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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 37 · 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 + 1 = 6, what is x? (a) 5 (b) 10 (c) 11 (d) 14
  2. 2.If 4x + 29 = 49, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  3. 3.If 7x − 5 = 37, what is x? (a) 5 (b) 7 (c) 42 (d) 6
  4. 4.If 4x + 2 = x + 38, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  5. 5.If x/6 + 3 = 8, what is x? (a) 30 (b) 45 (c) 66 (d) 5
  6. 6.If 2x + 8 = 18, what is x? (a) 6 (b) 10 (c) 13 (d) 5
  7. 7.If 8x − 13 = 51, what is x? (a) 9 (b) 7 (c) 8 (d) 64
  8. 8.If x/4 + 9 = 12, what is x? (a) 39 (b) 3 (c) 84 (d) 12
  9. 9.If x/6 + 6 = 18, what is x? (a) 102 (b) 12 (c) 72 (d) 144
  10. 10.If 4x + 20 = x + 53, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  11. 11.If 9x + 17 = 143, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  12. 12.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 24 (d) 16
  13. 13.If 7x + 7 = 21, what is x? (a) 3 (b) 4 (c) 14 (d) 2
  14. 14.If x/3 + 9 = 17, what is x? (a) 42 (b) 24 (c) 8 (d) 78
  15. 15.If x/5 + 13 = 23, what is x? (a) 10 (b) 50 (c) 180 (d) 102
  16. 16.If 4x + 9 = 3x + 12, what is x? (a) 4 (b) 21 (c) 5 (d) 3
  17. 17.If 5x + 9 = 24, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  18. 18.If 9x − 23 = 13, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  19. 19.If 4x + 5 = x + 23, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  20. 20.If x/4 + 15 = 23, what is x? (a) 152 (b) 32 (c) 8 (d) 77
  21. 21.If x/6 + 9 = 16, what is x? (a) 150 (b) 7 (c) 87 (d) 42
  22. 22.If 9x + 3 = 8x + 15, what is x? (a) 12 (b) 13 (c) 18 (d) 14
  23. 23.If 5x + 5 = x + 53, what is x? (a) 8 (b) 13 (c) 12 (d) 14
  24. 24.If 8x + 22 = 54, what is x? (a) 4 (b) 5 (c) 32 (d) 3
  25. 25.If 8x + 18 = 106, what is x? (a) 12 (b) 10 (c) 88 (d) 11
  26. 26.If x/3 + 1 = 5, what is x? (a) 4 (b) 14 (c) 18 (d) 12
  27. 27.If 7x + 15 = 3x + 43, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  28. 28.If 5x + 4 = 24, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  29. 29.If 4x + 4 = 2x + 14, what is x? (a) 6 (b) 5 (c) 9 (d) 7
  30. 30.If 7x − 19 = 37, what is x? (a) 9 (b) 8 (c) 56 (d) 7
  31. 31.If 8x − 51 = 13, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  32. 32.If 9x + 6 = 60, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  33. 33.If 7x − 8 = 20, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  34. 34.If x/5 + 14 = 17, what is x? (a) 71 (b) 3 (c) 155 (d) 15
  35. 35.If x/2 + 11 = 18, what is x? (a) 58 (b) 7 (c) 25 (d) 14
  36. 36.If 4x + 6 = 3x + 16, what is x? (a) 22 (b) 11 (c) 12 (d) 10
  37. 37.If 9x − 4 = 41, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  38. 38.If 3x + 4 = 22, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  39. 39.If 5x + 24 = 89, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  40. 40.If 2x + 13 = 29, what is x? (a) 16 (b) 9 (c) 8 (d) 21

Answer key

  1. 10
  2. 5
  3. 6
  4. 12
  5. 30
  6. 5
  7. 8
  8. 12
  9. 72
  10. 11
  11. 14
  12. 16
  13. 2
  14. 24
  15. 50
  16. 3
  17. 3
  18. 4
  19. 6
  20. 32
  21. 42
  22. 12
  23. 12
  24. 4
  25. 11
  26. 12
  27. 7
  28. 4
  29. 5
  30. 8
  31. 8
  32. 6
  33. 4
  34. 15
  35. 14
  36. 10
  37. 5
  38. 6
  39. 13
  40. 8

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