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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 725 · 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 − 2 = 10, what is x? (a) 3 (b) 2 (c) 4 (d) 12
  2. 2.If x/4 + 2 = 6, what is x? (a) 16 (b) 4 (c) 22 (d) 32
  3. 3.If 4x + 18 = x + 48, what is x? (a) 11 (b) 22 (c) 6 (d) 10
  4. 4.If x/6 + 4 = 16, what is x? (a) 12 (b) 92 (c) 72 (d) 120
  5. 5.If x/4 + 5 = 9, what is x? (a) 4 (b) 31 (c) 56 (d) 16
  6. 6.If 7x + 9 = 2x + 14, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  7. 7.If x/2 + 8 = 10, what is x? (a) 2 (b) 12 (c) 36 (d) 4
  8. 8.If 3x + 13 = x + 33, what is x? (a) 5 (b) 11 (c) 10 (d) 23
  9. 9.If 3x + 6 = x + 8, what is x? (a) 1 (b) 2 (c) 3 (d) 7
  10. 10.If 6x − 1 = 83, what is x? (a) 13 (b) 84 (c) 14 (d) 15
  11. 11.If x/5 + 3 = 15, what is x? (a) 60 (b) 72 (c) 12 (d) 90
  12. 12.If 6x − 64 = 20, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  13. 13.If x/3 + 11 = 21, what is x? (a) 10 (b) 52 (c) 96 (d) 30
  14. 14.If 9x − 47 = 70, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  15. 15.If x/5 + 7 = 10, what is x? (a) 85 (b) 3 (c) 43 (d) 15
  16. 16.If x/6 + 13 = 25, what is x? (a) 228 (b) 12 (c) 137 (d) 72
  17. 17.If 9x − 13 = 23, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  18. 18.If 3x + 15 = 45, what is x? (a) 11 (b) 20 (c) 30 (d) 10
  19. 19.If 9x + 3 = 5x + 39, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  20. 20.If 5x + 10 = 30, what is x? (a) 5 (b) 8 (c) 4 (d) 20
  21. 21.If x/5 + 9 = 13, what is x? (a) 110 (b) 4 (c) 20 (d) 56
  22. 22.If x/3 + 9 = 19, what is x? (a) 48 (b) 10 (c) 84 (d) 30
  23. 23.If 6x − 9 = 45, what is x? (a) 9 (b) 54 (c) 6 (d) 10
  24. 24.If 2x + 14 = 42, what is x? (a) 14 (b) 15 (c) 13 (d) 28
  25. 25.If 7x − 39 = 10, what is x? (a) 6 (b) 49 (c) 8 (d) 7
  26. 26.If x/3 + 15 = 19, what is x? (a) 4 (b) 12 (c) 42 (d) 102
  27. 27.If 5x + 2 = x + 6, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  28. 28.If 4x + 4 = 40, what is x? (a) 11 (b) 10 (c) 36 (d) 9
  29. 29.If 9x + 10 = 6x + 16, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  30. 30.If 9x + 7 = 142, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  31. 31.If x/3 + 14 = 24, what is x? (a) 58 (b) 10 (c) 30 (d) 114
  32. 32.If x/5 + 4 = 16, what is x? (a) 12 (b) 76 (c) 60 (d) 100
  33. 33.If 4x + 13 = x + 22, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  34. 34.If 3x + 16 = x + 34, what is x? (a) 10 (b) 9 (c) 11 (d) 25
  35. 35.If x/2 + 12 = 24, what is x? (a) 36 (b) 24 (c) 72 (d) 12
  36. 36.If 3x − 23 = 13, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  37. 37.If 4x + 5 = x + 41, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  38. 38.If 9x + 17 = 107, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  39. 39.If 4x − 11 = 1, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  40. 40.If 3x − 15 = 18, what is x? (a) 12 (b) 11 (c) 1 (d) 33

Answer key

  1. 3
  2. 16
  3. 10
  4. 72
  5. 16
  6. 1
  7. 4
  8. 10
  9. 1
  10. 14
  11. 60
  12. 14
  13. 30
  14. 13
  15. 15
  16. 72
  17. 4
  18. 10
  19. 9
  20. 4
  21. 20
  22. 30
  23. 9
  24. 14
  25. 7
  26. 12
  27. 1
  28. 9
  29. 2
  30. 15
  31. 30
  32. 60
  33. 3
  34. 9
  35. 24
  36. 12
  37. 12
  38. 10
  39. 3
  40. 11

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