Question

If the operation \(\ast\) is defined as \(a \ast b = 2a + b\), then \((2 \ast 3) \ast 4\) is:

• A. \(30\)
• B. \(20\)
• C. \(18\)
• D. \(15\)

Hint:

For operations like this, always follow the order of operations and simplify step by step. Here, the operation is defined as \( a \ast b = 2a + b \).

Answer 1

The Correct Option is B

We are given the operation \(a \ast b = 2a + b\). First, calculate \(2 \ast 3\): \[ 2 \ast 3 = 2(2) + 3 = 4 + 3 = 7 \] Now, calculate \((2 \ast 3) \ast 4\), which is \(7 \ast 4\): \[ 7 \ast 4 = 2(7) + 4 = 14 + 4 = 18 \] Thus, \((2 \ast 3) \ast 4 = 18\).