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Grade 9 · Algebraic Equations
Solving Equations by Factorisation (Product = 0)
MEMORANDUM
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Class:
Date:
Mark
/ 18
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1Solve: (x − 2)(x + 6) = 0(2)x = 2 or x = −6✓✓ (2)
- 2Solve: (x + 1)(x − 7) = 0(2)x = −1 or x = 7✓✓ (2)
- 3Solve: x² + 5x + 6 = 0(2)(x+2)(x+3) = 0 → x = −2 or x = −3✓✓ (2)
- 4Solve: x² − 7x + 10 = 0(2)(x−2)(x−5) = 0 → x = 2 or x = 5✓✓ (2)
- 5Solve: x² − 3x = 0(2)x(x−3) = 0 → x = 0 or x = 3✓✓ (2)
- 6Solve: x² − 25 = 0(2)(x−5)(x+5) = 0 → x = 5 or x = −5✓✓ (2)
- 7Why may you not divide x² = 4x by x?(2)You would lose the root x = 0.✓✓ (2)
- 8Simplify: (10x³ + 5x²) ÷ 5x(2)2x² + x✓✓ (2)
- 9Simplify: (12x³ − 8x² + 4x) ÷ 4x(2)3x² − 2x + 1✓✓ (2)
TOTAL: 18 marks