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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 814 · 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 + 8 = 20, what is x? (a) 12 (b) 4 (c) 3 (d) 7
  2. 2.If x/3 + 12 = 17, what is x? (a) 39 (b) 87 (c) 15 (d) 5
  3. 3.If 9x + 1 = 5x + 29, what is x? (a) 8 (b) 9 (c) 2 (d) 7
  4. 4.If x/6 + 11 = 22, what is x? (a) 121 (b) 66 (c) 198 (d) 11
  5. 5.If 4x + 5 = 2x + 7, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  6. 6.If x/6 + 10 = 16, what is x? (a) 86 (b) 36 (c) 156 (d) 6
  7. 7.If 9x + 3 = 6x + 21, what is x? (a) 8 (b) 5 (c) 6 (d) 7
  8. 8.If 4x − 30 = 30, what is x? (a) 16 (b) 15 (c) 14 (d) 60
  9. 9.If 9x + 11 = 83, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  10. 10.If x/3 + 15 = 23, what is x? (a) 114 (b) 8 (c) 54 (d) 24
  11. 11.If 6x + 17 = 2x + 65, what is x? (a) 12 (b) 6 (c) 13 (d) 14
  12. 12.If 3x + 26 = 68, what is x? (a) 15 (b) 13 (c) 42 (d) 14
  13. 13.If 9x + 25 = 61, what is x? (a) 3 (b) 5 (c) 36 (d) 4
  14. 14.If 9x + 2 = 2x + 37, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  15. 15.If 3x + 28 = 40, what is x? (a) 4 (b) 5 (c) 12 (d) 3
  16. 16.If x/5 + 9 = 12, what is x? (a) 51 (b) 15 (c) 3 (d) 105
  17. 17.If 4x + 15 = x + 51, what is x? (a) 13 (b) 14 (c) 22 (d) 12
  18. 18.If 9x + 20 = 47, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  19. 19.If x/5 + 7 = 18, what is x? (a) 125 (b) 11 (c) 83 (d) 55
  20. 20.If 4x + 3 = x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  21. 21.If x/3 + 8 = 12, what is x? (a) 60 (b) 4 (c) 28 (d) 12
  22. 22.If 3x + 11 = 44, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  23. 23.If x/6 + 1 = 13, what is x? (a) 12 (b) 72 (c) 77 (d) 84
  24. 24.If 5x + 17 = 4x + 19, what is x? (a) 4 (b) 3 (c) 36 (d) 2
  25. 25.If 2x + 19 = 31, what is x? (a) 6 (b) 7 (c) 25 (d) 12
  26. 26.If 5x + 25 = 90, what is x? (a) 14 (b) 13 (c) 23 (d) 65
  27. 27.If 4x + 28 = 84, what is x? (a) 56 (b) 14 (c) 28 (d) 15
  28. 28.If x/3 + 10 = 17, what is x? (a) 7 (b) 81 (c) 21 (d) 41
  29. 29.If 3x + 20 = x + 22, what is x? (a) 2 (b) 1 (c) 21 (d) 3
  30. 30.If 6x + 13 = 2x + 37, what is x? (a) 3 (b) 8 (c) 6 (d) 7
  31. 31.If 8x + 14 = 3x + 24, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  32. 32.If 2x + 17 = 31, what is x? (a) 24 (b) 7 (c) 14 (d) 8
  33. 33.If x/4 + 14 = 23, what is x? (a) 148 (b) 36 (c) 9 (d) 78
  34. 34.If 8x + 17 = 33, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  35. 35.If 7x + 5 = 82, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  36. 36.If 3x + 23 = 53, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  37. 37.If 4x + 17 = 57, what is x? (a) 10 (b) 40 (c) 9 (d) 11
  38. 38.If 3x + 19 = x + 33, what is x? (a) 9 (b) 26 (c) 8 (d) 7
  39. 39.If 3x + 25 = 31, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  40. 40.If 4x + 19 = 2x + 23, what is x? (a) 4 (b) 2 (c) 21 (d) 3

Answer key

  1. 3
  2. 15
  3. 7
  4. 66
  5. 1
  6. 36
  7. 6
  8. 15
  9. 8
  10. 24
  11. 12
  12. 14
  13. 4
  14. 5
  15. 4
  16. 15
  17. 12
  18. 3
  19. 55
  20. 1
  21. 12
  22. 11
  23. 72
  24. 2
  25. 6
  26. 13
  27. 14
  28. 21
  29. 1
  30. 6
  31. 2
  32. 7
  33. 36
  34. 2
  35. 11
  36. 10
  37. 10
  38. 7
  39. 2
  40. 2

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