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Grade 9 · Algebraic Expressions
Algebraic Fractions (Grade 9)
MEMORANDUM
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Mark
/ 16
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.
- 1Simplify: 6x²/3x(1)2x, x ≠ 0✓ (1)
- 2Simplify: (x² + 3x)/x(2)(x(x + 3))/x = x + 3, x ≠ 0✓✓ (2)
- 3Simplify: 10a³/5a(1)2a², a ≠ 0✓ (1)
- 4Simplify: 2x/3 × 9/4x²(3)18x/12x² = 3/2x, x ≠ 0✓✓✓ (3)
- 5Simplify: x/4 ÷ x/2(2)x/4 × 2/x = 1/2, x ≠ 0✓✓ (2)
- 6Simplify: x/2 + x/3(2)5x/6✓✓ (2)
- 7Simplify: 3/x + 2/5(3)(15 + 2x)/5x, x ≠ 0✓✓✓ (3)
- 8Why can you not cancel the x in (x² + 3x)/x before factorising?(2)Because cancelling works only on factors, not on terms that are added. Factorise the top first.✓✓ (2)
TOTAL: 16 marks