Question

Select all pairs of like terms in the expression 2x−6+5x+3 .(2 points)Responses3x and 33x and 32x and 5x2x and 5x−6 and 3−6 and 32x and −6

Answer 1

In the expression \( 2x - 6 + 5x + 3 \), we can identify the terms and pair the like terms:

1. **Variable Terms**:
- \(2x\)
- \(5x\)

2. **Constant Terms**:
- \(-6\)
- \(3\)

Now, pairing them:

- Like terms for the variable parts:
- \(2x\) and \(5x\)

- Like terms for the constant parts:
- \(-6\) and \(3\)

Now let's evaluate the pairs mentioned in the responses:

- **3x and 3**: Not a match.
- **3x and 2**: Not a match.
- **2x and 5x**: Match (both are variable terms).
- **2x and 5x**: Match (both are variable terms).
- **-6 and 3**: Match (both are constant terms).
- **-6 and 3**: Match (both are constant terms).
- **2x and -6**: Not a match.
- **2x and -6**: Not a match.

The pairs of like terms are:
- \(2x\) and \(5x\)
- \(-6\) and \(3\)

So, the pairs of like terms are \(2x\) and \(5x\) as well as \(-6\) and \(3\).