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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 224 · 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/3 + 4 = 9, what is x? (a) 39 (b) 5 (c) 23 (d) 15
  2. 2.If 2x − 11 = 1, what is x? (a) 6 (b) 12 (c) 7 (d) 5
  3. 3.If 8x + 29 = 77, what is x? (a) 6 (b) 7 (c) 5 (d) 48
  4. 4.If x/6 + 11 = 17, what is x? (a) 6 (b) 91 (c) 36 (d) 168
  5. 5.If 6x − 6 = 18, what is x? (a) 5 (b) 24 (c) 2 (d) 4
  6. 6.If 4x + 1 = x + 22, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  7. 7.If 5x + 5 = x + 53, what is x? (a) 14 (b) 13 (c) 12 (d) 8
  8. 8.If 2x − 13 = 17, what is x? (a) 15 (b) 2 (c) 30 (d) 16
  9. 9.If 4x − 21 = 3, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  10. 10.If x/4 + 7 = 12, what is x? (a) 20 (b) 76 (c) 41 (d) 5
  11. 11.If 6x + 15 = x + 65, what is x? (a) 16 (b) 11 (c) 10 (d) 12
  12. 12.If 7x + 15 = 106, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  13. 13.If 5x + 19 = x + 67, what is x? (a) 13 (b) 14 (c) 8 (d) 12
  14. 14.If 9x − 42 = 3, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  15. 15.If 3x + 11 = 20, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  16. 16.If 7x + 15 = 4x + 27, what is x? (a) 14 (b) 4 (c) 5 (d) 6
  17. 17.If 4x + 14 = x + 29, what is x? (a) 6 (b) 5 (c) 3 (d) 7
  18. 18.If x/6 + 4 = 14, what is x? (a) 60 (b) 80 (c) 10 (d) 108
  19. 19.If 4x − 4 = 4, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  20. 20.If 8x + 1 = 5x + 10, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  21. 21.If 8x − 30 = 90, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  22. 22.If 2x − 8 = 4, what is x? (a) 12 (b) 5 (c) 7 (d) 6
  23. 23.If x/2 + 15 = 18, what is x? (a) 66 (b) 3 (c) 21 (d) 6
  24. 24.If x/2 + 12 = 19, what is x? (a) 62 (b) 7 (c) 26 (d) 14
  25. 25.If 3x + 21 = 48, what is x? (a) 27 (b) 23 (c) 10 (d) 9
  26. 26.If 3x + 18 = x + 38, what is x? (a) 10 (b) 28 (c) 11 (d) 5
  27. 27.If 7x − 12 = 2, what is x? (a) 3 (b) 2 (c) 14 (d) 1
  28. 28.If 7x + 13 = 83, what is x? (a) 9 (b) 10 (c) 11 (d) 70
  29. 29.If 3x + 22 = 64, what is x? (a) 14 (b) 42 (c) 13 (d) 15
  30. 30.If 9x − 15 = 3, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  31. 31.If 5x − 8 = 27, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  32. 32.If x/2 + 13 = 16, what is x? (a) 19 (b) 58 (c) 3 (d) 6
  33. 33.If 3x − 31 = 14, what is x? (a) 15 (b) 45 (c) 14 (d) 16
  34. 34.If x/6 + 3 = 14, what is x? (a) 66 (b) 102 (c) 11 (d) 81
  35. 35.If 7x − 2 = 12, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  36. 36.If 6x + 18 = 72, what is x? (a) 10 (b) 15 (c) 54 (d) 9
  37. 37.If 5x + 24 = 64, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  38. 38.If 2x + 2 = 30, what is x? (a) 16 (b) 15 (c) 28 (d) 14
  39. 39.If x/4 + 13 = 15, what is x? (a) 47 (b) 2 (c) 8 (d) 112
  40. 40.If 4x − 16 = 20, what is x? (a) 10 (b) 9 (c) 36 (d) 1

Answer key

  1. 15
  2. 6
  3. 6
  4. 36
  5. 4
  6. 7
  7. 12
  8. 15
  9. 6
  10. 20
  11. 10
  12. 13
  13. 12
  14. 5
  15. 3
  16. 4
  17. 5
  18. 60
  19. 2
  20. 3
  21. 15
  22. 6
  23. 6
  24. 14
  25. 9
  26. 10
  27. 2
  28. 10
  29. 14
  30. 2
  31. 7
  32. 6
  33. 15
  34. 66
  35. 2
  36. 9
  37. 8
  38. 14
  39. 8
  40. 9

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