Question

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

Explanation:

Step1: Recall coefficient definition

A coefficient is a number multiplied by a variable. In the expression \(5b + n + 9\), the terms with variables are \(5b\) (where 5 is the coefficient of \(b\)) and \(n\) (which can be written as \(1n\), so 1 is the coefficient of \(n\)). The constant is 9.

Step2: Analyze Jake's error

Jake identified 5 as a coefficient (correct for \(b\)) but missed that \(n\) has a coefficient of 1. He should have included 1 as a coefficient too.

Step3: List all coefficients

The coefficients in \(5b + n + 9\) are 5 (for \(b\)) and 1 (for \(n\)). The constant is 9.

Answer:

5, 1