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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 186 · 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 x/3 + 9 = 14, what is x? (a) 15 (b) 69 (c) 5 (d) 33
  2. 2.If 7x − 41 = 8, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  3. 3.If x/6 + 12 = 14, what is x? (a) 72 (b) 156 (c) 12 (d) 2
  4. 4.If 9x − 31 = 95, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  5. 5.If x/4 + 1 = 5, what is x? (a) 24 (b) 16 (c) 19 (d) 4
  6. 6.If 7x + 2 = 6x + 12, what is x? (a) 11 (b) 14 (c) 12 (d) 10
  7. 7.If x/2 + 7 = 12, what is x? (a) 38 (b) 17 (c) 10 (d) 5
  8. 8.If x/3 + 13 = 23, what is x? (a) 10 (b) 56 (c) 30 (d) 108
  9. 9.If 4x − 11 = 1, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  10. 10.If x/3 + 6 = 10, what is x? (a) 48 (b) 4 (c) 24 (d) 12
  11. 11.If x/5 + 6 = 13, what is x? (a) 7 (b) 59 (c) 35 (d) 95
  12. 12.If x/2 + 2 = 8, what is x? (a) 20 (b) 6 (c) 12 (d) 14
  13. 13.If 5x + 20 = 2x + 29, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  14. 14.If 8x + 24 = 104, what is x? (a) 16 (b) 80 (c) 11 (d) 10
  15. 15.If x/3 + 14 = 24, what is x? (a) 58 (b) 10 (c) 30 (d) 114
  16. 16.If x/4 + 7 = 11, what is x? (a) 4 (b) 72 (c) 16 (d) 37
  17. 17.If 4x − 2 = 14, what is x? (a) 5 (b) 3 (c) 4 (d) 16
  18. 18.If 4x + 8 = 40, what is x? (a) 12 (b) 8 (c) 9 (d) 32
  19. 19.If 2x + 13 = 37, what is x? (a) 13 (b) 24 (c) 12 (d) 25
  20. 20.If 5x + 20 = 85, what is x? (a) 14 (b) 65 (c) 13 (d) 21
  21. 21.If 9x − 70 = 2, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  22. 22.If 5x − 1 = 9, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  23. 23.If 7x − 66 = 25, what is x? (a) 13 (b) 91 (c) 12 (d) 14
  24. 24.If 3x + 19 = x + 21, what is x? (a) 1 (b) 2 (c) 20 (d) 3
  25. 25.If 8x + 21 = 117, what is x? (a) 13 (b) 12 (c) 11 (d) 96
  26. 26.If x/6 + 8 = 19, what is x? (a) 11 (b) 66 (c) 106 (d) 162
  27. 27.If 3x − 16 = 2, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  28. 28.If x/3 + 9 = 19, what is x? (a) 30 (b) 10 (c) 48 (d) 84
  29. 29.If 7x + 12 = 3x + 44, what is x? (a) 14 (b) 8 (c) 9 (d) 10
  30. 30.If x/5 + 8 = 13, what is x? (a) 105 (b) 5 (c) 57 (d) 25
  31. 31.If 9x + 20 = 119, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  32. 32.If 3x − 20 = 10, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  33. 33.If x/3 + 5 = 15, what is x? (a) 60 (b) 40 (c) 10 (d) 30
  34. 34.If x/5 + 5 = 7, what is x? (a) 10 (b) 60 (c) 30 (d) 2
  35. 35.If 8x + 6 = 38, what is x? (a) 3 (b) 5 (c) 4 (d) 32
  36. 36.If 2x + 10 = 34, what is x? (a) 22 (b) 13 (c) 12 (d) 24
  37. 37.If x/3 + 2 = 10, what is x? (a) 28 (b) 8 (c) 36 (d) 24
  38. 38.If 6x − 8 = 22, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  39. 39.If 3x + 20 = x + 34, what is x? (a) 9 (b) 27 (c) 7 (d) 8
  40. 40.If 8x − 60 = 28, what is x? (a) 88 (b) 12 (c) 11 (d) 10

Answer key

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

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