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Which expression is not equivalent to the other three?(1 point)

Responses

8x−x−6
8 x minus x minus 6

2x+2+2x+3x−8
2 x plus 2 plus 2 x plus 3 x minus 8

4+7x−2
4 plus 7 x minus 2

−2+5x+2x−4

1 answer

To determine which expression is not equivalent to the others, let's simplify each expression:

  1. Expression 1: \( 8x - x - 6 \)

    • Simplifying: \[ 8x - x = 7x \Rightarrow 7x - 6 \]

  2. Expression 2: \( 2x + 2 + 2x + 3x - 8 \)

    • Simplifying: \[ 2x + 2x + 3x = 7x \Rightarrow 7x + 2 - 8 = 7x - 6 \]

  3. Expression 3: \( 4 + 7x - 2 \)

    • Simplifying: \[ 4 - 2 = 2 \Rightarrow 7x + 2 \]

  4. Expression 4: \( -2 + 5x + 2x - 4 \)

    • Simplifying: \[ -2 - 4 = -6 \quad \text{and} \quad 5x + 2x = 7x \Rightarrow 7x - 6 \]

Now, let's summarize the results:

  • Expression 1 simplifies to \( 7x - 6 \)
  • Expression 2 simplifies to \( 7x - 6 \)
  • Expression 3 simplifies to \( 7x + 2 \)
  • Expression 4 simplifies to \( 7x - 6 \)

The only expression that does not match the others is Expression 3: \( 4 + 7x - 2 \), which simplifies to \( 7x + 2 \).

Thus, the expression that is not equivalent to the other three is:

4 + 7x - 2.