2025 SST PRELIMS P2 Q2

2025 SST PRELIMS P2 Q2

Secondary 4
12 marks
  1. Solve \(7(x-2)-3(2x-1)=8(3x+5)-6\). Give the exact answer as a mixed number.[2]
  2. Solve the inequality \(-3x+4<-2x-6\).[1]
  3. It is given that \(p=\dfrac{r^2q-2}{q-r^2}\).
    1. Find \(p\) when \(r=\dfrac12\) and \(q=-1\).[2]
    2. Express \(r\) in terms of \(p\) and \(q\).[3]
  4. Solve \(\dfrac{x+3}{2x^2-8x+6}+\dfrac{5x}{3-x}=\dfrac2{x-1}\). Give your solutions correct to two decimal places.[4]

Solution:

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Answer:(a) \(-1\frac{22}{23}\) (b) \(x>10\) (c)(i) \(\frac95\) (ii) \(r=\pm\sqrt{\frac{pq+2}{p+q}}\) (d) \(x=1.62\) or \(-0.92\)

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