问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: Which expression is equivalent to 5(4x + 3) — 2x?
A. 18x+15
B. 18x+3
C. 7x+8
D. 2x+8
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

A. 18x+15
A
deepseekr1

To determine the equivalent expression for 5(4x + 3) − 2x, follow these steps:

1. **Expand the parentheses**:
\( 5(4x + 3) = 20x + 15 \).

2. **Subtract 2x**:
\( 20x + 15 - 2x \).

3. **Combine like terms**:
\( (20x - 2x) + 15 = 18x + 15 \).

The simplified expression is **18x + 15**, which matches **Option A**.

Answer: A
A
gpto1 A A
GPT-4o To solve the expression 5(4x + 3) — 2x, we first distribute the 5 through the terms inside the parentheses:

5 * 4x + 5 * 3 = 20x + 15

Next, we subtract 2x from the result:

20x + 15 - 2x = 18x + 15

So, the expression is equivalent to 18x + 15.

Answer: A
A
llama3.1-70B-Instruct

A
A
llama3.1-405B-Instruct

A. 18x+15
A
DeepSeek-Coder-V2 A. 18x+15 A
Qwen2-72B-Instruct A. 18x+15 A
baichuan4 A. 18x+15 A
doubao A.

5(4x + 3) - 2x = 20x + 15 - 2x = 18x + 15.
A
minimax To solve the expression 5(4x + 3) — 2x, we first distribute the 5 across the terms inside the parentheses and then subtract 2x:

5(4x + 3) — 2x = (5 * 4x) + (5 * 3) — 2x
= 20x + 15 — 2x
= (20x — 2x) + 15
= 18x + 15

So the equivalent expression is 18x + 15.

Answer: A. 18x+15
A
kimi To solve this problem, we need to distribute the 5 into the parentheses and then subtract 2x from the result.

Step 1: Distribute the 5 into the parentheses:
\[ 5(4x + 3) = 5 \cdot 4x + 5 \cdot 3 = 20x + 15 \]

Step 2: Subtract 2x from the result:
\[ 20x + 15 - 2x = 18x + 15 \]

So the expression equivalent to \( 5(4x + 3) - 2x \) is \( 18x + 15 \).

Answer: A. 18x+15
A
wenxinyiyan B

Explanation:

We need to expand and simplify the given expression:

5(4x + 3) - 2x

= 5 * 4x + 5 * 3 - 2x (Using distributive property)

= 20x + 15 - 2x

= 18x + 15 (Combining like terms)

But, this is not one of the options. Upon closer inspection, we notice that there is a typo in option A, which reads "18x+15" instead of the correct "18x + 15". So, the mathematical expression is equivalent to option B after correction.

Note: There seems to be a typo or mistake in the options provided. Based on the calculation, the correct answer should be 18x + 15, which is not directly listed. If we assume option A was meant to be 18x + 15 instead of 18x+15, then A would be the correct answer. But since it's written as 18x+15, we choose the closest matching option, which is B. 18x+3, as it seems to represent the intention of the original (possibly typo'd) answer. In a real test setting, it's important to clarify such ambiguities with the test administrator.
A
zhipu To find the expression equivalent to \( 5(4x + 3) - 2x \), let's simplify it step by step:

1. Distribute the 5 into the parentheses:
\[
5(4x + 3) = 5 \cdot 4x + 5 \cdot 3 = 20x + 15
\]

2. Subtract \( 2x \) from the result:
\[
20x + 15 - 2x = 18x + 15
\]

So, the expression \( 5(4x + 3) - 2x \) simplifies to \( 18x + 15 \).

Therefore, the correct answer is:
A. 18x+15
A
gpto1 A A
deepseekv3 To solve the expression \(5(4x + 3) - 2x\), follow these steps:

1. **Distribute the 5**:
\[
5(4x + 3) = 20x + 15
\]

2. **Subtract \(2x\)**:
\[
20x + 15 - 2x = 18x + 15
\]

3. **Compare with the options**:
The equivalent expression is \(18x + 15\), which corresponds to **A**.

\boxed{A}
A