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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 98 · 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 9x − 78 = 48, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  2. 2.If 7x + 2 = 93, what is x? (a) 91 (b) 14 (c) 13 (d) 12
  3. 3.If 4x + 11 = 3x + 21, what is x? (a) 32 (b) 12 (c) 11 (d) 10
  4. 4.If 4x + 2 = x + 26, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  5. 5.If 6x + 3 = 3x + 30, what is x? (a) 11 (b) 9 (c) 3 (d) 10
  6. 6.If 6x + 15 = 105, what is x? (a) 16 (b) 90 (c) 15 (d) 20
  7. 7.If 6x + 3 = 51, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  8. 8.If 3x + 3 = 18, what is x? (a) 15 (b) 6 (c) 7 (d) 5
  9. 9.If x/3 + 6 = 13, what is x? (a) 7 (b) 33 (c) 21 (d) 57
  10. 10.If x/5 + 8 = 10, what is x? (a) 10 (b) 42 (c) 90 (d) 2
  11. 11.If 8x + 15 = 7x + 26, what is x? (a) 13 (b) 41 (c) 12 (d) 11
  12. 12.If 5x + 11 = 76, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  13. 13.If 9x + 18 = 72, what is x? (a) 6 (b) 7 (c) 54 (d) 10
  14. 14.If 2x + 1 = 19, what is x? (a) 8 (b) 9 (c) 18 (d) 10
  15. 15.If 3x − 2 = 7, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  16. 16.If 5x + 8 = 2x + 44, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  17. 17.If 6x − 10 = 2, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  18. 18.If x/6 + 2 = 12, what is x? (a) 84 (b) 70 (c) 10 (d) 60
  19. 19.If 7x − 51 = 33, what is x? (a) 84 (b) 11 (c) 12 (d) 13
  20. 20.If 6x − 30 = 18, what is x? (a) 7 (b) 9 (c) 48 (d) 8
  21. 21.If 8x + 10 = 98, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  22. 22.If x/5 + 11 = 15, what is x? (a) 4 (b) 130 (c) 20 (d) 64
  23. 23.If 3x − 11 = 1, what is x? (a) 4 (b) 3 (c) 12 (d) 5
  24. 24.If 9x + 25 = 43, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  25. 25.If x/6 + 15 = 25, what is x? (a) 240 (b) 135 (c) 10 (d) 60
  26. 26.If 3x − 7 = 20, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  27. 27.If x/3 + 10 = 17, what is x? (a) 81 (b) 21 (c) 7 (d) 41
  28. 28.If 8x + 2 = 42, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  29. 29.If 6x − 23 = 7, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  30. 30.If x/2 + 2 = 12, what is x? (a) 22 (b) 20 (c) 10 (d) 28
  31. 31.If 2x + 11 = 29, what is x? (a) 20 (b) 9 (c) 18 (d) 10
  32. 32.If 6x − 9 = 3, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  33. 33.If 9x + 15 = 114, what is x? (a) 99 (b) 11 (c) 10 (d) 12
  34. 34.If x/5 + 8 = 15, what is x? (a) 67 (b) 7 (c) 35 (d) 115
  35. 35.If 3x + 11 = x + 13, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  36. 36.If x/3 + 13 = 19, what is x? (a) 96 (b) 44 (c) 18 (d) 6
  37. 37.If 7x + 16 = 121, what is x? (a) 16 (b) 15 (c) 14 (d) 105
  38. 38.If 6x − 61 = 5, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  39. 39.If x/6 + 14 = 16, what is x? (a) 82 (b) 2 (c) 180 (d) 12
  40. 40.If 4x + 28 = 88, what is x? (a) 15 (b) 16 (c) 60 (d) 29

Answer key

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

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