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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 286 · 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 9x + 5 = 2x + 61, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  2. 2.If 2x + 14 = 30, what is x? (a) 8 (b) 9 (c) 22 (d) 16
  3. 3.If 3x + 7 = 52, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  4. 4.If x/6 + 4 = 7, what is x? (a) 3 (b) 66 (c) 38 (d) 18
  5. 5.If 7x − 59 = 4, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  6. 6.If 5x + 13 = 33, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  7. 7.If 8x + 11 = 27, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  8. 8.If 6x + 1 = 5x + 12, what is x? (a) 1 (b) 12 (c) 13 (d) 11
  9. 9.If x/3 + 8 = 10, what is x? (a) 54 (b) 6 (c) 22 (d) 2
  10. 10.If 4x + 16 = 3x + 27, what is x? (a) 11 (b) 12 (c) 13 (d) 43
  11. 11.If 2x + 22 = 36, what is x? (a) 8 (b) 29 (c) 14 (d) 7
  12. 12.If x/4 + 14 = 26, what is x? (a) 12 (b) 90 (c) 160 (d) 48
  13. 13.If 5x + 5 = 4x + 16, what is x? (a) 13 (b) 21 (c) 11 (d) 12
  14. 14.If 2x + 22 = 26, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  15. 15.If x/6 + 6 = 18, what is x? (a) 72 (b) 12 (c) 102 (d) 144
  16. 16.If 9x + 10 = x + 34, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  17. 17.If x/2 + 15 = 19, what is x? (a) 4 (b) 8 (c) 68 (d) 23
  18. 18.If 9x + 20 = 5x + 60, what is x? (a) 10 (b) 20 (c) 12 (d) 11
  19. 19.If 7x − 4 = 87, what is x? (a) 12 (b) 14 (c) 13 (d) 91
  20. 20.If 5x + 15 = x + 19, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  21. 21.If 3x + 13 = x + 29, what is x? (a) 4 (b) 21 (c) 9 (d) 8
  22. 22.If 4x + 20 = 2x + 44, what is x? (a) 32 (b) 4 (c) 13 (d) 12
  23. 23.If x/3 + 14 = 18, what is x? (a) 12 (b) 40 (c) 4 (d) 96
  24. 24.If x/2 + 10 = 12, what is x? (a) 4 (b) 14 (c) 2 (d) 44
  25. 25.If x/3 + 10 = 17, what is x? (a) 41 (b) 21 (c) 81 (d) 7
  26. 26.If 2x + 8 = 22, what is x? (a) 14 (b) 8 (c) 15 (d) 7
  27. 27.If 5x + 15 = 85, what is x? (a) 20 (b) 70 (c) 14 (d) 15
  28. 28.If 8x + 10 = x + 31, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  29. 29.If 2x + 9 = 25, what is x? (a) 17 (b) 16 (c) 9 (d) 8
  30. 30.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  31. 31.If 6x − 20 = 70, what is x? (a) 15 (b) 16 (c) 90 (d) 14
  32. 32.If 4x + 6 = x + 15, what is x? (a) 5 (b) 4 (c) 3 (d) 7
  33. 33.If x/3 + 8 = 18, what is x? (a) 78 (b) 10 (c) 30 (d) 46
  34. 34.If 9x + 8 = 8x + 15, what is x? (a) 23 (b) 9 (c) 7 (d) 8
  35. 35.If 4x + 15 = 2x + 39, what is x? (a) 27 (b) 4 (c) 12 (d) 13
  36. 36.If 4x + 9 = x + 27, what is x? (a) 8 (b) 6 (c) 7 (d) 12
  37. 37.If 8x + 18 = 6x + 32, what is x? (a) 1 (b) 25 (c) 7 (d) 8
  38. 38.If 4x − 46 = 6, what is x? (a) 12 (b) 13 (c) 52 (d) 14
  39. 39.If 5x + 29 = 44, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  40. 40.If 4x − 10 = 22, what is x? (a) 9 (b) 32 (c) 8 (d) 3

Answer key

  1. 8
  2. 8
  3. 15
  4. 18
  5. 9
  6. 4
  7. 2
  8. 11
  9. 6
  10. 11
  11. 7
  12. 48
  13. 11
  14. 2
  15. 72
  16. 3
  17. 8
  18. 10
  19. 13
  20. 1
  21. 8
  22. 12
  23. 12
  24. 4
  25. 21
  26. 7
  27. 14
  28. 3
  29. 8
  30. 20
  31. 15
  32. 3
  33. 30
  34. 7
  35. 12
  36. 6
  37. 7
  38. 13
  39. 3
  40. 8

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