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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 751 · 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 = 37, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  2. 2.If 4x + 15 = 35, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  3. 3.If x/5 + 1 = 12, what is x? (a) 55 (b) 59 (c) 65 (d) 11
  4. 4.If x/3 + 1 = 3, what is x? (a) 2 (b) 12 (c) 8 (d) 6
  5. 5.If 3x + 6 = 33, what is x? (a) 13 (b) 27 (c) 10 (d) 9
  6. 6.If 7x + 9 = 114, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  7. 7.If x/6 + 3 = 7, what is x? (a) 60 (b) 39 (c) 24 (d) 4
  8. 8.If 7x + 5 = 89, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  9. 9.If 4x − 8 = 4, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  10. 10.If x/3 + 4 = 14, what is x? (a) 30 (b) 54 (c) 10 (d) 38
  11. 11.If x/4 + 3 = 7, what is x? (a) 25 (b) 16 (c) 40 (d) 4
  12. 12.If x/4 + 6 = 15, what is x? (a) 54 (b) 9 (c) 36 (d) 84
  13. 13.If x/5 + 12 = 17, what is x? (a) 25 (b) 5 (c) 73 (d) 145
  14. 14.If 4x − 25 = 11, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  15. 15.If 6x + 13 = 4x + 33, what is x? (a) 23 (b) 10 (c) 11 (d) 2
  16. 16.If 6x + 3 = x + 23, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  17. 17.If 8x − 71 = 25, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  18. 18.If x/6 + 2 = 11, what is x? (a) 78 (b) 54 (c) 9 (d) 64
  19. 19.If 7x + 14 = 2x + 29, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  20. 20.If 3x + 19 = x + 23, what is x? (a) 2 (b) 21 (c) 3 (d) 1
  21. 21.If x/6 + 14 = 16, what is x? (a) 82 (b) 2 (c) 180 (d) 12
  22. 22.If 7x − 19 = 86, what is x? (a) 14 (b) 16 (c) 15 (d) 105
  23. 23.If 3x + 18 = x + 36, what is x? (a) 11 (b) 27 (c) 9 (d) 10
  24. 24.If 6x + 19 = 3x + 49, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  25. 25.If 4x + 6 = x + 21, what is x? (a) 9 (b) 5 (c) 6 (d) 3
  26. 26.If x/5 + 10 = 17, what is x? (a) 135 (b) 35 (c) 7 (d) 75
  27. 27.If 9x + 16 = 142, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  28. 28.If 3x − 12 = 27, what is x? (a) 39 (b) 14 (c) 5 (d) 13
  29. 29.If 4x + 19 = 3x + 29, what is x? (a) 11 (b) 12 (c) 48 (d) 10
  30. 30.If x/3 + 3 = 9, what is x? (a) 18 (b) 24 (c) 36 (d) 6
  31. 31.If 4x + 2 = x + 23, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  32. 32.If 4x − 13 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  33. 33.If 5x + 19 = 4x + 22, what is x? (a) 4 (b) 3 (c) 5 (d) 41
  34. 34.If 9x + 10 = 46, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  35. 35.If 4x + 30 = 42, what is x? (a) 4 (b) 3 (c) 12 (d) 18
  36. 36.If 3x − 23 = 13, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  37. 37.If 3x + 6 = x + 20, what is x? (a) 13 (b) 9 (c) 8 (d) 7
  38. 38.If x/4 + 6 = 9, what is x? (a) 60 (b) 12 (c) 30 (d) 3
  39. 39.If 9x + 19 = 145, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  40. 40.If 3x + 19 = 2x + 22, what is x? (a) 41 (b) 4 (c) 5 (d) 3

Answer key

  1. 13
  2. 5
  3. 55
  4. 6
  5. 9
  6. 15
  7. 24
  8. 12
  9. 3
  10. 30
  11. 16
  12. 36
  13. 25
  14. 9
  15. 10
  16. 4
  17. 12
  18. 54
  19. 3
  20. 2
  21. 12
  22. 15
  23. 9
  24. 10
  25. 5
  26. 35
  27. 14
  28. 13
  29. 10
  30. 18
  31. 7
  32. 4
  33. 3
  34. 4
  35. 3
  36. 12
  37. 7
  38. 12
  39. 14
  40. 3

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