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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 427 · 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 6x + 15 = 81, what is x? (a) 16 (b) 12 (c) 66 (d) 11
  2. 2.If 9x + 14 = 2x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 5
  3. 3.If 7x + 1 = x + 13, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  4. 4.If x/6 + 3 = 15, what is x? (a) 87 (b) 12 (c) 108 (d) 72
  5. 5.If x/6 + 2 = 6, what is x? (a) 34 (b) 24 (c) 4 (d) 48
  6. 6.If 6x + 16 = 2x + 40, what is x? (a) 14 (b) 7 (c) 3 (d) 6
  7. 7.If x/3 + 11 = 14, what is x? (a) 75 (b) 31 (c) 3 (d) 9
  8. 8.If x/2 + 4 = 8, what is x? (a) 12 (b) 24 (c) 4 (d) 8
  9. 9.If 8x + 14 = 2x + 38, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  10. 10.If 3x + 8 = 14, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  11. 11.If x/4 + 12 = 18, what is x? (a) 24 (b) 6 (c) 120 (d) 60
  12. 12.If 7x + 12 = 82, what is x? (a) 70 (b) 11 (c) 10 (d) 9
  13. 13.If x/6 + 15 = 17, what is x? (a) 87 (b) 12 (c) 2 (d) 192
  14. 14.If 4x − 45 = 15, what is x? (a) 16 (b) 14 (c) 15 (d) 60
  15. 15.If 7x + 21 = 49, what is x? (a) 28 (b) 4 (c) 10 (d) 5
  16. 16.If 7x + 2 = 5x + 6, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  17. 17.If 6x + 12 = 2x + 36, what is x? (a) 3 (b) 12 (c) 6 (d) 7
  18. 18.If 6x + 18 = 3x + 54, what is x? (a) 13 (b) 4 (c) 12 (d) 24
  19. 19.If 3x − 4 = 5, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  20. 20.If x/5 + 4 = 10, what is x? (a) 70 (b) 46 (c) 30 (d) 6
  21. 21.If 9x − 89 = 10, what is x? (a) 10 (b) 12 (c) 99 (d) 11
  22. 22.If 4x + 2 = 38, what is x? (a) 36 (b) 9 (c) 8 (d) 10
  23. 23.If 7x + 26 = 117, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  24. 24.If 8x − 53 = 11, what is x? (a) 9 (b) 7 (c) 64 (d) 8
  25. 25.If 2x + 4 = 22, what is x? (a) 18 (b) 10 (c) 13 (d) 9
  26. 26.If 7x + 16 = 3x + 32, what is x? (a) 4 (b) 5 (c) 12 (d) 6
  27. 27.If x/5 + 14 = 20, what is x? (a) 86 (b) 170 (c) 30 (d) 6
  28. 28.If x/2 + 5 = 10, what is x? (a) 5 (b) 30 (c) 15 (d) 10
  29. 29.If x/3 + 4 = 10, what is x? (a) 18 (b) 42 (c) 6 (d) 26
  30. 30.If 9x + 20 = 5x + 68, what is x? (a) 12 (b) 13 (c) 22 (d) 14
  31. 31.If x/5 + 11 = 19, what is x? (a) 84 (b) 40 (c) 8 (d) 150
  32. 32.If x/6 + 8 = 14, what is x? (a) 76 (b) 6 (c) 36 (d) 132
  33. 33.If 7x − 4 = 10, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  34. 34.If 8x + 13 = 3x + 38, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  35. 35.If 7x − 8 = 6, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  36. 36.If x/3 + 11 = 23, what is x? (a) 36 (b) 102 (c) 12 (d) 58
  37. 37.If x/6 + 8 = 19, what is x? (a) 11 (b) 106 (c) 66 (d) 162
  38. 38.If 6x + 27 = 57, what is x? (a) 30 (b) 14 (c) 5 (d) 6
  39. 39.If x/4 + 6 = 14, what is x? (a) 80 (b) 32 (c) 8 (d) 50
  40. 40.If 6x − 1 = 17, what is x? (a) 4 (b) 3 (c) 2 (d) 18

Answer key

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

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