Simplify the expression: 7m + 3n - 2m + 4n.

Simplify the expression: 7m + 3n - 2m + 4n.

• A. 5m + 4n
• B. 5m + 7n
• C. 10m + 7n
• D. 7m + n

Answer: (B)

To simplify the expression \(7m + 3n - 2m + 4n\), it’s essential to combine like terms. Like terms are those that contain the same variable raised to the same power. First, identify the like terms involving the variable \(m\): - The terms \(7m\) and \(-2m\) can be combined. Adding these together gives: \[ 7m - 2m = 5m. \] Next, identify the like terms involving the variable \(n\): - The terms \(3n\) and \(4n\) can similarly be combined. Adding these together gives: \[ 3n + 4n = 7n. \] Now, put the simplified terms together: \[ 5m + 7n. \] This gives us the final simplified expression. The answer \(5m + 7n\) is the correct choice because it accurately reflects the results of combining the like terms in the original expression.

To simplify the expression (7m + 3n - 2m + 4n), it’s essential to combine like terms. Like terms are those that contain the same variable raised to the same power.

First, identify the like terms involving the variable (m):

• The terms (7m) and (-2m) can be combined. Adding these together gives:

[

7m - 2m = 5m.

]

Next, identify the like terms involving the variable (n):

• The terms (3n) and (4n) can similarly be combined. Adding these together gives:

[

3n + 4n = 7n.

]

Now, put the simplified terms together:

[

5m + 7n.

]

This gives us the final simplified expression. The answer (5m + 7n) is the correct choice because it accurately reflects the results of combining the like terms in the original expression.