Question

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

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

4+7x−2
4 plus 7 x minus 2

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

8x−x−6

Answer 1

To determine which expression is not equivalent to the others, we will simplify each expression step by step.

1. **Expression 1: −2 + 5x + 2x − 4**
- Combine like terms:
\[
= (5x + 2x) + (-2 - 4) = 7x - 6
\]

2. **Expression 2: 4 + 7x − 2**
- Combine like terms:
\[
= 4 - 2 + 7x = 2 + 7x
\]

3. **Expression 3: 2x + 2 + 2x + 3x − 8**
- Combine like terms:
\[
= (2x + 2x + 3x) + (2 - 8) = 7x - 6
\]

4. **Expression 4: 8x − x − 6**
- Combine like terms:
\[
= (8x - x) - 6 = 7x - 6
\]

Next, let’s summarize the results:
- Expression 1 simplifies to \(7x - 6\).
- Expression 2 simplifies to \(2 + 7x\) (which is equivalent to \(7x + 2\)).
- Expression 3 simplifies to \(7x - 6\).
- Expression 4 simplifies to \(7x - 6\).

The expression that is different is **Expression 2: 4 + 7x − 2**, which simplifies to \(2 + 7x\) (or \(7x + 2\)), while the other three expressions simplify to \(7x - 6\).

Thus, **the expression that is not equivalent to the other three is:**
**4 + 7x − 2**.