Question

error analysis on a math test a student, jake, has to identify all the coefficients and constants of the expression. what error might jake have made? jake says that 5 is a coefficient and 9 is a constant. identify all the coefficients (use a comma to separate answers as needed.) the coefficient(s) of the expression is/are 5,1. the constant(s) of the expression is/are \boxed{}. (use a comma to separate answers as needed.)

Explanation:

Step1: Recall coefficient definition

A coefficient is a numerical factor of a term with a variable. In the expression \(5b + n + 9\), the terms with variables are \(5b\) and \(n\) (where \(n = 1\times n\)).

Step2: Identify coefficients

For \(5b\), the coefficient is \(5\); for \(n\), the coefficient is \(1\) (since \(n = 1n\)). Jake missed that \(n\) has a coefficient of \(1\) and only identified \(5\) as a coefficient. The constant is \(9\) (which Jake correctly identified as a constant, but the error is in coefficients).

Step3: List correct coefficients

The coefficients of the expression \(5b + n + 9\) are \(5\) (for \(b\)) and \(1\) (for \(n\)). Jake only mentioned \(5\), so he missed the coefficient \(1\) for the term \(n\). The constant is \(9\) (which is correct as per Jake's statement, but the error is in coefficients).

Answer:

The coefficient(s) of the expression \(5b + n + 9\) is/are \(5, 1\).
The constant(s) of the expression \(5b + n + 9\) is/are \(9\).
Jake's error: He missed that the term \(n\) has a coefficient of \(1\) (he only identified \(5\) as a coefficient).