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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 774 · 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 − 18 = 99, what is x? (a) 9 (b) 13 (c) 14 (d) 117
  2. 2.If 8x − 25 = 23, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  3. 3.If x/2 + 15 = 26, what is x? (a) 22 (b) 11 (c) 82 (d) 37
  4. 4.If x/3 + 11 = 23, what is x? (a) 102 (b) 36 (c) 58 (d) 12
  5. 5.If 9x + 12 = 111, what is x? (a) 12 (b) 99 (c) 10 (d) 11
  6. 6.If 9x − 6 = 75, what is x? (a) 10 (b) 8 (c) 81 (d) 9
  7. 7.If 5x + 13 = x + 57, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  8. 8.If x/4 + 2 = 8, what is x? (a) 24 (b) 6 (c) 30 (d) 40
  9. 9.If 5x + 21 = 31, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  10. 10.If 9x + 7 = 97, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  11. 11.If x/6 + 12 = 22, what is x? (a) 204 (b) 10 (c) 60 (d) 120
  12. 12.If 8x − 1 = 63, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  13. 13.If 8x − 12 = 28, what is x? (a) 40 (b) 5 (c) 2 (d) 6
  14. 14.If x/2 + 11 = 20, what is x? (a) 62 (b) 9 (c) 29 (d) 18
  15. 15.If 3x + 18 = 24, what is x? (a) 6 (b) 3 (c) 2 (d) 14
  16. 16.If 9x + 18 = 126, what is x? (a) 13 (b) 16 (c) 108 (d) 12
  17. 17.If 4x − 27 = 1, what is x? (a) 7 (b) 6 (c) 8 (d) 28
  18. 18.If x/6 + 2 = 7, what is x? (a) 5 (b) 54 (c) 40 (d) 30
  19. 19.If 9x + 6 = 6x + 9, what is x? (a) 1 (b) 3 (c) 2 (d) 5
  20. 20.If 7x + 18 = 46, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  21. 21.If x/4 + 12 = 14, what is x? (a) 8 (b) 104 (c) 44 (d) 2
  22. 22.If x/2 + 15 = 23, what is x? (a) 16 (b) 8 (c) 76 (d) 31
  23. 23.If 7x − 9 = 82, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  24. 24.If 9x + 7 = 7x + 17, what is x? (a) 6 (b) 12 (c) 5 (d) 7
  25. 25.If 9x + 18 = 135, what is x? (a) 117 (b) 13 (c) 14 (d) 17
  26. 26.If x/5 + 6 = 18, what is x? (a) 120 (b) 12 (c) 84 (d) 60
  27. 27.If x/2 + 11 = 16, what is x? (a) 21 (b) 54 (c) 10 (d) 5
  28. 28.If 8x + 20 = x + 97, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.If 4x + 9 = 3x + 14, what is x? (a) 6 (b) 23 (c) 5 (d) 7
  30. 30.If 3x + 17 = x + 37, what is x? (a) 5 (b) 27 (c) 10 (d) 11
  31. 31.If 6x − 11 = 19, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  32. 32.If 2x − 9 = 9, what is x? (a) 8 (b) 18 (c) 9 (d) 10
  33. 33.If 6x − 62 = 10, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  34. 34.If x/6 + 2 = 9, what is x? (a) 66 (b) 7 (c) 42 (d) 52
  35. 35.If 7x − 5 = 51, what is x? (a) 8 (b) 9 (c) 56 (d) 7
  36. 36.If 9x − 103 = 5, what is x? (a) 12 (b) 108 (c) 13 (d) 11
  37. 37.If 7x + 9 = 93, what is x? (a) 11 (b) 84 (c) 13 (d) 12
  38. 38.If x/5 + 14 = 16, what is x? (a) 66 (b) 150 (c) 10 (d) 2
  39. 39.If x/3 + 2 = 14, what is x? (a) 12 (b) 48 (c) 40 (d) 36
  40. 40.If x/6 + 1 = 9, what is x? (a) 60 (b) 53 (c) 48 (d) 8

Answer key

  1. 13
  2. 6
  3. 22
  4. 36
  5. 11
  6. 9
  7. 11
  8. 24
  9. 2
  10. 10
  11. 60
  12. 8
  13. 5
  14. 18
  15. 2
  16. 12
  17. 7
  18. 30
  19. 1
  20. 4
  21. 8
  22. 16
  23. 13
  24. 5
  25. 13
  26. 60
  27. 10
  28. 11
  29. 5
  30. 10
  31. 5
  32. 9
  33. 12
  34. 42
  35. 8
  36. 12
  37. 12
  38. 10
  39. 36
  40. 48

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