Question

Which expression is not equivalent to the other three? (1 point)
• 8x - x - 6
4 + 7х - 2
• 2x + 2 + 2x + 3x — 8
-2 + 5x + 2x - 4

Answer 1

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

1. **Expression 1: \( 8x - x - 6 \)**
\[
8x - x - 6 = 7x - 6
\]

2. **Expression 2: \( 4 + 7x - 2 \)**
\[
4 + 7x - 2 = 7x + 2
\]

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

4. **Expression 4: \( -2 + 5x + 2x - 4 \)**
\[
-2 + 5x + 2x - 4 = (5x + 2x) + (-2 - 4) = 7x - 6
\]

Now let's summarize the simplified forms:

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

From the simplified forms, we see that:

- Expressions 1, 3, and 4 all simplify to \( 7x - 6 \).
- Expression 2 simplifies to \( 7x + 2 \).

Thus, the expression that is not equivalent to the other three is:
**Expression 2: \( 4 + 7x - 2 \)**.