Question

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

Answer 1

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 \( 7x + 2 \)**.