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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 100 · 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 + 20 = x + 53, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  2. 2.If 4x + 2 = 18, what is x? (a) 3 (b) 4 (c) 5 (d) 16
  3. 3.If 5x − 4 = 11, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  4. 4.If 8x − 41 = 47, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  5. 5.If 2x + 4 = 10, what is x? (a) 6 (b) 3 (c) 7 (d) 4
  6. 6.If 6x + 1 = 2x + 41, what is x? (a) 10 (b) 12 (c) 5 (d) 11
  7. 7.If x/2 + 13 = 25, what is x? (a) 37 (b) 24 (c) 12 (d) 76
  8. 8.If 5x + 11 = 4x + 14, what is x? (a) 25 (b) 3 (c) 5 (d) 4
  9. 9.If 4x + 10 = 62, what is x? (a) 18 (b) 13 (c) 14 (d) 52
  10. 10.If 5x − 42 = 13, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  11. 11.If 5x + 25 = 90, what is x? (a) 14 (b) 13 (c) 23 (d) 65
  12. 12.If x/6 + 2 = 12, what is x? (a) 84 (b) 10 (c) 60 (d) 70
  13. 13.If x/4 + 3 = 14, what is x? (a) 53 (b) 44 (c) 68 (d) 11
  14. 14.If 3x + 3 = 45, what is x? (a) 14 (b) 42 (c) 16 (d) 15
  15. 15.If 7x + 23 = 114, what is x? (a) 13 (b) 14 (c) 12 (d) 91
  16. 16.If 2x + 7 = 29, what is x? (a) 12 (b) 22 (c) 11 (d) 18
  17. 17.If 4x − 19 = 13, what is x? (a) 8 (b) 7 (c) 9 (d) 32
  18. 18.If 5x + 16 = 3x + 38, what is x? (a) 11 (b) 12 (c) 27 (d) 13
  19. 19.If x/3 + 11 = 22, what is x? (a) 55 (b) 33 (c) 11 (d) 99
  20. 20.If 6x + 10 = 76, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  21. 21.If 3x + 7 = x + 13, what is x? (a) 4 (b) 5 (c) 3 (d) 10
  22. 22.If x/4 + 5 = 12, what is x? (a) 43 (b) 28 (c) 7 (d) 68
  23. 23.If 3x + 18 = 48, what is x? (a) 11 (b) 22 (c) 30 (d) 10
  24. 24.If 9x − 46 = 80, what is x? (a) 126 (b) 14 (c) 13 (d) 15
  25. 25.If 4x + 9 = 45, what is x? (a) 36 (b) 9 (c) 10 (d) 8
  26. 26.If 3x + 22 = 31, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  27. 27.If 3x − 1 = 5, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  28. 28.If 8x + 7 = 127, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  29. 29.If 4x + 18 = 3x + 28, what is x? (a) 12 (b) 46 (c) 10 (d) 11
  30. 30.If x/5 + 15 = 21, what is x? (a) 90 (b) 180 (c) 30 (d) 6
  31. 31.If 3x + 6 = 18, what is x? (a) 4 (b) 5 (c) 12 (d) 8
  32. 32.If x/2 + 10 = 22, what is x? (a) 64 (b) 24 (c) 34 (d) 12
  33. 33.If 5x + 12 = x + 24, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  34. 34.If 7x + 27 = 69, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  35. 35.If 9x + 29 = 155, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  36. 36.If 7x + 16 = 30, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  37. 37.If 4x − 9 = 27, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  38. 38.If 7x + 10 = 87, what is x? (a) 10 (b) 11 (c) 12 (d) 77
  39. 39.If 4x + 6 = 3x + 16, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  40. 40.If x/2 + 8 = 17, what is x? (a) 50 (b) 18 (c) 9 (d) 26

Answer key

  1. 11
  2. 4
  3. 3
  4. 11
  5. 3
  6. 10
  7. 24
  8. 3
  9. 13
  10. 11
  11. 13
  12. 60
  13. 44
  14. 14
  15. 13
  16. 11
  17. 8
  18. 11
  19. 33
  20. 11
  21. 3
  22. 28
  23. 10
  24. 14
  25. 9
  26. 3
  27. 2
  28. 15
  29. 10
  30. 30
  31. 4
  32. 24
  33. 3
  34. 6
  35. 14
  36. 2
  37. 9
  38. 11
  39. 10
  40. 18

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