2026 PHS P2 Q1

2026 PHS P2 Q1

Secondary 4
10 marks
  1. Solve \(\dfrac2{3-5x}=\dfrac5x\).[2]
  2. Factorise completely \(8a^3b-18ab^3\).[2]
  3. Solve these simultaneous equations.
    \(\begin{aligned} 3x-2y&=13 \\ 5x-3y&=21 \end{aligned}\)
    You must show your working.[3]
  4. Write \(\dfrac{13+7x}{(x-2)(2x+5)}+\dfrac3{2-x}\) as a single fraction in its simplest form.[3]

Solution:

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Answer:(a) \(x=\dfrac59\) (b) \(2ab(2a-3b)(2a+3b)\) (c) \(x=3,\ y=-2\) (d) \(\dfrac1{2x+5}\)

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