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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 511 · 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/2 + 11 = 13, what is x? (a) 48 (b) 15 (c) 2 (d) 4
  2. 2.If 6x − 61 = 11, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  3. 3.If x/3 + 11 = 17, what is x? (a) 6 (b) 40 (c) 18 (d) 84
  4. 4.If x/4 + 1 = 3, what is x? (a) 8 (b) 2 (c) 11 (d) 16
  5. 5.If 3x − 10 = 2, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  6. 6.If 5x − 51 = 19, what is x? (a) 15 (b) 70 (c) 14 (d) 13
  7. 7.If 5x − 13 = 42, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  8. 8.If 3x + 11 = x + 17, what is x? (a) 4 (b) 3 (c) 5 (d) 14
  9. 9.If 7x + 13 = 27, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  10. 10.If x/4 + 14 = 19, what is x? (a) 62 (b) 5 (c) 132 (d) 20
  11. 11.If 3x + 8 = 17, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  12. 12.If 8x − 13 = 59, what is x? (a) 8 (b) 10 (c) 9 (d) 72
  13. 13.If 6x − 40 = 50, what is x? (a) 90 (b) 14 (c) 16 (d) 15
  14. 14.If 5x − 22 = 33, what is x? (a) 55 (b) 10 (c) 11 (d) 12
  15. 15.If 6x + 8 = 74, what is x? (a) 12 (b) 66 (c) 11 (d) 10
  16. 16.If x/5 + 13 = 22, what is x? (a) 97 (b) 45 (c) 175 (d) 9
  17. 17.If 4x + 8 = 2x + 32, what is x? (a) 12 (b) 4 (c) 20 (d) 13
  18. 18.If 9x + 2 = 2x + 23, what is x? (a) 3 (b) 2 (c) 4 (d) 5
  19. 19.If x/5 + 7 = 19, what is x? (a) 130 (b) 88 (c) 12 (d) 60
  20. 20.If x/3 + 5 = 8, what is x? (a) 3 (b) 39 (c) 19 (d) 9
  21. 21.If x/3 + 5 = 17, what is x? (a) 36 (b) 46 (c) 12 (d) 66
  22. 22.If 8x − 7 = 65, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  23. 23.If 5x + 25 = 40, what is x? (a) 4 (b) 13 (c) 15 (d) 3
  24. 24.If 4x + 25 = 53, what is x? (a) 28 (b) 8 (c) 7 (d) 6
  25. 25.If 9x − 8 = 19, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  26. 26.If 5x + 8 = 4x + 19, what is x? (a) 27 (b) 13 (c) 11 (d) 12
  27. 27.If 9x + 15 = 141, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  28. 28.If x/5 + 6 = 13, what is x? (a) 95 (b) 59 (c) 7 (d) 35
  29. 29.If 3x + 12 = 51, what is x? (a) 39 (b) 14 (c) 13 (d) 21
  30. 30.If 2x + 14 = 40, what is x? (a) 26 (b) 13 (c) 27 (d) 14
  31. 31.If 8x + 27 = 75, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  32. 32.If x/3 + 4 = 16, what is x? (a) 60 (b) 12 (c) 44 (d) 36
  33. 33.If 7x + 2 = 4x + 17, what is x? (a) 7 (b) 5 (c) 4 (d) 6
  34. 34.If x/2 + 5 = 7, what is x? (a) 9 (b) 2 (c) 4 (d) 24
  35. 35.If x/3 + 14 = 18, what is x? (a) 40 (b) 96 (c) 12 (d) 4
  36. 36.If 5x + 5 = 2x + 20, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  37. 37.If 8x − 33 = 23, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  38. 38.If x/6 + 13 = 17, what is x? (a) 89 (b) 180 (c) 24 (d) 4
  39. 39.If 9x + 1 = 109, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  40. 40.If 4x + 14 = 70, what is x? (a) 14 (b) 21 (c) 56 (d) 15

Answer key

  1. 4
  2. 12
  3. 18
  4. 8
  5. 4
  6. 14
  7. 11
  8. 3
  9. 2
  10. 20
  11. 3
  12. 9
  13. 15
  14. 11
  15. 11
  16. 45
  17. 12
  18. 3
  19. 60
  20. 9
  21. 36
  22. 9
  23. 3
  24. 7
  25. 3
  26. 11
  27. 14
  28. 35
  29. 13
  30. 13
  31. 6
  32. 36
  33. 5
  34. 4
  35. 12
  36. 5
  37. 7
  38. 24
  39. 12
  40. 14

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