Final answer:
The word sentence that represents the equation 6(x + 3) = 42 is option A: The sum of 3 and six times some number is 42.
Step-by-step explanation:
The word sentence that represents the equation 6(x + 3) = 42 is option A. The sum of 3 and six times some number is 42.
To understand why, let's break down the equation step-by-step:
- We have the expression (x + 3) in parentheses, which means that whatever number the student chooses to replace x with should be added to 3.
- Next, we multiply the entire expression (x + 3) by 6.
- The result of that multiplication should equal 42.
So, option A correctly expresses the equation by stating that the sum of 3 and six times some number is 42.