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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 719 · 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 + 10 = 127, what is x? (a) 14 (b) 117 (c) 13 (d) 12
  2. 2.If 4x + 16 = 3x + 20, what is x? (a) 36 (b) 4 (c) 5 (d) 6
  3. 3.If 4x + 11 = 2x + 29, what is x? (a) 9 (b) 10 (c) 20 (d) 3
  4. 4.If x/5 + 13 = 17, what is x? (a) 72 (b) 20 (c) 150 (d) 4
  5. 5.If 4x − 36 = 4, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  6. 6.If 5x − 6 = 9, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  7. 7.If 2x − 16 = 10, what is x? (a) 26 (b) 12 (c) 13 (d) 14
  8. 8.If 5x + 10 = 4x + 12, what is x? (a) 22 (b) 2 (c) 4 (d) 3
  9. 9.If x/4 + 15 = 27, what is x? (a) 48 (b) 168 (c) 12 (d) 93
  10. 10.If 7x + 15 = 71, what is x? (a) 7 (b) 9 (c) 8 (d) 56
  11. 11.If 3x + 23 = 44, what is x? (a) 6 (b) 7 (c) 8 (d) 21
  12. 12.If x/3 + 9 = 15, what is x? (a) 18 (b) 72 (c) 6 (d) 36
  13. 13.If x/2 + 12 = 20, what is x? (a) 8 (b) 28 (c) 64 (d) 16
  14. 14.If 3x − 20 = 16, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  15. 15.If 3x + 11 = x + 25, what is x? (a) 8 (b) 18 (c) 7 (d) 9
  16. 16.If 9x − 98 = 28, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  17. 17.If 8x + 11 = 6x + 19, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  18. 18.If 4x + 8 = x + 23, what is x? (a) 3 (b) 6 (c) 7 (d) 5
  19. 19.If x/6 + 8 = 14, what is x? (a) 6 (b) 76 (c) 132 (d) 36
  20. 20.If x/3 + 8 = 16, what is x? (a) 40 (b) 8 (c) 72 (d) 24
  21. 21.If 5x − 49 = 11, what is x? (a) 12 (b) 13 (c) 60 (d) 11
  22. 22.If 7x − 77 = 21, what is x? (a) 13 (b) 98 (c) 15 (d) 14
  23. 23.If 6x − 89 = 1, what is x? (a) 15 (b) 90 (c) 16 (d) 14
  24. 24.If 2x − 9 = 1, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  25. 25.If 8x − 99 = 5, what is x? (a) 13 (b) 104 (c) 12 (d) 14
  26. 26.If 4x − 43 = 17, what is x? (a) 14 (b) 16 (c) 15 (d) 60
  27. 27.If 7x − 11 = 17, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  28. 28.If x/6 + 7 = 12, what is x? (a) 5 (b) 30 (c) 114 (d) 65
  29. 29.If 3x + 25 = 64, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  30. 30.If 7x + 22 = 120, what is x? (a) 13 (b) 98 (c) 15 (d) 14
  31. 31.If 6x + 16 = 82, what is x? (a) 66 (b) 11 (c) 10 (d) 12
  32. 32.If x/2 + 1 = 5, what is x? (a) 12 (b) 9 (c) 4 (d) 8
  33. 33.If 9x + 3 = 30, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  34. 34.If 9x + 12 = 66, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  35. 35.If 3x + 30 = 48, what is x? (a) 6 (b) 18 (c) 26 (d) 7
  36. 36.If 8x + 19 = 83, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  37. 37.If 5x − 21 = 9, what is x? (a) 30 (b) 6 (c) 5 (d) 7
  38. 38.If 4x + 3 = x + 39, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  39. 39.If 9x − 9 = 54, what is x? (a) 63 (b) 8 (c) 7 (d) 5
  40. 40.If 7x − 57 = 6, what is x? (a) 8 (b) 9 (c) 10 (d) 63

Answer key

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

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