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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 877 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 2x + 8 = 12, what is x? (a) 3 (b) 4 (c) 2 (d) 10
  2. 2.If 6x + 14 = 74, what is x? (a) 9 (b) 11 (c) 10 (d) 60
  3. 3.If 9x + 12 = 8x + 15, what is x? (a) 3 (b) 5 (c) 27 (d) 4
  4. 4.If x/2 + 6 = 12, what is x? (a) 12 (b) 18 (c) 36 (d) 6
  5. 5.If 5x − 11 = 9, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  6. 6.If 7x + 5 = x + 47, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  7. 7.If 9x − 15 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  8. 8.If 8x + 7 = 95, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  9. 9.If 5x + 10 = 4x + 17, what is x? (a) 7 (b) 27 (c) 8 (d) 9
  10. 10.If 2x − 4 = 2, what is x? (a) 2 (b) 4 (c) 6 (d) 3
  11. 11.If 3x + 19 = x + 33, what is x? (a) 7 (b) 26 (c) 8 (d) 9
  12. 12.If x/3 + 9 = 16, what is x? (a) 75 (b) 7 (c) 21 (d) 39
  13. 13.If 6x − 5 = 7, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  14. 14.If 6x + 2 = x + 37, what is x? (a) 8 (b) 5 (c) 9 (d) 7
  15. 15.If x/3 + 9 = 15, what is x? (a) 36 (b) 6 (c) 72 (d) 18
  16. 16.If 5x + 30 = 65, what is x? (a) 8 (b) 35 (c) 7 (d) 19
  17. 17.If 4x − 30 = 14, what is x? (a) 44 (b) 11 (c) 12 (d) 10
  18. 18.If 8x + 20 = 84, what is x? (a) 64 (b) 13 (c) 8 (d) 9
  19. 19.If x/5 + 4 = 7, what is x? (a) 3 (b) 31 (c) 15 (d) 55
  20. 20.If 9x + 12 = 111, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  21. 21.If 4x + 13 = 21, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  22. 22.If 3x + 24 = 42, what is x? (a) 7 (b) 22 (c) 6 (d) 18
  23. 23.If x/4 + 1 = 7, what is x? (a) 32 (b) 6 (c) 24 (d) 27
  24. 24.If 5x − 1 = 14, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  25. 25.If x/5 + 6 = 14, what is x? (a) 8 (b) 100 (c) 40 (d) 64
  26. 26.If 4x + 7 = 15, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  27. 27.If 8x − 4 = 76, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  28. 28.If 4x + 7 = 27, what is x? (a) 5 (b) 4 (c) 20 (d) 6
  29. 29.If x/6 + 7 = 11, what is x? (a) 24 (b) 4 (c) 108 (d) 59
  30. 30.If x/2 + 8 = 13, what is x? (a) 42 (b) 10 (c) 5 (d) 18
  31. 31.If 2x + 9 = 27, what is x? (a) 8 (b) 18 (c) 10 (d) 9
  32. 32.If 7x + 28 = 70, what is x? (a) 42 (b) 6 (c) 7 (d) 14
  33. 33.If 5x + 27 = 92, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  34. 34.If 2x − 3 = 17, what is x? (a) 20 (b) 10 (c) 11 (d) 7
  35. 35.If 4x − 8 = 12, what is x? (a) 6 (b) 1 (c) 5 (d) 20
  36. 36.If 5x + 4 = 2x + 7, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  37. 37.If 4x − 16 = 4, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  38. 38.If 6x + 10 = 2x + 46, what is x? (a) 10 (b) 9 (c) 11 (d) 14
  39. 39.If 9x + 20 = 5x + 52, what is x? (a) 8 (b) 18 (c) 10 (d) 9
  40. 40.If 8x + 18 = 3x + 33, what is x? (a) 4 (b) 2 (c) 3 (d) 5

Answer key

  1. 2
  2. 10
  3. 3
  4. 12
  5. 4
  6. 7
  7. 2
  8. 11
  9. 7
  10. 3
  11. 7
  12. 21
  13. 2
  14. 7
  15. 18
  16. 7
  17. 11
  18. 8
  19. 15
  20. 11
  21. 2
  22. 6
  23. 24
  24. 3
  25. 40
  26. 2
  27. 10
  28. 5
  29. 24
  30. 10
  31. 9
  32. 6
  33. 13
  34. 10
  35. 5
  36. 1
  37. 5
  38. 9
  39. 8
  40. 3

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