7 and a number.
The quotient of 4 and the difference of 7 and a number.
4 / (7 - x)
To represent the given sentence as an algebraic expression, we can break it down into smaller parts.
Let's start with "the difference of 7 and a number." We can represent this as 7 - x.
Now, the sentence also includes "the quotient of 4 and the difference of 7 and a number." The word "quotient" indicates division. So, we divide 4 by the difference of 7 and a number (7 - x).
Therefore, the algebraic expression representing the sentence is:
4 / (7 - x)
To represent the given sentence as an algebraic expression, you need to break it down into mathematical operations and replace certain words with appropriate symbols.
1. Identify the numbers:
- The number you need to find is represented by the letter "x."
2. Translate the words into mathematical symbols:
- "The quotient of 4 and" can be represented by "4 /".
- "The difference of 7 and a number" can be represented by "7 - x".
3. Combine the translated symbols:
- Putting the translated symbols together, the expression becomes:
(4 / (7 - x))
Therefore, the algebraic expression representing the sentence "The quotient of 4 and the difference of 7 and a number" is (4 / (7 - x)).