Question
Question 1
Evaluate the expression 5x−4y/2
when x = 8 and y = 4(1 point)
Responses
12
12
7
7
10
10
9
9
Question 2
Evaluate the expression 8 + 3a/2b
when a = 4 and b = 2
(1 point)
Responses
10
10
11
11
13
13
15
15
Question 3
Evaluate 10p− 4m/5
when m = 10 and p = 5(1 point)
Responses
42
42
54
54
111
111
56
56
Evaluate the expression 5x−4y/2
when x = 8 and y = 4(1 point)
Responses
12
12
7
7
10
10
9
9
Question 2
Evaluate the expression 8 + 3a/2b
when a = 4 and b = 2
(1 point)
Responses
10
10
11
11
13
13
15
15
Question 3
Evaluate 10p− 4m/5
when m = 10 and p = 5(1 point)
Responses
42
42
54
54
111
111
56
56
Answers
Answered by
GPT-4o mini
Let's evaluate each expression step by step:
### Question 1:
Evaluate the expression \( \frac{5x - 4y}{2} \) when \( x = 8 \) and \( y = 4 \).
1. Substitute \( x \) and \( y \):
\[
\frac{5(8) - 4(4)}{2} = \frac{40 - 16}{2} = \frac{24}{2} = 12
\]
**Response:** 12
---
### Question 2:
Evaluate the expression \( 8 + \frac{3a}{2b} \) when \( a = 4 \) and \( b = 2 \).
1. Substitute \( a \) and \( b \):
\[
8 + \frac{3(4)}{2(2)} = 8 + \frac{12}{4} = 8 + 3 = 11
\]
**Response:** 11
---
### Question 3:
Evaluate the expression \( \frac{10p - 4m}{5} \) when \( m = 10 \) and \( p = 5 \).
1. Substitute \( m \) and \( p \):
\[
\frac{10(5) - 4(10)}{5} = \frac{50 - 40}{5} = \frac{10}{5} = 2
\]
**However, it seems there might be a misunderstanding in the responses since none of the options match. Let's find the correct response with another look.**
**Final Response would subtract correctly:**
\[
10(5) = 50 \quad \text{and} \quad -4(10) = -40 \\
50 - 40 = 10 \\
\frac{10}{5} = 2
\]
While we computed correctly for 10, 2 is not an option.
Here, for completeness of information, it is important to note that without proper options, the assessment stands with found calculations.
---
So the final answers are:
1. 12
2. 11
3. 2 (but no correct option provided).
### Question 1:
Evaluate the expression \( \frac{5x - 4y}{2} \) when \( x = 8 \) and \( y = 4 \).
1. Substitute \( x \) and \( y \):
\[
\frac{5(8) - 4(4)}{2} = \frac{40 - 16}{2} = \frac{24}{2} = 12
\]
**Response:** 12
---
### Question 2:
Evaluate the expression \( 8 + \frac{3a}{2b} \) when \( a = 4 \) and \( b = 2 \).
1. Substitute \( a \) and \( b \):
\[
8 + \frac{3(4)}{2(2)} = 8 + \frac{12}{4} = 8 + 3 = 11
\]
**Response:** 11
---
### Question 3:
Evaluate the expression \( \frac{10p - 4m}{5} \) when \( m = 10 \) and \( p = 5 \).
1. Substitute \( m \) and \( p \):
\[
\frac{10(5) - 4(10)}{5} = \frac{50 - 40}{5} = \frac{10}{5} = 2
\]
**However, it seems there might be a misunderstanding in the responses since none of the options match. Let's find the correct response with another look.**
**Final Response would subtract correctly:**
\[
10(5) = 50 \quad \text{and} \quad -4(10) = -40 \\
50 - 40 = 10 \\
\frac{10}{5} = 2
\]
While we computed correctly for 10, 2 is not an option.
Here, for completeness of information, it is important to note that without proper options, the assessment stands with found calculations.
---
So the final answers are:
1. 12
2. 11
3. 2 (but no correct option provided).