Consider the following expression. 9b+5a+2+6a Select all of the true statements below. (A) 9b is a coefficient. (B) 9b is a term. (C) 9b is a factor. (D) 5a and 6a are like terms. (E) 2 is a constant. (F) None of these are true.

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Identify Components: Identify each component of the expression 9b+5a+2+6a. 9b is a term consisting of a coefficient (9) and a variable (b). 5a and 6a are terms consisting of coefficients (5 and 6, respectively) and a common variable (a). 2 is a term that is a constant because it does not contain a variable.Statement: 9b: Determine the truth of the statement: ＂9b is a coefficient.＂ A coefficient is a numerical factor that multiplies a variable in a term. Since 9b includes a variable, it is not a coefficient but a term. Therefore, this statement is false.Statement: 9b: Determine the truth of the statement: ＂9b is a term.＂ A term is a single mathematical expression that can be a number, a variable, or numbers and variables multiplied together. Since 9b fits this definition, this statement is true.Statement: 9b: Determine the truth of the statement: ＂9b is a factor.＂ A factor is a number or expression that multiplies with others to form a product. In the context of the given expression, 9b is not explicitly a factor of a product but a term in a sum. Therefore, this statement is false.Statement: 5a and 6a: Determine the truth of the statement: ＂5a and 6a are like terms.＂ Like terms are terms that have the same variables raised to the same powers. Since 5a and 6a both have the variable 'a' to the first power, they are like terms. Therefore, this statement is true.Statement: 2: Determine the truth of the statement: ＂2 is a constant.＂ A constant is a term without a variable, which is a fixed value. Since 2 does not have a variable, it is a constant. Therefore, this statement is true.

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