Question

Select all pairs of like terms in the expression 3x−4+x+7
.(2 points)
Responses

3x and x
3x and x

3x and −4
3x and −4

−4 and 7
−4 and 7

x and −7
x and −7

Answer 1

In the expression \(3x - 4 + x + 7\), the like terms are those that have the same variable raised to the same power.

Identifying the terms:
- The terms with \(x\): \(3x\) and \(x\)
- The constant terms: \(-4\) and \(7\)

Thus, the pairs of like terms are:
- \(3x\) and \(x\) (like terms)
- \(-4\) and \(7\) (both constant terms, but not like terms since they don't share a variable)

So, the only correct pair of like terms in the expression is:
- **3x and x**

The other options do not contain pairs of like terms.