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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 938 · 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 3x − 2 = 4, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  2. 2.If x/5 + 3 = 5, what is x? (a) 40 (b) 22 (c) 10 (d) 2
  3. 3.If x/5 + 3 = 14, what is x? (a) 85 (b) 11 (c) 55 (d) 67
  4. 4.If 4x + 10 = 46, what is x? (a) 36 (b) 14 (c) 9 (d) 10
  5. 5.If 6x + 19 = 43, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  6. 6.If 2x − 5 = 11, what is x? (a) 3 (b) 8 (c) 9 (d) 16
  7. 7.If 5x + 27 = 92, what is x? (a) 13 (b) 14 (c) 12 (d) 65
  8. 8.If 2x + 7 = 15, what is x? (a) 11 (b) 5 (c) 4 (d) 8
  9. 9.If 8x + 16 = 64, what is x? (a) 10 (b) 6 (c) 7 (d) 48
  10. 10.If 9x + 8 = 35, what is x? (a) 2 (b) 4 (c) 27 (d) 3
  11. 11.If 3x + 23 = 32, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  12. 12.If 8x + 4 = 20, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  13. 13.If 6x + 17 = 3x + 26, what is x? (a) 1 (b) 3 (c) 4 (d) 5
  14. 14.If 7x − 60 = 45, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  15. 15.If x/6 + 14 = 16, what is x? (a) 82 (b) 180 (c) 2 (d) 12
  16. 16.If 5x + 16 = 61, what is x? (a) 10 (b) 8 (c) 45 (d) 9
  17. 17.If 8x + 15 = 4x + 19, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  18. 18.If x/4 + 13 = 25, what is x? (a) 12 (b) 87 (c) 152 (d) 48
  19. 19.If 4x + 5 = 3x + 17, what is x? (a) 14 (b) 12 (c) 13 (d) 22
  20. 20.If 5x + 20 = x + 60, what is x? (a) 12 (b) 10 (c) 11 (d) 20
  21. 21.If x/2 + 5 = 10, what is x? (a) 5 (b) 15 (c) 10 (d) 30
  22. 22.If 8x + 25 = 89, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  23. 23.If x/6 + 8 = 11, what is x? (a) 18 (b) 114 (c) 58 (d) 3
  24. 24.If 7x − 10 = 60, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  25. 25.If 4x − 44 = 4, what is x? (a) 13 (b) 11 (c) 12 (d) 48
  26. 26.If 9x + 7 = 3x + 25, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  27. 27.If 4x + 2 = 2x + 10, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  28. 28.If x/6 + 3 = 14, what is x? (a) 81 (b) 66 (c) 102 (d) 11
  29. 29.If 2x + 12 = 26, what is x? (a) 8 (b) 7 (c) 19 (d) 14
  30. 30.If 4x − 29 = 23, what is x? (a) 52 (b) 12 (c) 13 (d) 14
  31. 31.If 5x − 53 = 17, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  32. 32.If 3x + 4 = 31, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  33. 33.If 3x − 26 = 13, what is x? (a) 14 (b) 13 (c) 39 (d) 12
  34. 34.If 5x + 12 = 4x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 26
  35. 35.If 2x − 15 = 9, what is x? (a) 13 (b) 11 (c) 12 (d) 24
  36. 36.If 4x + 28 = 68, what is x? (a) 11 (b) 24 (c) 10 (d) 40
  37. 37.If x/6 + 3 = 10, what is x? (a) 57 (b) 78 (c) 7 (d) 42
  38. 38.If 9x + 4 = 67, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  39. 39.If 7x + 3 = 38, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  40. 40.If 6x − 11 = 13, what is x? (a) 3 (b) 4 (c) 5 (d) 24

Answer key

  1. 2
  2. 10
  3. 55
  4. 9
  5. 4
  6. 8
  7. 13
  8. 4
  9. 6
  10. 3
  11. 3
  12. 2
  13. 3
  14. 15
  15. 12
  16. 9
  17. 1
  18. 48
  19. 12
  20. 10
  21. 10
  22. 8
  23. 18
  24. 10
  25. 12
  26. 3
  27. 4
  28. 66
  29. 7
  30. 13
  31. 14
  32. 9
  33. 13
  34. 2
  35. 12
  36. 10
  37. 42
  38. 7
  39. 5
  40. 4

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