Question

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

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

Answer 1

To identify like terms in the expression \(3x - 4 + x + 7\), we can first group the terms:

- The terms with \(x\) are \(3x\) and \(x\).
- The constant terms are \(-4\) and \(7\).

Now we can analyze the options given:

A. \(3x\) and \(x\) - **These are like terms** (both are terms with \(x\)).
B. \(-4\) and \(7\) - **These are like terms** (both are constant terms).
C. \(3x\) and \(-4\) - **These are not like terms** (one is a term with \(x\), the other is a constant).
D. \(x\) and \(-7\) - **These are not like terms** (one is a term with \(x\), the other is a constant and also there is no \(-7\) in the original expression).

The correct answers are:
- **A. \(3x\) and \(x\)**
- **B. \(-4\) and \(7\)**

Thus, the pairs of like terms in the expression are **A and B**.