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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 331 · 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 − 31 = 29, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  2. 2.If 5x + 17 = 2x + 44, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  3. 3.If x/3 + 2 = 4, what is x? (a) 2 (b) 18 (c) 10 (d) 6
  4. 4.If 9x − 3 = 132, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  5. 5.If 3x + 20 = 62, what is x? (a) 42 (b) 15 (c) 13 (d) 14
  6. 6.If 9x + 2 = 6x + 29, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  7. 7.If 5x − 5 = 70, what is x? (a) 15 (b) 16 (c) 75 (d) 13
  8. 8.If 4x + 19 = 2x + 23, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  9. 9.If x/6 + 5 = 16, what is x? (a) 126 (b) 66 (c) 11 (d) 91
  10. 10.If 7x − 8 = 83, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  11. 11.If 4x − 30 = 26, what is x? (a) 15 (b) 56 (c) 14 (d) 13
  12. 12.If 7x − 33 = 65, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  13. 13.If 4x + 26 = 86, what is x? (a) 16 (b) 15 (c) 60 (d) 28
  14. 14.If 9x + 13 = 7x + 29, what is x? (a) 8 (b) 21 (c) 9 (d) 1
  15. 15.If 9x + 5 = 140, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  16. 16.If 4x + 21 = 73, what is x? (a) 14 (b) 52 (c) 12 (d) 13
  17. 17.If 8x + 19 = 7x + 26, what is x? (a) 45 (b) 9 (c) 8 (d) 7
  18. 18.If 4x + 4 = 12, what is x? (a) 3 (b) 4 (c) 8 (d) 2
  19. 19.If 8x + 15 = 6x + 25, what is x? (a) 6 (b) 20 (c) 7 (d) 5
  20. 20.If 3x + 20 = 2x + 29, what is x? (a) 49 (b) 10 (c) 11 (d) 9
  21. 21.If 8x − 40 = 40, what is x? (a) 9 (b) 11 (c) 10 (d) 80
  22. 22.If 7x − 70 = 7, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  23. 23.If 9x − 57 = 51, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  24. 24.If 3x + 14 = x + 22, what is x? (a) 4 (b) 2 (c) 5 (d) 18
  25. 25.If 8x − 51 = 61, what is x? (a) 15 (b) 13 (c) 14 (d) 112
  26. 26.If 3x − 7 = 5, what is x? (a) 3 (b) 4 (c) 5 (d) 12
  27. 27.If 6x − 63 = 15, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  28. 28.If 8x + 25 = 137, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  29. 29.If 3x − 12 = 3, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  30. 30.If 3x + 9 = x + 21, what is x? (a) 3 (b) 6 (c) 15 (d) 7
  31. 31.If 6x + 28 = 94, what is x? (a) 66 (b) 10 (c) 12 (d) 11
  32. 32.If 2x + 6 = 12, what is x? (a) 4 (b) 3 (c) 9 (d) 6
  33. 33.If 4x + 11 = 55, what is x? (a) 12 (b) 11 (c) 10 (d) 44
  34. 34.If 9x + 20 = 155, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  35. 35.If 9x + 17 = 44, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  36. 36.If 4x + 18 = 38, what is x? (a) 14 (b) 5 (c) 20 (d) 6
  37. 37.If x/3 + 5 = 7, what is x? (a) 16 (b) 2 (c) 6 (d) 36
  38. 38.If 8x + 7 = 6x + 15, what is x? (a) 4 (b) 11 (c) 5 (d) 6
  39. 39.If 8x + 26 = 66, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  40. 40.If 4x − 6 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 8

Answer key

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

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