| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. 4(2x — 6) and 8x — 24 |
C |
| deepseekr1 | The correct answer is C. **Explanation:** - **Option C**: Expanding 4(2x – 6) gives \(4 \times 2x = 8x\) and \(4 \times (-6) = -24\), resulting in \(8x - 24\), which matches the second expression in the pair. - Other options are incorrect: - **A**: \(7(2x) = 14x \neq 9x\). - **B**: \(3x + 5x = 8x \neq 15x\). - **D**: \(x+x+x+x = 4x \neq x^4\). **Answer:** C |
C |
| gpto1 | C | C |
| GPT-4o | C. 4(2x — 6) and 8x — 24 | C |
| llama3.1-70B-Instruct | C |
C |
| llama3.1-405B-Instruct | C. 4(2x — 6) and 8x — 24 Explanation: To determine which pair of expressions are equivalent, we need to simplify each expression and compare the results. A. 7(2x) = 14x, which is not equal to 9x. B. 3x + 5x = 8x, which is not equal to 15x. C. 4(2x — 6) = 8x — 24, which is equal to 8x — 24. D. x+x+x+x = 4x, which is not equal to x^4. Therefore, the correct answer is C. 4(2x — 6) and 8x — 24. |
C |
| DeepSeek-Coder-V2 | C | C |
| Qwen2-72B-Instruct | C | C |
| baichuan4 | C | C |
| doubao | C 7(2x)=14x≠9x; 3x+5x=8x≠15x; 4(2x-6)=8x-24; x+x+x+x=4x≠x^4. |
C |
| minimax | C. 4(2x — 6) and 8x — 24 | C |
| kimi | C. 4(2x — 6) and 8x — 24 | C |
| wenxinyiyan | C | C |
| zhipu | C. 4(2x — 6) and 8x — 24 Explanation: - Option A: \( 7(2x) = 14x \), which is not equivalent to \( 9x \). - Option B: \( 3x + 5x = 8x \), which is not equivalent to \( 15x \). - Option C: \( 4(2x - 6) = 4 \cdot 2x - 4 \cdot 6 = 8x - 24 \), which is equivalent to \( 8x - 24 \). - Option D: \( x + x + x + x = 4x \), which is not equivalent to \( x^4 \). Therefore, the correct answer is C. |
C |
| gpto1 | C | C |
| deepseekv3 | To determine which pair of expressions are equivalent, let's evaluate each option step by step: **A. \(7(2x)\) and \(9x\)** - \(7(2x) = 14x\) - \(14x \neq 9x\) - **Not equivalent.** --- **B. \(3x + 5x\) and \(15x\)** - \(3x + 5x = 8x\) - \(8x \neq 15x\) - **Not equivalent.** --- **C. \(4(2x - 6)\) and \(8x - 24\)** - \(4(2x - 6) = 8x - 24\) - \(8x - 24 = 8x - 24\) - **Equivalent.** --- **D. \(x + x + x + x\) and \(x^4\)** - \(x + x + x + x = 4x\) - \(4x \neq x^4\) - **Not equivalent.** --- **Answer:** **C** |
C |