Question

Which expression is not equivalent to the other three? (1 point)
0 -2 + 5х + 22 - 4
• 8х -х - 6
04+72 - 2
02x + 2 + 2x + 3x - 8

Answers

Answered by GPT-4o mini
To determine which expression is not equivalent to the others, we will simplify each expression:

1. **First expression**: \(0 - 2 + 5x + 22 - 4\)
\[
= 5x + 22 - 2 - 4
= 5x + 16
\]

2. **Second expression**: \(8x - x - 6\)
\[
= 8x - 1x - 6
= 7x - 6
\]

3. **Third expression**: \(0x + 72 - 2\)
\[
= 72 - 2
= 70 \quad (\text{Since } 0x = 0 \text{ doesn't affect the sum.})
\]

4. **Fourth expression**: \(0x + 2 + 2x + 3x - 8\)
\[
= 2x + 3x + 2 - 8
= 5x - 6
\]

Now we have simplified all expressions:
- First expression: \(5x + 16\)
- Second expression: \(7x - 6\)
- Third expression: \(70\)
- Fourth expression: \(5x - 6\)

Now we can see that:
- The first expression \(5x + 16\) does not match the others.
- The second expression \(7x - 6\) does not match the others.
- The third expression \(70\) is a constant and does not match any variable expressions.
- The fourth expression \(5x - 6\) does not match either.

The one that stands out is the **third expression**, which simplifies to a constant 70, while the others are linear expressions with \(x\).

Therefore, the expression that is **not equivalent** to the other three is **\(70\)**.
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