(i) Factorize EACH of the following algebraic expressions
1. \(x^2-49\)
2. \(x^2+2x-35\)
  
  [2]
(ii) Hence, simplify the expression \(\displaystyle {x^2-49\over x^2+2x-35}\)

[1]
Rearrange the formula shown below to make \(m\) the subject.

\[s=k-m^2\]

[2]
Lisa has $56 to buy a total of no more than 70 red balloons and green balloons for her party.

She buys more green balloons than red balloons but must buy at least 15 red balloons. Each red balloon costs $0.75 and each green balloon costs $0.50.

Let \(x\) and \(y\) represent the number of red balloons and the number of green balloons respectively. Write TWO inequalities in \(x\) and \(y\), other than \(x\geq0\) and \(y\geq0\), to represent the information above.

[2]
Given that \(y\) is inversely proportional to \((x-2)\) and \(x=11\) when \(y=9\), find the value of \(y\) when \(x=29\).

[2]

Questions

2025/CSEC/Jan/Q02