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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 677 · 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 − 7 = 23, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  2. 2.If x/3 + 6 = 9, what is x? (a) 3 (b) 9 (c) 45 (d) 21
  3. 3.If 9x + 16 = 133, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  4. 4.If 3x + 25 = 31, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  5. 5.If 8x − 65 = 7, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  6. 6.If x/5 + 10 = 15, what is x? (a) 65 (b) 125 (c) 25 (d) 5
  7. 7.If 9x + 6 = 78, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  8. 8.If x/5 + 8 = 17, what is x? (a) 77 (b) 45 (c) 9 (d) 125
  9. 9.If 5x + 5 = 2x + 20, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  10. 10.If 6x − 7 = 5, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  11. 11.If x/6 + 10 = 15, what is x? (a) 5 (b) 150 (c) 80 (d) 30
  12. 12.If x/4 + 9 = 21, what is x? (a) 12 (b) 120 (c) 48 (d) 75
  13. 13.If 5x − 5 = 65, what is x? (a) 14 (b) 12 (c) 70 (d) 15
  14. 14.If 6x + 18 = 4x + 42, what is x? (a) 13 (b) 30 (c) 12 (d) 14
  15. 15.If x/3 + 3 = 9, what is x? (a) 18 (b) 6 (c) 24 (d) 36
  16. 16.If 5x + 23 = 33, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  17. 17.If 7x + 20 = 6x + 29, what is x? (a) 9 (b) 10 (c) 11 (d) 49
  18. 18.If 9x + 1 = 2x + 43, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  19. 19.If 4x + 8 = 3x + 20, what is x? (a) 12 (b) 14 (c) 28 (d) 13
  20. 20.If 8x + 21 = 45, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  21. 21.If 5x − 16 = 9, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  22. 22.If 3x − 20 = 4, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  23. 23.If x/6 + 11 = 17, what is x? (a) 6 (b) 91 (c) 168 (d) 36
  24. 24.If x/2 + 8 = 14, what is x? (a) 12 (b) 6 (c) 44 (d) 20
  25. 25.If 2x + 30 = 44, what is x? (a) 14 (b) 8 (c) 37 (d) 7
  26. 26.If 3x + 1 = 46, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  27. 27.If 8x − 23 = 65, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  28. 28.If 4x + 16 = 40, what is x? (a) 6 (b) 14 (c) 24 (d) 7
  29. 29.If x/4 + 6 = 18, what is x? (a) 48 (b) 12 (c) 66 (d) 96
  30. 30.If 5x + 18 = 58, what is x? (a) 8 (b) 7 (c) 9 (d) 40
  31. 31.If x/5 + 4 = 8, what is x? (a) 60 (b) 36 (c) 20 (d) 4
  32. 32.If 9x + 20 = 101, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  33. 33.If 3x + 12 = 54, what is x? (a) 42 (b) 22 (c) 14 (d) 15
  34. 34.If x/6 + 3 = 9, what is x? (a) 6 (b) 36 (c) 51 (d) 72
  35. 35.If x/6 + 4 = 6, what is x? (a) 32 (b) 60 (c) 2 (d) 12
  36. 36.If 7x − 83 = 8, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  37. 37.If 8x − 4 = 60, what is x? (a) 8 (b) 64 (c) 7 (d) 9
  38. 38.If 9x − 6 = 111, what is x? (a) 13 (b) 117 (c) 14 (d) 12
  39. 39.If 5x + 5 = 3x + 29, what is x? (a) 3 (b) 12 (c) 17 (d) 13
  40. 40.If 3x + 14 = 26, what is x? (a) 4 (b) 12 (c) 5 (d) 3

Answer key

  1. 10
  2. 9
  3. 13
  4. 2
  5. 9
  6. 25
  7. 8
  8. 45
  9. 5
  10. 2
  11. 30
  12. 48
  13. 14
  14. 12
  15. 18
  16. 2
  17. 9
  18. 6
  19. 12
  20. 3
  21. 5
  22. 8
  23. 36
  24. 12
  25. 7
  26. 15
  27. 11
  28. 6
  29. 48
  30. 8
  31. 20
  32. 9
  33. 14
  34. 36
  35. 12
  36. 13
  37. 8
  38. 13
  39. 12
  40. 4

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