To solve the problem, we need to translate the given phrase into an algebraic expression. The phrase we need to translate is:
"the difference of the number of roses and 18 lilies"
Here's a step-by-step process:
1. Identify the variables and constants:
- Let [tex]\( r \)[/tex] represent the number of roses.
- The phrase mentions 18 lilies directly, so the number 18 is a constant in this context.
2. Understand the operation:
- The word "difference" in mathematics indicates a subtraction operation.
3. Formulate the expression:
- We need to find the difference between the number of roses (which is [tex]\( r \)[/tex]) and 18 lilies.
4. Write the expression:
- To find the difference, we subtract 18 from [tex]\( r \)[/tex]. Therefore, the expression becomes [tex]\( r - 18 \)[/tex].
Now, look at the given choices to see which one matches our formulated expression:
A. [tex]\( r - 18 \)[/tex]
B. [tex]\( r \div 18 \)[/tex]
C. [tex]\( r \cdot 18 \)[/tex]
D. [tex]\( r + 18 \)[/tex]
The correct expression that represents the difference of the number of roses and 18 lilies is [tex]\( r - 18 \)[/tex], which corresponds to option A.
Therefore, the correct answer is:
A. [tex]\( r - 18 \)[/tex]
