2026 DSS P2 Q1

2026 DSS P2 Q1

Secondary 4
12 marks
  1. Find all the integers that satisfy the inequality \(5\leq2x-7<11\).[3]
  2. Factorise \(80x^2-45y^2\).[2]
  3. Solve \(\dfrac{18}{5-3x}=4\).[2]
    1. Express \((x-3)^2-4\) in the form \((x-a)(x-b)\).[2]
    2. Sketch the graph of \(y=(x-3)^2-4\) on the axes below. Indicate clearly the coordinates of the points where the graph crosses the axes and the turning point.[3]

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Answer:(a) 6,7,8. (b) \(5(4x-3y)(4x+3y)\). (c) \(1/6\). (d) \((x-1)(x-5)\); intercepts (1,0),(5,0),(0,5), minimum (3,−4).

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