WAEC Mathematics 2014 Question 37

Question 37

Algebraic Expressions

Subtract ½(a − b − c) from the sum of ½(a − b + c) and ½(a + b − c).

  1. A.½(a + b + c)
  2. B.½(a − b − c)
  3. C.½(a − b + c)
  4. D.½(a + b − c)
Show the answer and explanation

Answer: A (½(a + b + c))

Explanation

The sum is ½(2a) = a. Then a − ½(a − b − c) = ½(a + b + c).