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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 117 · 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 3x − 2 = 13, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  2. 2.If 2x − 12 = 12, what is x? (a) 13 (b) 24 (c) 11 (d) 12
  3. 3.If x/2 + 7 = 17, what is x? (a) 10 (b) 27 (c) 20 (d) 48
  4. 4.If x/4 + 9 = 20, what is x? (a) 116 (b) 11 (c) 44 (d) 71
  5. 5.If 4x − 16 = 16, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  6. 6.If 3x + 9 = x + 15, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  7. 7.If 4x + 26 = 42, what is x? (a) 5 (b) 4 (c) 16 (d) 17
  8. 8.If 8x − 88 = 8, what is x? (a) 13 (b) 96 (c) 12 (d) 11
  9. 9.If x/4 + 15 = 19, what is x? (a) 4 (b) 61 (c) 136 (d) 16
  10. 10.If 6x + 10 = 100, what is x? (a) 16 (b) 14 (c) 15 (d) 90
  11. 11.If 7x − 30 = 26, what is x? (a) 9 (b) 8 (c) 7 (d) 56
  12. 12.If 3x − 12 = 15, what is x? (a) 10 (b) 1 (c) 9 (d) 27
  13. 13.If 4x + 26 = 34, what is x? (a) 3 (b) 2 (c) 15 (d) 8
  14. 14.If 3x − 2 = 28, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  15. 15.If x/2 + 13 = 19, what is x? (a) 25 (b) 6 (c) 64 (d) 12
  16. 16.If x/3 + 13 = 20, what is x? (a) 99 (b) 21 (c) 7 (d) 47
  17. 17.If 3x + 6 = 18, what is x? (a) 8 (b) 4 (c) 12 (d) 5
  18. 18.If 4x + 8 = 60, what is x? (a) 52 (b) 14 (c) 17 (d) 13
  19. 19.If 3x + 23 = 38, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  20. 20.If x/6 + 1 = 9, what is x? (a) 53 (b) 60 (c) 8 (d) 48
  21. 21.If 5x + 17 = 3x + 25, what is x? (a) 1 (b) 21 (c) 5 (d) 4
  22. 22.If x/3 + 13 = 19, what is x? (a) 18 (b) 6 (c) 96 (d) 44
  23. 23.If 2x + 1 = 17, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  24. 24.If 3x + 12 = 2x + 15, what is x? (a) 4 (b) 5 (c) 3 (d) 27
  25. 25.If 4x + 12 = 3x + 18, what is x? (a) 8 (b) 7 (c) 30 (d) 6
  26. 26.If 3x + 25 = 37, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  27. 27.If x/3 + 9 = 14, what is x? (a) 15 (b) 33 (c) 5 (d) 69
  28. 28.If 8x + 11 = 7x + 14, what is x? (a) 5 (b) 25 (c) 3 (d) 4
  29. 29.If x/6 + 5 = 9, what is x? (a) 4 (b) 24 (c) 49 (d) 84
  30. 30.If 4x + 17 = x + 26, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  31. 31.If x/5 + 1 = 8, what is x? (a) 7 (b) 35 (c) 39 (d) 45
  32. 32.If x/5 + 4 = 9, what is x? (a) 5 (b) 41 (c) 65 (d) 25
  33. 33.If 9x + 26 = 89, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  34. 34.If 6x − 1 = 65, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  35. 35.If 5x + 1 = 26, what is x? (a) 5 (b) 25 (c) 4 (d) 6
  36. 36.If 3x − 12 = 33, what is x? (a) 45 (b) 15 (c) 7 (d) 16
  37. 37.If 2x − 1 = 3, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  38. 38.If x/6 + 2 = 10, what is x? (a) 8 (b) 58 (c) 48 (d) 72
  39. 39.If 7x + 29 = 127, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  40. 40.If 7x + 19 = 40, what is x? (a) 3 (b) 21 (c) 4 (d) 2

Answer key

  1. 5
  2. 12
  3. 20
  4. 44
  5. 8
  6. 3
  7. 4
  8. 12
  9. 16
  10. 15
  11. 8
  12. 9
  13. 2
  14. 10
  15. 12
  16. 21
  17. 4
  18. 13
  19. 5
  20. 48
  21. 4
  22. 18
  23. 8
  24. 3
  25. 6
  26. 4
  27. 15
  28. 3
  29. 24
  30. 3
  31. 35
  32. 25
  33. 7
  34. 11
  35. 5
  36. 15
  37. 2
  38. 48
  39. 14
  40. 3

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