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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

−2+5x+2x−4
negative 2 plus 5 x plus 2 x minus 4

4+7x−2

1 answer

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

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

    • Simplifying: \( 8x - x = 7x \) So, \( 7x - 6 \).

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

    • Simplifying: Combine like terms: \( 2x + 2x + 3x = 7x \) So, \( 7x + 2 - 8 = 7x - 6 \).

  3. Expression 3: \( -2 + 5x + 2x - 4 \)

    • Simplifying: Combine like terms: \( 5x + 2x = 7x \) So, \( 7x - 2 - 4 = 7x - 6 \).

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

    • Simplifying: Combine like terms: \( 4 - 2 = 2 \) So, \( 7x + 2 \).

Now we can compare the simplified forms:

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

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