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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 395 · 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 + 26 = 116, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  2. 2.If 6x − 53 = 19, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  3. 3.If 9x − 7 = 92, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  4. 4.If 9x − 50 = 67, what is x? (a) 14 (b) 12 (c) 13 (d) 117
  5. 5.If 6x + 10 = 5x + 22, what is x? (a) 13 (b) 14 (c) 32 (d) 12
  6. 6.If 6x − 32 = 22, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  7. 7.If x/4 + 7 = 12, what is x? (a) 41 (b) 76 (c) 20 (d) 5
  8. 8.If x/3 + 8 = 17, what is x? (a) 9 (b) 75 (c) 43 (d) 27
  9. 9.If 7x + 28 = 105, what is x? (a) 77 (b) 11 (c) 19 (d) 12
  10. 10.If 2x − 22 = 8, what is x? (a) 14 (b) 30 (c) 15 (d) 16
  11. 11.If 3x + 11 = 38, what is x? (a) 9 (b) 27 (c) 10 (d) 8
  12. 12.If 8x − 5 = 59, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  13. 13.If 2x + 3 = 27, what is x? (a) 13 (b) 24 (c) 15 (d) 12
  14. 14.If 8x − 11 = 37, what is x? (a) 6 (b) 7 (c) 5 (d) 48
  15. 15.If 8x + 7 = x + 14, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  16. 16.If 3x + 4 = 2x + 14, what is x? (a) 18 (b) 2 (c) 11 (d) 10
  17. 17.If 3x − 13 = 2, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  18. 18.If 8x + 5 = 2x + 65, what is x? (a) 6 (b) 11 (c) 10 (d) 12
  19. 19.If 2x − 1 = 7, what is x? (a) 4 (b) 8 (c) 5 (d) 3
  20. 20.If x/5 + 9 = 12, what is x? (a) 15 (b) 51 (c) 3 (d) 105
  21. 21.If 3x + 15 = 36, what is x? (a) 8 (b) 21 (c) 17 (d) 7
  22. 22.If x/4 + 8 = 17, what is x? (a) 100 (b) 60 (c) 9 (d) 36
  23. 23.If 5x + 2 = x + 10, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  24. 24.If 4x − 22 = 22, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  25. 25.If x/6 + 4 = 10, what is x? (a) 36 (b) 84 (c) 56 (d) 6
  26. 26.If 8x − 22 = 66, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  27. 27.If x/4 + 11 = 18, what is x? (a) 116 (b) 28 (c) 7 (d) 61
  28. 28.If 6x + 8 = x + 43, what is x? (a) 8 (b) 7 (c) 9 (d) 5
  29. 29.If 7x − 90 = 15, what is x? (a) 16 (b) 15 (c) 105 (d) 14
  30. 30.If 2x − 10 = 20, what is x? (a) 30 (b) 15 (c) 5 (d) 16
  31. 31.If x/6 + 15 = 21, what is x? (a) 111 (b) 36 (c) 216 (d) 6
  32. 32.If 7x + 16 = 2x + 51, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  33. 33.If x/4 + 12 = 22, what is x? (a) 76 (b) 40 (c) 136 (d) 10
  34. 34.If x/5 + 3 = 10, what is x? (a) 7 (b) 65 (c) 47 (d) 35
  35. 35.If x/5 + 13 = 23, what is x? (a) 180 (b) 102 (c) 10 (d) 50
  36. 36.If 8x + 12 = 124, what is x? (a) 14 (b) 15 (c) 17 (d) 112
  37. 37.If x/5 + 12 = 15, what is x? (a) 15 (b) 3 (c) 63 (d) 135
  38. 38.If 6x − 23 = 25, what is x? (a) 8 (b) 9 (c) 48 (d) 7
  39. 39.If 3x + 4 = x + 26, what is x? (a) 12 (b) 15 (c) 13 (d) 11
  40. 40.If 2x + 27 = 47, what is x? (a) 10 (b) 37 (c) 11 (d) 20

Answer key

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

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