Question

question 1
which of the following expressions has a simplified value of 3b + 7?
-6 - 2b + 13 + 5b
-6b + 9b + 4 - 3
-b + 4 + 5b - b - 3
-5 + 3b + 12 + b

Explanation:

Step1: Simplify first option

Combine like terms:

$$\begin{align*} -6 - 2b + 13 + 5b &= (-2b + 5b) + (-6 + 13)\\ &= 3b + 7 \end{align*}$$

Step2: Verify other options (optional)

Option 2:

$$\begin{align*} -6b + 9b + 4 - 3 &= 3b + 1 \end{align*}$$

Option 3:

$$\begin{align*} -b + 4 + 5b - b - 3 &= 3b + 1 \end{align*}$$

Option 4:

$$\begin{align*} -5 + 3b + 12 + b &= 4b + 7 \end{align*}$$

Answer:

A. -6 - 2b + 13 + 5b