Question

Simplify the following expression by combining like terms. Select the most simplified expression: 2w+5w-6+4w
​

A
5w5w5w
B
11w−611w-611w−6
C
7w−27w-27w−2
D
7w−6+4w7w-6+4w7w−6+4w

Answer 1

To simplify the expression \(2w + 5w - 6 + 4w\), we will combine the like terms involving \(w\).

1. Combine the \(w\) terms:
- \(2w + 5w + 4w = (2 + 5 + 4)w = 11w\)

2. The constant term is \(-6\).

Putting it all together, we have:
\[
11w - 6
\]

Now, looking at the options you've provided:
- **A:** \(5w\) - not correct.
- **B:** \(11w - 6\) - correct.
- **C:** \(7w - 2\) - not correct.
- **D:** \(7w - 6 + 4w\) - not correct.

The most simplified expression is:
**B: \(11w - 6\)**.