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Question 1

Evaluate the expression 8 + 3a/2b
when a = 4 and b = 2



(1 point)
Responses

11
11

10
10

13
13

15
15
Question 2
Evaluate the expression 5x−4y/2
when x = 8 and y = 4(1 point)
Responses

12
12

9
9

7
7

10
10
Question 3
Evaluate 10p− 4m/5
when m = 10 and p = 5(1 point)
Responses

54
54

56
56

111
111

42

1 answer

Let's evaluate each expression step by step.

Question 1: 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 2: 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 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 the responses provided do not include 2. Re-evaluating, I see there seems to be a misunderstanding or typo. The answers listed (54, 56, 111, 42) do not correspond to the evaluated answer. Therefore, I'll confirm:

    \(10p - 4m\) evaluates strictly to \(10(5) - 4(10) = 50 - 40 = 10\).

    \(\frac{10}{5} = 2\).

Since the initially calculated answer does not match any options provided, please double-check the values or re-confirm the expressions.

Final Summary of responses:

  1. 11
  2. 12
  3. 2 (not available in responses)