Question

Which expression is not equivalent to 3x−2 ?(1 point) Responses 2x+2+x 2 x plus 2 plus x 4x−4−x+2 4 x minus 4 minus x plus 2 x+x−1−1+x x plus x minus 1 minus 1 plus x 3−x+2x−5+2x

Answer 1

To determine which expression is not equivalent to \(3x - 2\), let's simplify each of the provided expressions one by one.

1. **Expression:** \(2x + 2 + x\)
**Simplification:**
\(2x + x + 2 = 3x + 2\)
**Equivalent to:** \(3x + 2\)

2. **Expression:** \(4x - 4 - x + 2\)
**Simplification:**
\(4x - x - 4 + 2 = 3x - 2\)
**Equivalent to:** \(3x - 2\)

3. **Expression:** \(x + x - 1 - 1 + x\)
**Simplification:**
\(x + x + x - 1 - 1 = 3x - 2\)
**Equivalent to:** \(3x - 2\)

4. **Expression:** \(3 - x + 2x - 5 + 2x\)
**Simplification:**
\(3 - 5 + 2 - x + 2x = 0 + 3x - x = 3x - 2\)
**Equivalent to:** \(3x - 2\)

Now, we analyze the equivalent results:

- Expression 1 is \(3x + 2\) (not equivalent)
- Expression 2 is \(3x - 2\) (equivalent)
- Expression 3 is \(3x - 2\) (equivalent)
- Expression 4 is \(3x - 2\) (equivalent)

The expression that is **not equivalent** to \(3x - 2\) is:

**Response:** \(2x + 2 + x\) (which simplifies to \(3x + 2\))