Select all pairs of like terms in the expression 2x−6+5x+3

Question

.(2 points)
Responses

3x and 3
3x and 3

2x and −6
2x and −6

−6 and 3
−6 and 3

2x and 5x

Answer 1

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

Let's identify the terms in the expression:

1. \(2x\) (term with \(x\))
2. \(5x\) (term with \(x\))
3. \(-6\) (constant term)
4. \(3\) (constant term)

The pairs of like terms are:

• \(2x\) and \(5x\) (both are \(x\) terms)
• \(-6\) and \(3\) (both are constant terms)

Therefore, the correct pairs of like terms from your options are:

1. \(2x\) and \(5x\)
2. \(-6\) and \(3\)

Hence, the responses that are correct are:

• 2x and 5x
• −6 and 3

The pair \(3x\) and \(3\) and \(2x\) and -6 are not like terms.