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Grade 9 · Equations
Solving Linear Equations: Every Type in the Exam
MEMORANDUM
Name:
Class:
Date:
Mark
/ 28
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 + 9 = 15 (one-step)(2)x = 15 − 9 = 6✓✓ (2)
- 2Solve 4x = 32 (one-step)(2)x = 32 ÷ 4 = 8✓✓ (2)
- 3Solve 3x + 7 = 22 (two-step)(2)3x = 15 → x = 5✓✓ (2)
- 4Solve 5x − 4 = 21 (two-step)(2)5x = 25 → x = 5✓✓ (2)
- 5Solve 6x − 5 = 2x + 11 (both sides)(2)4x = 16 → x = 4✓✓ (2)
- 6Solve 7x + 3 = 4x + 18 (both sides)(2)3x = 15 → x = 5✓✓ (2)
- 7Solve 2(x + 4) = 18 (brackets)(2)2x + 8 = 18 → 2x = 10 → x = 5✓✓ (2)
- 8Solve 5(x − 3) = 2(x + 3) (brackets)(2)5x − 15 = 2x + 6 → 3x = 21 → x = 7✓✓ (2)
- 9Solve 10 − 3x = 1 (negative x)(2)−3x = −9 → x = 3✓✓ (2)
- 10Solve 12 − 5x = 2x − 2 (negative + both sides)(2)12 + 2 = 2x + 5x → 14 = 7x → x = 2✓✓ (2)
- 11Solve x⁄3 + x⁄6 = 3 (fractions)(2)×6: 2x + x = 18 → 3x = 18 → x = 6✓✓ (2)
- 12Solve x⁄4 − 1 = 2 (fractions)(2)x⁄4 = 3 → x = 12✓✓ (2)
- 13A number doubled and then increased by 5 gives 23. Find it. (word problem)(2)2x + 5 = 23 → 2x = 18 → x = 9✓✓ (2)
- 14Five less than four times a number is 27. Find it. (word problem)(2)4x − 5 = 27 → 4x = 32 → x = 8✓✓ (2)
TOTAL: 28 marks