Question

Solve using inverse operations. Use the sketch pad to show your work: -4+2b=-40..

Answer 1

To solve the equation \(-4 + 2b = -40\) using inverse operations, we will isolate the variable \(b\). Here are the steps:

1. **Add 4 to both sides** to eliminate the -4 from the left side:
\[
-4 + 2b + 4 = -40 + 4
\]
This simplifies to:
\[
2b = -36
\]

2. **Divide both sides by 2** to solve for \(b\):
\[
\frac{2b}{2} = \frac{-36}{2}
\]
This simplifies to:
\[
b = -18
\]

So, the solution is \(b = -18\).

For visual representation, you may want to use Sketchpad or another graphing tool to illustrate the steps, but here's a simple breakdown you could present:

- Start with the equation: **\(-4 + 2b = -40\)**
- Show adding 4 to both sides: **\(2b = -36\)**
- Show dividing both sides by 2: **\(b = -18\)**

If you're using software like Sketchpad, you can create a visual representation by plotting the steps, showing the manipulation of the equation at each stage.