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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 542 · 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 8x + 28 = 60, what is x? (a) 11 (b) 4 (c) 32 (d) 5
  2. 2.If 9x + 18 = 8x + 26, what is x? (a) 9 (b) 8 (c) 44 (d) 10
  3. 3.If x/2 + 13 = 18, what is x? (a) 62 (b) 5 (c) 23 (d) 10
  4. 4.If 3x + 15 = x + 35, what is x? (a) 10 (b) 25 (c) 11 (d) 5
  5. 5.If x/4 + 3 = 13, what is x? (a) 64 (b) 40 (c) 10 (d) 49
  6. 6.If 3x + 19 = 31, what is x? (a) 3 (b) 12 (c) 5 (d) 4
  7. 7.If 7x + 20 = 5x + 28, what is x? (a) 5 (b) 6 (c) 24 (d) 4
  8. 8.If 5x − 15 = 40, what is x? (a) 5 (b) 55 (c) 11 (d) 12
  9. 9.If 6x − 19 = 11, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  10. 10.If 4x − 22 = 22, what is x? (a) 10 (b) 44 (c) 11 (d) 12
  11. 11.If x/4 + 10 = 17, what is x? (a) 28 (b) 108 (c) 7 (d) 58
  12. 12.If 3x + 4 = 19, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  13. 13.If 3x − 1 = 35, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  14. 14.If 4x + 4 = 32, what is x? (a) 7 (b) 9 (c) 28 (d) 8
  15. 15.If x/6 + 15 = 25, what is x? (a) 135 (b) 240 (c) 10 (d) 60
  16. 16.If 9x + 6 = 123, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  17. 17.If 7x − 45 = 46, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  18. 18.If 8x + 14 = 7x + 21, what is x? (a) 35 (b) 8 (c) 9 (d) 7
  19. 19.If 5x + 7 = 57, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  20. 20.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.If x/4 + 7 = 15, what is x? (a) 88 (b) 8 (c) 53 (d) 32
  22. 22.If 7x + 29 = 57, what is x? (a) 28 (b) 3 (c) 5 (d) 4
  23. 23.If x/6 + 4 = 6, what is x? (a) 12 (b) 60 (c) 32 (d) 2
  24. 24.If 9x + 8 = 2x + 15, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  25. 25.If x/3 + 2 = 10, what is x? (a) 28 (b) 8 (c) 36 (d) 24
  26. 26.If 6x + 6 = 96, what is x? (a) 16 (b) 15 (c) 17 (d) 90
  27. 27.If 8x + 12 = 52, what is x? (a) 8 (b) 40 (c) 6 (d) 5
  28. 28.If 2x − 2 = 14, what is x? (a) 8 (b) 6 (c) 16 (d) 9
  29. 29.If x/2 + 14 = 23, what is x? (a) 18 (b) 74 (c) 9 (d) 32
  30. 30.If x/3 + 6 = 15, what is x? (a) 9 (b) 39 (c) 27 (d) 63
  31. 31.If 8x + 20 = 5x + 26, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  32. 32.If 5x + 19 = 89, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  33. 33.If 2x + 10 = 16, what is x? (a) 6 (b) 4 (c) 13 (d) 3
  34. 34.If x/5 + 2 = 14, what is x? (a) 12 (b) 60 (c) 68 (d) 80
  35. 35.If x/6 + 1 = 10, what is x? (a) 59 (b) 66 (c) 54 (d) 9
  36. 36.If x/2 + 4 = 14, what is x? (a) 24 (b) 20 (c) 36 (d) 10
  37. 37.If x/6 + 3 = 14, what is x? (a) 81 (b) 66 (c) 11 (d) 102
  38. 38.If 3x − 19 = 8, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  39. 39.If 5x + 17 = 27, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  40. 40.If 6x + 7 = x + 27, what is x? (a) 6 (b) 3 (c) 4 (d) 5

Answer key

  1. 4
  2. 8
  3. 10
  4. 10
  5. 40
  6. 4
  7. 4
  8. 11
  9. 5
  10. 11
  11. 28
  12. 5
  13. 12
  14. 7
  15. 60
  16. 13
  17. 13
  18. 7
  19. 10
  20. 2
  21. 32
  22. 4
  23. 12
  24. 1
  25. 24
  26. 15
  27. 5
  28. 8
  29. 18
  30. 27
  31. 2
  32. 14
  33. 3
  34. 60
  35. 54
  36. 20
  37. 66
  38. 9
  39. 2
  40. 4

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