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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 107 · 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/3 + 4 = 13, what is x? (a) 9 (b) 51 (c) 27 (d) 35
  2. 2.If 2x + 14 = 22, what is x? (a) 18 (b) 5 (c) 4 (d) 8
  3. 3.If 2x − 3 = 9, what is x? (a) 12 (b) 6 (c) 7 (d) 3
  4. 4.If 7x + 5 = 110, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  5. 5.If 3x + 1 = x + 7, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  6. 6.If 2x − 8 = 4, what is x? (a) 5 (b) 12 (c) 6 (d) 7
  7. 7.If x/4 + 9 = 20, what is x? (a) 116 (b) 71 (c) 11 (d) 44
  8. 8.If 5x − 6 = 4, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  9. 9.If 4x + 18 = 3x + 26, what is x? (a) 9 (b) 44 (c) 10 (d) 8
  10. 10.If x/5 + 2 = 8, what is x? (a) 38 (b) 50 (c) 30 (d) 6
  11. 11.If 3x + 18 = 54, what is x? (a) 24 (b) 13 (c) 36 (d) 12
  12. 12.If 5x − 17 = 8, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  13. 13.If 9x + 6 = 5x + 18, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  14. 14.If 9x + 11 = 6x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  15. 15.If 5x + 14 = 2x + 50, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  16. 16.If x/2 + 10 = 20, what is x? (a) 30 (b) 20 (c) 10 (d) 60
  17. 17.If 7x − 61 = 30, what is x? (a) 14 (b) 12 (c) 91 (d) 13
  18. 18.If x/5 + 13 = 24, what is x? (a) 55 (b) 11 (c) 185 (d) 107
  19. 19.If 4x + 1 = 41, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  20. 20.If 3x + 10 = 37, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  21. 21.If 5x + 5 = 25, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  22. 22.If 6x + 19 = 2x + 59, what is x? (a) 11 (b) 12 (c) 5 (d) 10
  23. 23.If 6x + 17 = 5x + 21, what is x? (a) 6 (b) 4 (c) 5 (d) 38
  24. 24.If 7x + 5 = 68, what is x? (a) 8 (b) 63 (c) 9 (d) 10
  25. 25.If 9x + 29 = 146, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  26. 26.If 2x + 23 = 51, what is x? (a) 14 (b) 28 (c) 37 (d) 15
  27. 27.If 4x + 6 = 3x + 8, what is x? (a) 3 (b) 14 (c) 2 (d) 4
  28. 28.If x/6 + 10 = 17, what is x? (a) 7 (b) 92 (c) 42 (d) 162
  29. 29.If 7x − 68 = 9, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  30. 30.If 9x − 99 = 36, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  31. 31.If x/3 + 1 = 5, what is x? (a) 12 (b) 18 (c) 4 (d) 14
  32. 32.If x/3 + 14 = 20, what is x? (a) 6 (b) 46 (c) 18 (d) 102
  33. 33.If 5x + 11 = 2x + 26, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  34. 34.If x/5 + 12 = 14, what is x? (a) 2 (b) 130 (c) 10 (d) 58
  35. 35.If 4x + 26 = 62, what is x? (a) 10 (b) 36 (c) 9 (d) 22
  36. 36.If x/2 + 5 = 8, what is x? (a) 26 (b) 3 (c) 6 (d) 11
  37. 37.If 2x + 19 = 39, what is x? (a) 11 (b) 10 (c) 20 (d) 29
  38. 38.If x/2 + 2 = 8, what is x? (a) 6 (b) 20 (c) 14 (d) 12
  39. 39.If x/6 + 4 = 6, what is x? (a) 2 (b) 32 (c) 60 (d) 12
  40. 40.If x/4 + 12 = 19, what is x? (a) 7 (b) 28 (c) 124 (d) 64

Answer key

  1. 27
  2. 4
  3. 6
  4. 15
  5. 3
  6. 6
  7. 44
  8. 2
  9. 8
  10. 30
  11. 12
  12. 5
  13. 3
  14. 1
  15. 12
  16. 20
  17. 13
  18. 55
  19. 10
  20. 9
  21. 4
  22. 10
  23. 4
  24. 9
  25. 13
  26. 14
  27. 2
  28. 42
  29. 11
  30. 15
  31. 12
  32. 18
  33. 5
  34. 10
  35. 9
  36. 6
  37. 10
  38. 12
  39. 12
  40. 28

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