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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 20 · 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 x/2 + 13 = 22, what is x? (a) 31 (b) 9 (c) 18 (d) 70
  2. 2.If x/6 + 9 = 15, what is x? (a) 6 (b) 81 (c) 144 (d) 36
  3. 3.If 8x + 2 = 34, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  4. 4.If x/6 + 1 = 12, what is x? (a) 11 (b) 78 (c) 71 (d) 66
  5. 5.If 9x + 17 = 62, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  6. 6.If x/2 + 5 = 12, what is x? (a) 14 (b) 19 (c) 34 (d) 7
  7. 7.If 2x + 26 = 42, what is x? (a) 34 (b) 8 (c) 16 (d) 9
  8. 8.If 8x + 22 = 134, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  9. 9.If 7x + 12 = x + 48, what is x? (a) 10 (b) 8 (c) 7 (d) 6
  10. 10.If 5x + 7 = 22, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  11. 11.If x/3 + 11 = 16, what is x? (a) 37 (b) 81 (c) 15 (d) 5
  12. 12.If 5x + 5 = 3x + 7, what is x? (a) 6 (b) 3 (c) 1 (d) 2
  13. 13.If x/2 + 14 = 23, what is x? (a) 18 (b) 9 (c) 32 (d) 74
  14. 14.If x/3 + 12 = 20, what is x? (a) 96 (b) 24 (c) 48 (d) 8
  15. 15.If x/6 + 8 = 19, what is x? (a) 11 (b) 106 (c) 66 (d) 162
  16. 16.If 3x + 21 = 51, what is x? (a) 30 (b) 11 (c) 24 (d) 10
  17. 17.If 4x − 7 = 29, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  18. 18.If 7x + 22 = 106, what is x? (a) 84 (b) 13 (c) 12 (d) 11
  19. 19.If x/2 + 7 = 15, what is x? (a) 16 (b) 23 (c) 8 (d) 44
  20. 20.If 3x + 6 = 18, what is x? (a) 12 (b) 4 (c) 8 (d) 5
  21. 21.If x/5 + 5 = 17, what is x? (a) 12 (b) 60 (c) 80 (d) 110
  22. 22.If 2x + 17 = 43, what is x? (a) 26 (b) 13 (c) 14 (d) 30
  23. 23.If 7x + 13 = 3x + 53, what is x? (a) 10 (b) 11 (c) 12 (d) 4
  24. 24.If 4x + 30 = 42, what is x? (a) 3 (b) 12 (c) 18 (d) 4
  25. 25.If 6x − 23 = 7, what is x? (a) 4 (b) 5 (c) 30 (d) 6
  26. 26.If x/3 + 2 = 12, what is x? (a) 10 (b) 42 (c) 30 (d) 34
  27. 27.If 9x − 2 = 25, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  28. 28.If 6x + 19 = 4x + 43, what is x? (a) 14 (b) 31 (c) 12 (d) 13
  29. 29.If 4x − 3 = 21, what is x? (a) 6 (b) 7 (c) 24 (d) 5
  30. 30.If x/5 + 12 = 15, what is x? (a) 63 (b) 3 (c) 15 (d) 135
  31. 31.If 6x − 6 = 6, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  32. 32.If 4x + 18 = 2x + 42, what is x? (a) 4 (b) 12 (c) 13 (d) 30
  33. 33.If 8x + 2 = 5x + 11, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  34. 34.If 3x − 5 = 31, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  35. 35.If 3x + 25 = 55, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  36. 36.If 4x + 12 = x + 45, what is x? (a) 12 (b) 19 (c) 13 (d) 11
  37. 37.If 3x + 16 = 25, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  38. 38.If 3x + 11 = x + 21, what is x? (a) 5 (b) 16 (c) 7 (d) 6
  39. 39.If 9x + 10 = 37, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  40. 40.If x/6 + 4 = 15, what is x? (a) 86 (b) 11 (c) 114 (d) 66

Answer key

  1. 18
  2. 36
  3. 4
  4. 66
  5. 5
  6. 14
  7. 8
  8. 14
  9. 6
  10. 3
  11. 15
  12. 1
  13. 18
  14. 24
  15. 66
  16. 10
  17. 9
  18. 12
  19. 16
  20. 4
  21. 60
  22. 13
  23. 10
  24. 3
  25. 5
  26. 30
  27. 3
  28. 12
  29. 6
  30. 15
  31. 2
  32. 12
  33. 3
  34. 12
  35. 10
  36. 11
  37. 3
  38. 5
  39. 3
  40. 66

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