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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 155 · 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 6x + 2 = x + 7, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  2. 2.If 9x − 70 = 38, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  3. 3.If x/6 + 12 = 21, what is x? (a) 198 (b) 9 (c) 114 (d) 54
  4. 4.If 8x + 29 = 101, what is x? (a) 72 (b) 10 (c) 9 (d) 8
  5. 5.If 6x + 3 = 4x + 25, what is x? (a) 11 (b) 14 (c) 13 (d) 12
  6. 6.If 6x + 18 = x + 73, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  7. 7.If 9x + 12 = 66, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  8. 8.If 2x − 11 = 15, what is x? (a) 14 (b) 2 (c) 26 (d) 13
  9. 9.If x/6 + 11 = 22, what is x? (a) 66 (b) 198 (c) 121 (d) 11
  10. 10.If 8x + 17 = 5x + 44, what is x? (a) 10 (b) 9 (c) 8 (d) 11
  11. 11.If 5x + 10 = 55, what is x? (a) 10 (b) 13 (c) 45 (d) 9
  12. 12.If x/6 + 11 = 19, what is x? (a) 8 (b) 180 (c) 48 (d) 103
  13. 13.If 5x + 17 = 2x + 53, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  14. 14.If 8x + 25 = 137, what is x? (a) 15 (b) 13 (c) 112 (d) 14
  15. 15.If x/2 + 10 = 16, what is x? (a) 22 (b) 6 (c) 12 (d) 52
  16. 16.If 4x + 7 = 3x + 13, what is x? (a) 20 (b) 8 (c) 7 (d) 6
  17. 17.If 6x + 12 = 2x + 20, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  18. 18.If 9x − 15 = 39, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  19. 19.If 3x − 11 = 4, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  20. 20.If 3x + 11 = 2x + 22, what is x? (a) 13 (b) 11 (c) 12 (d) 33
  21. 21.If 3x + 25 = 70, what is x? (a) 45 (b) 15 (c) 14 (d) 16
  22. 22.If 9x − 99 = 9, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  23. 23.If 3x + 10 = 2x + 18, what is x? (a) 28 (b) 10 (c) 8 (d) 9
  24. 24.If 8x + 22 = 94, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  25. 25.If 9x − 40 = 5, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  26. 26.If x/4 + 4 = 6, what is x? (a) 40 (b) 8 (c) 2 (d) 20
  27. 27.If 4x + 17 = 73, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  28. 28.If 2x + 16 = 20, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  29. 29.If x/4 + 3 = 7, what is x? (a) 4 (b) 40 (c) 16 (d) 25
  30. 30.If 5x + 17 = 4x + 28, what is x? (a) 12 (b) 13 (c) 45 (d) 11
  31. 31.If 5x + 7 = x + 31, what is x? (a) 8 (b) 6 (c) 7 (d) 4
  32. 32.If 9x + 10 = 91, what is x? (a) 9 (b) 10 (c) 8 (d) 81
  33. 33.If 6x + 4 = 3x + 10, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  34. 34.If x/2 + 15 = 27, what is x? (a) 12 (b) 39 (c) 84 (d) 24
  35. 35.If 9x + 12 = 93, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  36. 36.If x/5 + 5 = 12, what is x? (a) 55 (b) 85 (c) 7 (d) 35
  37. 37.If 2x + 2 = 32, what is x? (a) 16 (b) 30 (c) 15 (d) 17
  38. 38.If 8x − 30 = 50, what is x? (a) 11 (b) 10 (c) 80 (d) 9
  39. 39.If x/4 + 1 = 5, what is x? (a) 4 (b) 16 (c) 19 (d) 24
  40. 40.If 4x − 11 = 1, what is x? (a) 4 (b) 12 (c) 2 (d) 3

Answer key

  1. 1
  2. 12
  3. 54
  4. 9
  5. 11
  6. 11
  7. 6
  8. 13
  9. 66
  10. 9
  11. 9
  12. 48
  13. 12
  14. 14
  15. 12
  16. 6
  17. 2
  18. 6
  19. 5
  20. 11
  21. 15
  22. 12
  23. 8
  24. 9
  25. 5
  26. 8
  27. 14
  28. 2
  29. 16
  30. 11
  31. 6
  32. 9
  33. 2
  34. 24
  35. 9
  36. 35
  37. 15
  38. 10
  39. 16
  40. 3

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