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

1 answer

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.

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