Question

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

Answer 1

To identify the pairs of like terms in the expression \(2x - 6 + 5x + 3\), we'll first group the terms:

1. **Like terms involving \(x\)**:
- \(2x\) and \(5x\) are both like terms (both are \(x\) terms).

2. **Constant terms**:
- \(-6\) and \(3\) are like terms (both are constant terms).

Now, let's analyze the provided responses:

1. **3x and 3**: Not applicable, since we don't have \(3x\) in the expression.
2. **2x and 5x**: Correct, they are like terms.
3. **2x and -6**: Not like terms; one is an \(x\) term and the other is a constant.
4. **−6 and 3**: Correct, they are like terms.

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

So the correct responses are:
- **2x and 5x**
- **−6 and 3**