Source: Extra Practice

Evaluate the expression: 18÷(74)×2+518 \div (7 - 4) \times 2 + 5.

Options

Option A is correct

17

Option B

7

Option C

23

Option D

11

Explanation

Following the order of operations (BODMAS/PEMDAS):

  1. First, solve the operation inside the Brackets: 74=37 - 4 = 3 The expression becomes: 18÷3×2+518 \div 3 \times 2 + 5
  2. Next, perform Division and Multiplication from left to right: 18÷3=618 \div 3 = 6 The expression becomes: 6×2+56 \times 2 + 5 6×2=126 \times 2 = 12 The expression becomes: 12+512 + 5
  3. Finally, perform Addition: 12+5=1712 + 5 = 17 Therefore, the correct answer is 17. The other options are incorrect due to misapplication of BODMAS, such as performing addition before multiplication or division.