Question

Select all pairs of like terms in the expression 3x - 4 + x + 7.

A. x and -7
B. 3x and x
C. -4 and 7
D. 3x and -4

Answer 1

In the expression \(3x - 4 + x + 7\), we can identify like terms based on their variables.

The terms are:
- \(3x\)
- \(-4\)
- \(x\)
- \(7\)

Now, let's examine the options:

A. \(x\) and \(-7\): Not like terms (one is a variable term, the other is a constant).
B. \(3x\) and \(x\): Like terms (both are variable terms involving \(x\)).
C. \(-4\) and \(7\): Like terms (both are constant terms).
D. \(3x\) and \(-4\): Not like terms (one is a variable term, the other is a constant).

The pairs of like terms are:
- **B. \(3x\) and \(x\)**
- **C. \(-4\) and \(7\)**

So the correct answers are **B and C**.