JSCE Mathematics 2024 Objective — Question 52

Question 52 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

Simplify 1/2 x(y + z) - 2y(z + x) + 3/4 z(x + y)

A. 3/2 xy + 5/4 xz - 5/4 yz
B. -1.5xy + 1.25xz - 1.25yzCorrect
C. 0.5xy + 1.35xz - 1.205yz
D. 1 1/2 xy + 1 1/5 xz - 1 1/3 yz

Explanation

Expand: 0.5xy + 0.5xz - 2yz - 2xy + 0.75xz + 0.75yz. Collect: -1.5xy + 1.25xz - 1.25yz.

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