1. The problem asks us to identify true statements about the algebraic expression $4a + 7b + 2$. 2. Let's analyze each option: - $4a$ and $2$ are like terms: Like terms have the same variable raised to the same power. Here, $4a$ has variable $a$, and $2$ is a constant (no variable), so they are not like terms. - $2$ is a constant: A constant is a term without any variable. Since $2$ has no variable, it is indeed a constant. - $4a$ is a coefficient: A coefficient is the numerical factor multiplying a variable. In $4a$, $4$ is the coefficient, not $4a$ itself. - $4a$ is a factor: A factor is a quantity multiplied by another. In $4a$, $4$ and $a$ are factors of the term, but $4a$ as a whole is a term, not a factor. - $4a + 7b + 2$ is written as a sum of three terms: The expression has three parts separated by plus signs, each is a term. So this is true. 3. Summary of true statements: - $2$ is a constant. - $4a + 7b + 2$ is written as a sum of three terms. 4. Therefore, the correct true statements are: - $2$ is a constant. - $4a + 7b + 2$ is written as a sum of three terms.