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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 401 · 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 x/4 + 13 = 25, what is x? (a) 87 (b) 152 (c) 12 (d) 48
  2. 2.If 3x − 17 = 28, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  3. 3.If 4x − 2 = 18, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  4. 4.If 3x + 2 = 29, what is x? (a) 9 (b) 8 (c) 27 (d) 10
  5. 5.If 6x + 3 = x + 48, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  6. 6.If 7x + 26 = 40, what is x? (a) 2 (b) 14 (c) 3 (d) 1
  7. 7.If 2x − 11 = 13, what is x? (a) 24 (b) 1 (c) 12 (d) 13
  8. 8.If x/5 + 1 = 5, what is x? (a) 20 (b) 4 (c) 24 (d) 30
  9. 9.If 6x + 28 = 52, what is x? (a) 3 (b) 24 (c) 5 (d) 4
  10. 10.If 3x + 26 = 35, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  11. 11.If 4x + 13 = x + 19, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  12. 12.If 9x − 59 = 4, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  13. 13.If 2x − 17 = 5, what is x? (a) 10 (b) 11 (c) 22 (d) 12
  14. 14.If 3x − 5 = 4, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  15. 15.If x/2 + 2 = 4, what is x? (a) 6 (b) 2 (c) 4 (d) 12
  16. 16.If 9x + 15 = 7x + 35, what is x? (a) 12 (b) 10 (c) 11 (d) 25
  17. 17.If 2x − 3 = 5, what is x? (a) 4 (b) 1 (c) 5 (d) 8
  18. 18.If x/4 + 8 = 10, what is x? (a) 32 (b) 8 (c) 2 (d) 72
  19. 19.If 5x + 7 = 27, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  20. 20.If 7x + 17 = 38, what is x? (a) 21 (b) 4 (c) 2 (d) 3
  21. 21.If 2x − 1 = 5, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  22. 22.If x/5 + 15 = 27, what is x? (a) 120 (b) 210 (c) 60 (d) 12
  23. 23.If 4x + 19 = 2x + 23, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  24. 24.If 7x − 64 = 6, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  25. 25.If 5x + 3 = x + 19, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  26. 26.If 5x − 18 = 12, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  27. 27.If 3x − 10 = 29, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  28. 28.If 6x + 12 = 5x + 23, what is x? (a) 1 (b) 35 (c) 12 (d) 11
  29. 29.If 6x − 9 = 57, what is x? (a) 11 (b) 66 (c) 8 (d) 12
  30. 30.If 5x + 11 = 2x + 32, what is x? (a) 7 (b) 8 (c) 9 (d) 3
  31. 31.If x/4 + 8 = 12, what is x? (a) 80 (b) 16 (c) 4 (d) 40
  32. 32.If x/2 + 4 = 14, what is x? (a) 24 (b) 20 (c) 10 (d) 36
  33. 33.If 5x − 8 = 17, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  34. 34.If 3x − 17 = 1, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  35. 35.If 4x + 5 = 37, what is x? (a) 9 (b) 32 (c) 7 (d) 8
  36. 36.If 5x + 25 = 45, what is x? (a) 4 (b) 20 (c) 5 (d) 14
  37. 37.If 9x + 28 = 64, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  38. 38.If 7x − 7 = 7, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  39. 39.If x/3 + 10 = 17, what is x? (a) 7 (b) 81 (c) 41 (d) 21
  40. 40.If 6x + 5 = 3x + 8, what is x? (a) 1 (b) 3 (c) 4 (d) 2

Answer key

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

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