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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 60 · 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 5x + 1 = 4x + 6, what is x? (a) 5 (b) 4 (c) 7 (d) 6
  2. 2.If 9x − 17 = 73, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  3. 3.If x/2 + 9 = 15, what is x? (a) 48 (b) 6 (c) 21 (d) 12
  4. 4.If 6x − 2 = 22, what is x? (a) 3 (b) 24 (c) 5 (d) 4
  5. 5.If x/3 + 9 = 18, what is x? (a) 45 (b) 9 (c) 81 (d) 27
  6. 6.If 4x + 20 = x + 32, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  7. 7.If x/2 + 1 = 4, what is x? (a) 10 (b) 3 (c) 6 (d) 7
  8. 8.If x/6 + 15 = 23, what is x? (a) 123 (b) 48 (c) 8 (d) 228
  9. 9.If x/3 + 1 = 8, what is x? (a) 7 (b) 21 (c) 23 (d) 27
  10. 10.If 3x − 2 = 4, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  11. 11.If 8x + 26 = 50, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  12. 12.If 6x + 16 = 5x + 28, what is x? (a) 44 (b) 13 (c) 14 (d) 12
  13. 13.If 6x − 17 = 1, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  14. 14.If 4x + 11 = 59, what is x? (a) 12 (b) 13 (c) 11 (d) 48
  15. 15.If x/2 + 7 = 11, what is x? (a) 15 (b) 8 (c) 36 (d) 4
  16. 16.If 9x + 4 = 121, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  17. 17.If 5x + 2 = 37, what is x? (a) 7 (b) 6 (c) 8 (d) 35
  18. 18.If 8x + 14 = 94, what is x? (a) 80 (b) 10 (c) 9 (d) 11
  19. 19.If 2x − 2 = 12, what is x? (a) 5 (b) 14 (c) 7 (d) 8
  20. 20.If x/6 + 2 = 8, what is x? (a) 60 (b) 46 (c) 36 (d) 6
  21. 21.If 4x − 37 = 15, what is x? (a) 12 (b) 14 (c) 13 (d) 52
  22. 22.If 4x + 18 = 78, what is x? (a) 16 (b) 60 (c) 24 (d) 15
  23. 23.If 8x + 6 = x + 83, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  24. 24.If 8x + 3 = 115, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  25. 25.If x/5 + 1 = 5, what is x? (a) 20 (b) 30 (c) 24 (d) 4
  26. 26.If 3x + 14 = 59, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  27. 27.If 2x + 16 = 28, what is x? (a) 6 (b) 22 (c) 7 (d) 12
  28. 28.If 3x + 17 = 41, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  29. 29.If 8x + 10 = 90, what is x? (a) 9 (b) 80 (c) 10 (d) 11
  30. 30.If 3x + 18 = x + 20, what is x? (a) 1 (b) 19 (c) 2 (d) 3
  31. 31.If 2x + 11 = 15, what is x? (a) 13 (b) 4 (c) 3 (d) 2
  32. 32.If 4x + 15 = 59, what is x? (a) 12 (b) 10 (c) 11 (d) 44
  33. 33.If 6x + 11 = 4x + 25, what is x? (a) 9 (b) 18 (c) 7 (d) 8
  34. 34.If x/6 + 8 = 18, what is x? (a) 10 (b) 100 (c) 60 (d) 156
  35. 35.If 5x + 12 = 77, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  36. 36.If 8x − 29 = 11, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  37. 37.If 2x − 7 = 5, what is x? (a) 6 (b) 7 (c) 5 (d) 12
  38. 38.If 3x + 18 = x + 42, what is x? (a) 30 (b) 12 (c) 13 (d) 6
  39. 39.If 5x + 6 = 76, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  40. 40.If x/4 + 11 = 13, what is x? (a) 96 (b) 41 (c) 2 (d) 8

Answer key

  1. 5
  2. 10
  3. 12
  4. 4
  5. 27
  6. 4
  7. 6
  8. 48
  9. 21
  10. 2
  11. 3
  12. 12
  13. 3
  14. 12
  15. 8
  16. 13
  17. 7
  18. 10
  19. 7
  20. 36
  21. 13
  22. 15
  23. 11
  24. 14
  25. 20
  26. 15
  27. 6
  28. 8
  29. 10
  30. 1
  31. 2
  32. 11
  33. 7
  34. 60
  35. 13
  36. 5
  37. 6
  38. 12
  39. 14
  40. 8

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