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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 679 · 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 5x + 28 = 68, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  2. 2.If x/3 + 4 = 14, what is x? (a) 54 (b) 10 (c) 38 (d) 30
  3. 3.If x/6 + 5 = 17, what is x? (a) 132 (b) 72 (c) 12 (d) 97
  4. 4.If 6x − 73 = 11, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  5. 5.If x/6 + 1 = 3, what is x? (a) 24 (b) 2 (c) 12 (d) 17
  6. 6.If 2x − 2 = 8, what is x? (a) 5 (b) 10 (c) 6 (d) 3
  7. 7.If 6x + 22 = 76, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  8. 8.If 6x − 69 = 9, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  9. 9.If 3x + 19 = 2x + 26, what is x? (a) 45 (b) 8 (c) 9 (d) 7
  10. 10.If 7x − 5 = 30, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  11. 11.If 3x − 1 = 41, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  12. 12.If 3x + 1 = x + 3, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  13. 13.If 3x + 8 = 44, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  14. 14.If x/5 + 8 = 18, what is x? (a) 130 (b) 50 (c) 10 (d) 82
  15. 15.If 6x + 4 = 22, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  16. 16.If 5x + 9 = 54, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  17. 17.If 7x − 69 = 1, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  18. 18.If 4x + 13 = 37, what is x? (a) 7 (b) 24 (c) 6 (d) 5
  19. 19.If x/3 + 9 = 21, what is x? (a) 36 (b) 54 (c) 12 (d) 90
  20. 20.If x/5 + 11 = 15, what is x? (a) 130 (b) 4 (c) 64 (d) 20
  21. 21.If 6x + 21 = 87, what is x? (a) 18 (b) 66 (c) 11 (d) 12
  22. 22.If 6x + 15 = 69, what is x? (a) 9 (b) 14 (c) 10 (d) 54
  23. 23.If x/2 + 8 = 15, what is x? (a) 22 (b) 7 (c) 14 (d) 46
  24. 24.If 3x + 25 = 67, what is x? (a) 14 (b) 42 (c) 15 (d) 13
  25. 25.If 9x + 7 = x + 103, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  26. 26.If x/6 + 3 = 9, what is x? (a) 6 (b) 51 (c) 36 (d) 72
  27. 27.If 4x − 40 = 12, what is x? (a) 14 (b) 12 (c) 52 (d) 13
  28. 28.If 6x − 21 = 15, what is x? (a) 7 (b) 36 (c) 5 (d) 6
  29. 29.If 7x − 1 = 34, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  30. 30.If 2x + 9 = 23, what is x? (a) 16 (b) 14 (c) 7 (d) 8
  31. 31.If 3x + 5 = 26, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  32. 32.If 6x − 15 = 3, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  33. 33.If 5x − 5 = 10, what is x? (a) 4 (b) 1 (c) 15 (d) 3
  34. 34.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  35. 35.If x/2 + 10 = 15, what is x? (a) 10 (b) 20 (c) 5 (d) 50
  36. 36.If 8x − 84 = 36, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  37. 37.If 9x + 4 = 6x + 10, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  38. 38.If 6x + 23 = 71, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  39. 39.If 5x + 4 = 34, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  40. 40.If 9x + 18 = 126, what is x? (a) 13 (b) 12 (c) 16 (d) 108

Answer key

  1. 8
  2. 30
  3. 72
  4. 14
  5. 12
  6. 5
  7. 9
  8. 13
  9. 7
  10. 5
  11. 14
  12. 1
  13. 12
  14. 50
  15. 3
  16. 9
  17. 10
  18. 6
  19. 36
  20. 20
  21. 11
  22. 9
  23. 14
  24. 14
  25. 12
  26. 36
  27. 13
  28. 6
  29. 5
  30. 7
  31. 7
  32. 3
  33. 3
  34. 2
  35. 10
  36. 15
  37. 2
  38. 8
  39. 6
  40. 12

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