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 x and −7 x and −7 −4 and 7 −4 and 7

1 answer

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

The terms in the expression are:

  • \(3x\)
  • \(-4\)
  • \(x\)
  • \(7\)

Now, let's identify the like terms:

  1. \(3x\) and \(x\): These are like terms because they both contain the variable \(x\).
  2. \(-4\) and \(7\): These are also like terms as they are both constant terms.

Therefore, the pairs of like terms are:

  • \(3x\) and \(x\)
  • \(-4\) and \(7\)

The correct responses are:

  • 3x and x
  • −4 and 7
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