Which of the following is equivalent to 7m - 2m + 5?

• A. 5m + 5
• B. 9m + 2
• C. 5m + 2
• D. 7m + 5

Answer: (C)

To simplify the expression 7m - 2m + 5, you first need to combine the like terms, which in this case are the terms that involve the variable m.

1. Start with the terms that include m: 7m and -2m. When you combine these, you subtract 2 from 7, giving you 5m. This can be represented as:

(7m - 2m = 5m)

2. Next, you have the constant term, which is +5. Now, put together what you’ve simplified:

(5m + 5)

This shows that the expression simplifies to 5m + 5, which matches the correct option.

Thus, the equivalent expression of 7m - 2m + 5 is indeed 5m + 5, confirming that the correct answer reflects the accurate combination of the like terms present in the original expression.