Question

Evaluate the expression 5x−23/2
when x = 6(1 point)
Responses

10
10

11
11

12
12

13
13
Question 2
Evaluate the expression 9x −52 + 7
when x=5(1 point)
Responses

21
21

25
25

23
23

27
27
Question 3
Evaluate the expression 4(n+6)- 3n when n = 8(1 point)
Responses

32
32

30
30

22
22

20
20
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Answer 1

Let's evaluate each expression step-by-step.

**Question 1: Evaluate the expression \( 5x - \frac{23}{2} \) when \( x = 6 \)**

1. Substitute \( x \) in the expression:
\[
5(6) - \frac{23}{2}
\]

2. Calculate \( 5 \times 6 \):
\[
30 - \frac{23}{2}
\]

3. Convert \( 30 \) to a fraction with a denominator of 2:
\[
30 = \frac{60}{2}
\]

4. Now subtract:
\[
\frac{60}{2} - \frac{23}{2} = \frac{60 - 23}{2} = \frac{37}{2} = 18.5
\]

You might need to select from the closest integer value or answer from a list. However, the final numerical answer is \( 18.5 \).

**Question 2: Evaluate the expression \( 9x - 52 + 7 \) when \( x = 5 \)**

1. Substitute \( x \) in the expression:
\[
9(5) - 52 + 7
\]

2. Calculate \( 9 \times 5 \):
\[
45 - 52 + 7
\]

3. Combine the values:
\[
45 - 52 = -7
\]
\[
-7 + 7 = 0
\]

The final answer is \( 0 \).

**Question 3: Evaluate the expression \( 4(n + 6) - 3n \) when \( n = 8 \)**

1. Substitute \( n \) in the expression:
\[
4(8 + 6) - 3(8)
\]

2. Calculate \( 8 + 6 \):
\[
4(14) - 3(8)
\]

3. Calculate \( 4 \times 14 \) and \( 3 \times 8 \):
\[
56 - 24
\]

4. Subtract:
\[
56 - 24 = 32
\]

The final answer is \( 32 \).

### Final Answers:

1. Question 1: \( 18.5 \) (may need to be rounded)
2. Question 2: \( 0 \)
3. Question 3: \( 32 \)