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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 121 · 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 4x − 55 = 1, what is x? (a) 14 (b) 15 (c) 56 (d) 13
  2. 2.If x/6 + 15 = 19, what is x? (a) 99 (b) 24 (c) 204 (d) 4
  3. 3.If 6x − 6 = 6, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  4. 4.If x/2 + 8 = 13, what is x? (a) 10 (b) 42 (c) 5 (d) 18
  5. 5.If 6x + 15 = 69, what is x? (a) 9 (b) 10 (c) 14 (d) 54
  6. 6.If 9x + 12 = 4x + 27, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  7. 7.If x/4 + 10 = 12, what is x? (a) 2 (b) 88 (c) 38 (d) 8
  8. 8.If x/6 + 4 = 6, what is x? (a) 60 (b) 32 (c) 2 (d) 12
  9. 9.If 6x + 30 = 72, what is x? (a) 8 (b) 17 (c) 7 (d) 42
  10. 10.If 5x + 19 = x + 35, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  11. 11.If 9x + 5 = 7x + 9, what is x? (a) 7 (b) 3 (c) 2 (d) 4
  12. 12.If 2x + 27 = 31, what is x? (a) 4 (b) 2 (c) 3 (d) 29
  13. 13.If 9x + 15 = 78, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  14. 14.If 6x + 6 = x + 56, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  15. 15.If 6x + 4 = 16, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  16. 16.If 3x + 3 = 15, what is x? (a) 5 (b) 6 (c) 12 (d) 4
  17. 17.If x/5 + 3 = 8, what is x? (a) 55 (b) 5 (c) 37 (d) 25
  18. 18.If 8x + 1 = x + 36, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  19. 19.If x/4 + 6 = 16, what is x? (a) 10 (b) 40 (c) 58 (d) 88
  20. 20.If 3x + 6 = x + 14, what is x? (a) 5 (b) 2 (c) 10 (d) 4
  21. 21.If 8x + 6 = 5x + 21, what is x? (a) 9 (b) 7 (c) 5 (d) 6
  22. 22.If x/4 + 5 = 16, what is x? (a) 11 (b) 44 (c) 59 (d) 84
  23. 23.If x/3 + 12 = 23, what is x? (a) 105 (b) 11 (c) 33 (d) 57
  24. 24.If x/6 + 4 = 15, what is x? (a) 86 (b) 66 (c) 114 (d) 11
  25. 25.If 4x − 22 = 2, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  26. 26.If 7x − 13 = 57, what is x? (a) 10 (b) 11 (c) 70 (d) 9
  27. 27.If 7x − 4 = 10, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  28. 28.If 4x + 11 = 2x + 19, what is x? (a) 5 (b) 15 (c) 6 (d) 4
  29. 29.If 5x + 22 = 47, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  30. 30.If 9x + 9 = 117, what is x? (a) 108 (b) 14 (c) 13 (d) 12
  31. 31.If 2x + 4 = 10, what is x? (a) 7 (b) 6 (c) 4 (d) 3
  32. 32.If 3x − 2 = 19, what is x? (a) 7 (b) 8 (c) 6 (d) 21
  33. 33.If x/3 + 1 = 3, what is x? (a) 6 (b) 8 (c) 2 (d) 12
  34. 34.If 7x + 12 = 117, what is x? (a) 15 (b) 16 (c) 105 (d) 14
  35. 35.If 8x + 23 = 127, what is x? (a) 13 (b) 12 (c) 14 (d) 104
  36. 36.If 3x + 9 = 24, what is x? (a) 11 (b) 15 (c) 6 (d) 5
  37. 37.If 5x + 16 = 4x + 27, what is x? (a) 13 (b) 12 (c) 11 (d) 43
  38. 38.If x/2 + 1 = 9, what is x? (a) 20 (b) 16 (c) 8 (d) 17
  39. 39.If x/3 + 12 = 22, what is x? (a) 102 (b) 30 (c) 54 (d) 10
  40. 40.If 2x + 5 = 25, what is x? (a) 15 (b) 11 (c) 20 (d) 10

Answer key

  1. 14
  2. 24
  3. 2
  4. 10
  5. 9
  6. 3
  7. 8
  8. 12
  9. 7
  10. 4
  11. 2
  12. 2
  13. 7
  14. 10
  15. 2
  16. 4
  17. 25
  18. 5
  19. 40
  20. 4
  21. 5
  22. 44
  23. 33
  24. 66
  25. 6
  26. 10
  27. 2
  28. 4
  29. 5
  30. 12
  31. 3
  32. 7
  33. 6
  34. 15
  35. 13
  36. 5
  37. 11
  38. 16
  39. 30
  40. 10

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