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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 232 · 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 + 10 = 13, what is x? (a) 115 (b) 3 (c) 55 (d) 15
  2. 2.If 2x − 1 = 5, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  3. 3.If 4x − 17 = 7, what is x? (a) 7 (b) 6 (c) 5 (d) 24
  4. 4.If 7x − 14 = 70, what is x? (a) 8 (b) 84 (c) 12 (d) 13
  5. 5.If 7x + 29 = 92, what is x? (a) 63 (b) 10 (c) 8 (d) 9
  6. 6.If 8x − 16 = 64, what is x? (a) 11 (b) 6 (c) 80 (d) 10
  7. 7.If x/3 + 1 = 11, what is x? (a) 10 (b) 32 (c) 36 (d) 30
  8. 8.If 6x + 2 = 38, what is x? (a) 5 (b) 36 (c) 6 (d) 7
  9. 9.If 5x + 1 = 71, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  10. 10.If x/6 + 7 = 11, what is x? (a) 4 (b) 24 (c) 108 (d) 59
  11. 11.If 4x + 20 = 72, what is x? (a) 13 (b) 14 (c) 52 (d) 23
  12. 12.If 2x + 2 = 28, what is x? (a) 13 (b) 14 (c) 26 (d) 15
  13. 13.If 8x − 13 = 19, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  14. 14.If 7x − 48 = 1, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  15. 15.If x/6 + 4 = 7, what is x? (a) 18 (b) 66 (c) 38 (d) 3
  16. 16.If 5x + 17 = 87, what is x? (a) 13 (b) 14 (c) 70 (d) 15
  17. 17.If x/5 + 13 = 24, what is x? (a) 185 (b) 55 (c) 11 (d) 107
  18. 18.If 3x + 17 = x + 21, what is x? (a) 3 (b) 1 (c) 19 (d) 2
  19. 19.If 7x − 4 = 17, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  20. 20.If 3x + 17 = x + 37, what is x? (a) 27 (b) 10 (c) 11 (d) 5
  21. 21.If 2x − 15 = 5, what is x? (a) 9 (b) 10 (c) 20 (d) 11
  22. 22.If 5x + 4 = 44, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  23. 23.If 4x + 4 = 2x + 22, what is x? (a) 3 (b) 10 (c) 9 (d) 13
  24. 24.If x/5 + 12 = 18, what is x? (a) 150 (b) 6 (c) 78 (d) 30
  25. 25.If 3x + 3 = 2x + 15, what is x? (a) 12 (b) 18 (c) 14 (d) 13
  26. 26.If x/6 + 2 = 6, what is x? (a) 4 (b) 48 (c) 24 (d) 34
  27. 27.If 6x + 14 = 50, what is x? (a) 36 (b) 6 (c) 5 (d) 7
  28. 28.If 5x + 6 = 31, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  29. 29.If 3x − 3 = 3, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  30. 30.If 8x − 14 = 34, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  31. 31.If 8x + 19 = 139, what is x? (a) 15 (b) 16 (c) 120 (d) 14
  32. 32.If 9x − 41 = 40, what is x? (a) 9 (b) 81 (c) 10 (d) 8
  33. 33.If 9x + 7 = 3x + 13, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  34. 34.If 3x + 1 = 28, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  35. 35.If 2x + 6 = 20, what is x? (a) 14 (b) 13 (c) 8 (d) 7
  36. 36.If x/4 + 6 = 18, what is x? (a) 48 (b) 12 (c) 66 (d) 96
  37. 37.If 4x + 1 = 2x + 21, what is x? (a) 9 (b) 12 (c) 11 (d) 10
  38. 38.If 4x + 19 = x + 31, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  39. 39.If 5x − 9 = 11, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  40. 40.If 5x − 6 = 9, what is x? (a) 2 (b) 15 (c) 4 (d) 3

Answer key

  1. 15
  2. 3
  3. 6
  4. 12
  5. 9
  6. 10
  7. 30
  8. 6
  9. 14
  10. 24
  11. 13
  12. 13
  13. 4
  14. 7
  15. 18
  16. 14
  17. 55
  18. 2
  19. 3
  20. 10
  21. 10
  22. 8
  23. 9
  24. 30
  25. 12
  26. 24
  27. 6
  28. 5
  29. 2
  30. 6
  31. 15
  32. 9
  33. 1
  34. 9
  35. 7
  36. 48
  37. 10
  38. 4
  39. 4
  40. 3

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