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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 413 · 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 4x + 12 = x + 15, what is x? (a) 2 (b) 9 (c) 1 (d) 3
  2. 2.If x/3 + 11 = 22, what is x? (a) 33 (b) 55 (c) 99 (d) 11
  3. 3.If x/4 + 12 = 22, what is x? (a) 10 (b) 136 (c) 76 (d) 40
  4. 4.If 7x + 27 = 111, what is x? (a) 13 (b) 11 (c) 84 (d) 12
  5. 5.If x/2 + 2 = 12, what is x? (a) 20 (b) 10 (c) 22 (d) 28
  6. 6.If x/5 + 4 = 7, what is x? (a) 31 (b) 55 (c) 15 (d) 3
  7. 7.If x/6 + 14 = 25, what is x? (a) 66 (b) 11 (c) 234 (d) 136
  8. 8.If 4x + 3 = x + 21, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  9. 9.If 2x + 24 = 48, what is x? (a) 12 (b) 24 (c) 36 (d) 13
  10. 10.If 5x + 7 = 82, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  11. 11.If x/5 + 8 = 15, what is x? (a) 35 (b) 7 (c) 115 (d) 67
  12. 12.If x/4 + 6 = 13, what is x? (a) 46 (b) 28 (c) 76 (d) 7
  13. 13.If x/3 + 2 = 4, what is x? (a) 18 (b) 6 (c) 2 (d) 10
  14. 14.If 5x − 38 = 7, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  15. 15.If 7x + 1 = 5x + 13, what is x? (a) 8 (b) 7 (c) 1 (d) 6
  16. 16.If 6x + 17 = 83, what is x? (a) 11 (b) 66 (c) 12 (d) 10
  17. 17.If 7x + 17 = x + 65, what is x? (a) 6 (b) 10 (c) 9 (d) 8
  18. 18.If x/5 + 1 = 12, what is x? (a) 59 (b) 55 (c) 65 (d) 11
  19. 19.If x/6 + 10 = 16, what is x? (a) 6 (b) 156 (c) 86 (d) 36
  20. 20.If 9x + 30 = 93, what is x? (a) 7 (b) 63 (c) 8 (d) 6
  21. 21.If x/3 + 2 = 11, what is x? (a) 39 (b) 9 (c) 27 (d) 31
  22. 22.If 9x − 3 = 132, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  23. 23.If 6x − 3 = 9, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  24. 24.If 6x + 8 = x + 68, what is x? (a) 11 (b) 14 (c) 13 (d) 12
  25. 25.If 8x + 19 = 7x + 29, what is x? (a) 12 (b) 48 (c) 11 (d) 10
  26. 26.If 3x − 1 = 38, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  27. 27.If 3x − 28 = 8, what is x? (a) 11 (b) 36 (c) 13 (d) 12
  28. 28.If 2x + 20 = 48, what is x? (a) 15 (b) 14 (c) 28 (d) 34
  29. 29.If x/6 + 2 = 12, what is x? (a) 70 (b) 84 (c) 10 (d) 60
  30. 30.If 4x + 27 = 67, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  31. 31.If 3x + 3 = 2x + 14, what is x? (a) 11 (b) 12 (c) 13 (d) 17
  32. 32.If 7x + 4 = 6x + 11, what is x? (a) 7 (b) 8 (c) 9 (d) 15
  33. 33.If 6x + 26 = 110, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  34. 34.If x/3 + 14 = 26, what is x? (a) 12 (b) 120 (c) 64 (d) 36
  35. 35.If 7x + 6 = 6x + 7, what is x? (a) 13 (b) 3 (c) 1 (d) 2
  36. 36.If 8x + 23 = 119, what is x? (a) 12 (b) 96 (c) 11 (d) 13
  37. 37.If 3x − 15 = 21, what is x? (a) 13 (b) 2 (c) 36 (d) 12
  38. 38.If 3x + 4 = 2x + 5, what is x? (a) 2 (b) 9 (c) 3 (d) 1
  39. 39.If 3x − 7 = 26, what is x? (a) 11 (b) 12 (c) 33 (d) 10
  40. 40.If 6x + 14 = 4x + 18, what is x? (a) 3 (b) 2 (c) 4 (d) 16

Answer key

  1. 1
  2. 33
  3. 40
  4. 12
  5. 20
  6. 15
  7. 66
  8. 6
  9. 12
  10. 15
  11. 35
  12. 28
  13. 6
  14. 9
  15. 6
  16. 11
  17. 8
  18. 55
  19. 36
  20. 7
  21. 27
  22. 15
  23. 2
  24. 12
  25. 10
  26. 13
  27. 12
  28. 14
  29. 60
  30. 10
  31. 11
  32. 7
  33. 14
  34. 36
  35. 1
  36. 12
  37. 12
  38. 1
  39. 11
  40. 2

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