Question

Error Analysis On a math test a student, Sarah, has to identify all the coefficients and constants ofthe expression y + 9b + 3. Sarah says that 9 is a coefficient and 3 is a constant. Identify all the

coefficients and constants of the expression. What error might Sarah have made?​

Answer 1

Sarah correctly identified the number 9 as the coefficient of the term 9b and the number 3 as the constant in the expression y + 9b + 3. However, she missed that the coefficient of y is 1, which is implied.

Step-by-step explanation:

The student, Sarah, made an error in identifying the coefficients and constants of the expression y + 9b + 3.

The correct answer is that 9 is the coefficient of b, and 3 is the constant term.

A coefficient is a number used to multiply a variable, and a constant is a term without a variable. In linear equations, they often take the form y = mx + b, where m is the coefficient and b is the constant.

Sarah did not mention the coefficient of the y term, which is implicitly 1 since any variable without a number in front of it has a coefficient of 1.

Sarah correctly identified 9 as the coefficient associated with the b term and 3 as the constant, but did not mention the coefficient of the y term.