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 −6
2x and −6

2x and 5x
2x and 5x

−6 and 3

Answer 1

In the expression \( 2x - 6 + 5x + 3 \), the like terms are those that have the same variable part.

Let's identify the terms:
- \( 2x \) and \( 5x \) are like terms because they both contain the variable \( x \).
- \( -6 \) and \( 3 \) are like terms because they are both constant terms.

The pairs of like terms in the expression are:
1. \( 2x \) and \( 5x \)
2. \( -6 \) and \( 3 \)

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

The response **3x and 3** and **2x and −6** are not pairs of like terms.