iGCSE Mathematics (0580) - C2.2 Algebraic manipulation- Exam Style Questions Paper 1- New Syllabus
▶️ Answer/Explanation
Expand using FOIL (First, Outer, Inner, Last):
\[(x+3)(x-2) = x^2 – 2x + 3x – 6\]
Collect like terms: \(-2x + 3x = +x\).
\[= x^2 + x – 6\]
✅ Answer: \(x^2 + x – 6\)
\[(x+3)(x-2) = x^2 – 2x + 3x – 6\]
Collect like terms: \(-2x + 3x = +x\).
\[= x^2 + x – 6\]
✅ Answer: \(x^2 + x – 6\)
▶️ Answer/Explanation
(a)
Combine the like terms by adding their coefficients:
\(3 – 4 + 2 = 1\).
Thus, the expression simplifies to \(1y\) or just \(y\).
✅ Answer: \(y\)
(b)(i)
Subtract \(5\) from both sides of the equation:
\(x = 19 – 5\)
\(x = 14\)
✅ Answer: \(x = 14\)
(b)(ii)
Add \(5\) to both sides of the equation:
\(6x = 7 + 5\)
\(6x = 12\)
Divide both sides by \(6\):
\(x = 12 \div 6 = 2\)
✅ Answer: \(x = 2\)
