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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 265 · 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 + 1 = 13, what is x? (a) 28 (b) 24 (c) 25 (d) 12
  2. 2.If 3x + 20 = 44, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  3. 3.If 8x + 9 = 3x + 49, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  4. 4.If 6x + 8 = 68, what is x? (a) 9 (b) 11 (c) 10 (d) 60
  5. 5.If 7x + 18 = x + 84, what is x? (a) 13 (b) 17 (c) 11 (d) 12
  6. 6.If x/6 + 11 = 23, what is x? (a) 12 (b) 204 (c) 127 (d) 72
  7. 7.If x/3 + 6 = 9, what is x? (a) 3 (b) 21 (c) 9 (d) 45
  8. 8.If 6x − 38 = 34, what is x? (a) 11 (b) 72 (c) 13 (d) 12
  9. 9.If 4x + 9 = x + 42, what is x? (a) 11 (b) 12 (c) 17 (d) 13
  10. 10.If 4x + 14 = 3x + 15, what is x? (a) 3 (b) 1 (c) 2 (d) 29
  11. 11.If 8x + 17 = 137, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  12. 12.If x/2 + 10 = 20, what is x? (a) 30 (b) 20 (c) 60 (d) 10
  13. 13.If 8x − 2 = 14, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  14. 14.If x/5 + 2 = 5, what is x? (a) 3 (b) 15 (c) 35 (d) 23
  15. 15.If 3x − 15 = 15, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  16. 16.If 3x + 20 = x + 24, what is x? (a) 22 (b) 3 (c) 1 (d) 2
  17. 17.If 4x + 6 = 3x + 13, what is x? (a) 1 (b) 7 (c) 8 (d) 19
  18. 18.If 9x + 6 = 3x + 78, what is x? (a) 14 (b) 13 (c) 12 (d) 6
  19. 19.If 4x − 6 = 10, what is x? (a) 1 (b) 4 (c) 5 (d) 16
  20. 20.If x/3 + 13 = 23, what is x? (a) 108 (b) 10 (c) 56 (d) 30
  21. 21.If 7x + 26 = 103, what is x? (a) 10 (b) 12 (c) 11 (d) 77
  22. 22.If 4x + 1 = 2x + 9, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  23. 23.If 4x + 18 = 42, what is x? (a) 15 (b) 7 (c) 24 (d) 6
  24. 24.If 5x + 19 = 4x + 23, what is x? (a) 4 (b) 5 (c) 6 (d) 42
  25. 25.If 9x − 79 = 2, what is x? (a) 9 (b) 10 (c) 81 (d) 8
  26. 26.If 4x − 5 = 3, what is x? (a) 2 (b) 8 (c) 1 (d) 3
  27. 27.If 6x + 12 = 78, what is x? (a) 66 (b) 11 (c) 12 (d) 15
  28. 28.If 9x + 9 = 54, what is x? (a) 45 (b) 6 (c) 7 (d) 5
  29. 29.If x/6 + 15 = 26, what is x? (a) 66 (b) 11 (c) 246 (d) 141
  30. 30.If 9x + 2 = 7x + 12, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  31. 31.If 3x − 2 = 25, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  32. 32.If 5x − 64 = 1, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  33. 33.If 3x + 14 = 2x + 17, what is x? (a) 3 (b) 5 (c) 4 (d) 31
  34. 34.If 3x + 19 = x + 39, what is x? (a) 5 (b) 10 (c) 11 (d) 29
  35. 35.If 6x + 4 = 3x + 31, what is x? (a) 10 (b) 3 (c) 11 (d) 9
  36. 36.If 5x + 30 = 40, what is x? (a) 10 (b) 2 (c) 3 (d) 14
  37. 37.If 4x − 18 = 38, what is x? (a) 14 (b) 15 (c) 56 (d) 5
  38. 38.If 3x + 28 = 73, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  39. 39.If 6x + 12 = 2x + 52, what is x? (a) 11 (b) 5 (c) 16 (d) 10
  40. 40.If 7x + 25 = 102, what is x? (a) 10 (b) 12 (c) 11 (d) 77

Answer key

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

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