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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 654 · 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 + 11 = 29, what is x? (a) 2 (b) 3 (c) 18 (d) 4
  2. 2.If 7x − 20 = 71, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  3. 3.If 9x − 29 = 7, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  4. 4.If 5x + 11 = 3x + 33, what is x? (a) 13 (b) 12 (c) 11 (d) 22
  5. 5.If x/6 + 1 = 13, what is x? (a) 72 (b) 84 (c) 12 (d) 77
  6. 6.If 7x + 18 = 2x + 38, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  7. 7.If 6x + 1 = 5x + 2, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.If 8x − 16 = 16, what is x? (a) 3 (b) 4 (c) 5 (d) 32
  9. 9.If 5x + 7 = 4x + 10, what is x? (a) 3 (b) 5 (c) 17 (d) 4
  10. 10.If 4x + 20 = x + 32, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  11. 11.If x/6 + 12 = 22, what is x? (a) 120 (b) 10 (c) 60 (d) 204
  12. 12.If 9x + 14 = 95, what is x? (a) 81 (b) 9 (c) 10 (d) 8
  13. 13.If 6x + 14 = 32, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  14. 14.If 6x + 26 = 74, what is x? (a) 8 (b) 9 (c) 48 (d) 7
  15. 15.If 8x − 77 = 27, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  16. 16.If 5x + 6 = 3x + 28, what is x? (a) 13 (b) 11 (c) 12 (d) 17
  17. 17.If x/5 + 6 = 13, what is x? (a) 59 (b) 7 (c) 95 (d) 35
  18. 18.If 9x − 28 = 89, what is x? (a) 13 (b) 12 (c) 14 (d) 117
  19. 19.If 9x − 17 = 118, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  20. 20.If 7x + 29 = 57, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  21. 21.If x/6 + 3 = 7, what is x? (a) 4 (b) 39 (c) 60 (d) 24
  22. 22.If 6x + 7 = 4x + 9, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  23. 23.If 6x − 50 = 40, what is x? (a) 14 (b) 90 (c) 15 (d) 16
  24. 24.If x/5 + 11 = 14, what is x? (a) 59 (b) 15 (c) 3 (d) 125
  25. 25.If 6x − 6 = 18, what is x? (a) 4 (b) 5 (c) 24 (d) 2
  26. 26.If 3x − 18 = 21, what is x? (a) 13 (b) 14 (c) 1 (d) 39
  27. 27.If 7x + 2 = 2x + 57, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  28. 28.If 5x + 23 = 38, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  29. 29.If 3x + 7 = x + 13, what is x? (a) 5 (b) 3 (c) 10 (d) 4
  30. 30.If 4x + 11 = 2x + 33, what is x? (a) 11 (b) 22 (c) 13 (d) 12
  31. 31.If 4x + 5 = x + 26, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  32. 32.If 6x + 8 = 56, what is x? (a) 7 (b) 9 (c) 48 (d) 8
  33. 33.If 2x − 3 = 27, what is x? (a) 16 (b) 12 (c) 15 (d) 30
  34. 34.If 8x + 13 = 2x + 43, what is x? (a) 5 (b) 3 (c) 7 (d) 6
  35. 35.If 4x + 12 = 24, what is x? (a) 4 (b) 12 (c) 9 (d) 3
  36. 36.If 8x + 14 = 7x + 20, what is x? (a) 34 (b) 8 (c) 7 (d) 6
  37. 37.If 4x + 22 = 38, what is x? (a) 16 (b) 4 (c) 5 (d) 15
  38. 38.If 2x + 19 = 39, what is x? (a) 20 (b) 11 (c) 10 (d) 29
  39. 39.If 9x − 12 = 78, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  40. 40.If 6x + 1 = 4x + 7, what is x? (a) 3 (b) 4 (c) 2 (d) 5

Answer key

  1. 3
  2. 13
  3. 4
  4. 11
  5. 72
  6. 4
  7. 1
  8. 4
  9. 3
  10. 4
  11. 60
  12. 9
  13. 3
  14. 8
  15. 13
  16. 11
  17. 35
  18. 13
  19. 15
  20. 4
  21. 24
  22. 1
  23. 15
  24. 15
  25. 4
  26. 13
  27. 11
  28. 3
  29. 3
  30. 11
  31. 7
  32. 8
  33. 15
  34. 5
  35. 3
  36. 6
  37. 4
  38. 10
  39. 10
  40. 3

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