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JAMB Mathematics 2013 Paper

Question : 17

Total: 47

If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)

Solution:

Concept:

Evaluate the bracket first, then apply the binary operation to the result.

Explanation:

The rule is

x * y = x + 2y

First compute the bracket:

3 * 4 = 3 + 2(4) = 3 + 8 = 11

Now substitute:

2 * (3 * 4) = 2 * 11

Apply the rule again:

2 * 11 = 2 + 2(11) = 2 + 22 = 24

Therefore, the expression simplifies to

24

Answer:

A. 24

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