Question 4 (Multiple Choice Worth 5 points)

Identify a constant and coefficient in the expression [tex]9s + 5[/tex].

A. Constant: 5 and Coefficient: [tex]9s[/tex]
B. Constant: [tex]9s[/tex] and Coefficient: 5
C. Constant: 5 and Coefficient: 9
D. Constant: 9 and Coefficient: 5



Answer :

Certainly! Let's carefully identify the constant and the coefficient in the expression [tex]\( 9s + 5 \)[/tex].

Step-by-Step Solution:

1. Identify the constant:
- A constant term in an algebraic expression is a value that remains the same and does not change with the variable.
- Looking at the expression [tex]\( 9s + 5 \)[/tex], the term "5" is the constant because it is not attached to any variable and stands alone.

2. Identify the coefficient:
- A coefficient is a numerical value that is multiplied by the variable in an algebraic expression.
- In the expression [tex]\( 9s + 5 \)[/tex], the term "9" is the coefficient of the variable [tex]\( s \)[/tex] because it multiplies [tex]\( s \)[/tex].

Given these points:

- The constant term is 5.
- The coefficient of [tex]\( s \)[/tex] is 9.

Therefore, the correct answer is:

constant: 5 and coefficient: 9.

Answer:

C. Constant: 5 and Coefficient: 9

Step-by-step explanation:

The coefficient refers to the multiplier of the variable in a linear expression and the constant refers the value that isn't multiplied by any variable.

Since the 5 isn't multiplied by any variable (it's just +5), 5 is the constant.

Since the part of the expression multiplied by a variable is 9s, the coefficient is 9 because 9 is multiplied by s to make up the term 9s.

So the constant is 5 and the coefficient is 9.