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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 400 · 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/5 + 11 = 19, what is x? (a) 84 (b) 150 (c) 8 (d) 40
  2. 2.If 2x − 6 = 4, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  3. 3.If x/2 + 8 = 13, what is x? (a) 10 (b) 5 (c) 42 (d) 18
  4. 4.If x/5 + 8 = 11, what is x? (a) 3 (b) 95 (c) 47 (d) 15
  5. 5.If 5x + 6 = 4x + 8, what is x? (a) 14 (b) 3 (c) 4 (d) 2
  6. 6.If x/4 + 9 = 12, what is x? (a) 39 (b) 12 (c) 84 (d) 3
  7. 7.If 8x + 3 = 51, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  8. 8.If 4x + 30 = 86, what is x? (a) 14 (b) 29 (c) 15 (d) 56
  9. 9.If 7x − 19 = 23, what is x? (a) 5 (b) 42 (c) 7 (d) 6
  10. 10.If x/5 + 1 = 12, what is x? (a) 59 (b) 55 (c) 65 (d) 11
  11. 11.If x/3 + 11 = 15, what is x? (a) 4 (b) 12 (c) 78 (d) 34
  12. 12.If x/5 + 2 = 4, what is x? (a) 10 (b) 30 (c) 18 (d) 2
  13. 13.If 7x − 12 = 23, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  14. 14.If 4x − 7 = 25, what is x? (a) 9 (b) 8 (c) 32 (d) 7
  15. 15.If 5x + 28 = 53, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  16. 16.If x/6 + 8 = 10, what is x? (a) 108 (b) 52 (c) 12 (d) 2
  17. 17.If 4x + 13 = 29, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  18. 18.If 5x + 2 = 4x + 9, what is x? (a) 8 (b) 9 (c) 11 (d) 7
  19. 19.If x/3 + 6 = 12, what is x? (a) 6 (b) 18 (c) 54 (d) 30
  20. 20.If 4x + 11 = 51, what is x? (a) 11 (b) 9 (c) 10 (d) 40
  21. 21.If 9x + 22 = 139, what is x? (a) 12 (b) 117 (c) 14 (d) 13
  22. 22.If 4x + 13 = 3x + 25, what is x? (a) 13 (b) 12 (c) 38 (d) 14
  23. 23.If 3x − 23 = 13, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  24. 24.If 3x + 18 = x + 42, what is x? (a) 30 (b) 6 (c) 12 (d) 13
  25. 25.If 5x + 9 = 84, what is x? (a) 16 (b) 14 (c) 15 (d) 75
  26. 26.If 3x + 25 = 40, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  27. 27.If 2x + 12 = 30, what is x? (a) 18 (b) 21 (c) 10 (d) 9
  28. 28.If x/2 + 8 = 10, what is x? (a) 2 (b) 36 (c) 12 (d) 4
  29. 29.If 4x + 5 = 3x + 16, what is x? (a) 12 (b) 11 (c) 13 (d) 21
  30. 30.If 7x + 11 = 95, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  31. 31.If 6x − 2 = 22, what is x? (a) 3 (b) 4 (c) 5 (d) 24
  32. 32.If 6x − 72 = 6, what is x? (a) 12 (b) 14 (c) 13 (d) 78
  33. 33.If x/2 + 7 = 14, what is x? (a) 7 (b) 14 (c) 21 (d) 42
  34. 34.If x/3 + 14 = 16, what is x? (a) 2 (b) 34 (c) 90 (d) 6
  35. 35.If x/3 + 11 = 17, what is x? (a) 6 (b) 40 (c) 18 (d) 84
  36. 36.If x/5 + 5 = 17, what is x? (a) 80 (b) 12 (c) 60 (d) 110
  37. 37.If x/6 + 1 = 12, what is x? (a) 66 (b) 11 (c) 71 (d) 78
  38. 38.If 6x + 10 = 70, what is x? (a) 10 (b) 60 (c) 9 (d) 11
  39. 39.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 75 (d) 10
  40. 40.If 5x − 5 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 10

Answer key

  1. 40
  2. 5
  3. 10
  4. 15
  5. 2
  6. 12
  7. 6
  8. 14
  9. 6
  10. 55
  11. 12
  12. 10
  13. 5
  14. 8
  15. 5
  16. 12
  17. 4
  18. 7
  19. 18
  20. 10
  21. 13
  22. 12
  23. 12
  24. 12
  25. 15
  26. 5
  27. 9
  28. 4
  29. 11
  30. 12
  31. 4
  32. 13
  33. 14
  34. 6
  35. 18
  36. 60
  37. 66
  38. 10
  39. 60
  40. 2

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