Simplify the expression: 9b + 2 + 4b - 5.

• A. 13b + 7
• B. 13b - 3
• C. 9b - 3
• D. 4b + 2

Answer: (B)

To simplify the expression ( 9b + 2 + 4b - 5 ), you start by identifying and combining like terms. Like terms are terms that contain the same variable raised to the same power.

First, look at the terms that contain the variable ( b ):

• The terms ( 9b ) and ( 4b ) can be combined. When you add them together, you get:

[

9b + 4b = 13b

]

Next, combine the constant terms:

• The constants are ( 2 ) and ( -5 ). When you add these together, you calculate:

[

2 - 5 = -3

]

Now, putting the combined like terms together, you have:

[

13b - 3

]

This leads to the simplified expression ( 13b - 3 ), which aligns with the correct choice. Understanding how to combine like terms is crucial in algebra, as it helps streamline expressions and solve equations more effectively.