Question

which expression is equivalent to the expression below?
7m + 9n + m + m
answer
○ 9m + 9n ○ 18m
○ 5m + 9n ○ 14m

Explanation:

Step1: Identify like terms

The expression is \(7m + 9n + m + m\). The like terms for \(m\) are \(7m\), \(m\), and \(m\). The term with \(n\) is \(9n\) (no other like terms for \(n\)).

Step2: Combine like terms for \(m\)

To combine \(7m + m + m\), we add the coefficients: \(7 + 1 + 1 = 9\). So the combined term for \(m\) is \(9m\). The term \(9n\) remains as it is.

Step3: Write the equivalent expression

Putting it together, the equivalent expression is \(9m + 9n\).

Answer:

A. \(9m + 9n\)