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

1 answer

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.