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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 749 · 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 9x + 6 = 87, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  2. 2.If x/5 + 5 = 15, what is x? (a) 10 (b) 70 (c) 100 (d) 50
  3. 3.If x/6 + 3 = 8, what is x? (a) 30 (b) 5 (c) 45 (d) 66
  4. 4.If x/2 + 14 = 16, what is x? (a) 2 (b) 60 (c) 18 (d) 4
  5. 5.If 4x + 9 = 2x + 27, what is x? (a) 9 (b) 10 (c) 18 (d) 3
  6. 6.If 6x + 7 = 37, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  7. 7.If 5x − 8 = 67, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  8. 8.If 2x + 22 = 44, what is x? (a) 12 (b) 22 (c) 33 (d) 11
  9. 9.If 7x + 22 = 50, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  10. 10.If 4x − 35 = 5, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  11. 11.If x/6 + 14 = 18, what is x? (a) 4 (b) 192 (c) 94 (d) 24
  12. 12.If 3x + 15 = 45, what is x? (a) 20 (b) 10 (c) 11 (d) 30
  13. 13.If 9x + 2 = 119, what is x? (a) 14 (b) 12 (c) 117 (d) 13
  14. 14.If 9x + 18 = 5x + 62, what is x? (a) 12 (b) 20 (c) 13 (d) 11
  15. 15.If 7x − 40 = 65, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  16. 16.If x/6 + 6 = 11, what is x? (a) 102 (b) 5 (c) 60 (d) 30
  17. 17.If x/4 + 13 = 17, what is x? (a) 16 (b) 120 (c) 55 (d) 4
  18. 18.If 3x − 3 = 3, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  19. 19.If x/3 + 3 = 11, what is x? (a) 8 (b) 42 (c) 30 (d) 24
  20. 20.If x/4 + 1 = 5, what is x? (a) 19 (b) 4 (c) 24 (d) 16
  21. 21.If x/2 + 8 = 11, what is x? (a) 3 (b) 14 (c) 38 (d) 6
  22. 22.If 4x − 36 = 4, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  23. 23.If 3x − 3 = 21, what is x? (a) 8 (b) 24 (c) 9 (d) 6
  24. 24.If 7x + 27 = 48, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  25. 25.If x/4 + 10 = 15, what is x? (a) 5 (b) 20 (c) 100 (d) 50
  26. 26.If 6x − 37 = 29, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  27. 27.If 2x + 12 = 32, what is x? (a) 10 (b) 22 (c) 20 (d) 11
  28. 28.If 5x − 39 = 21, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  29. 29.If 5x − 29 = 1, what is x? (a) 7 (b) 6 (c) 30 (d) 5
  30. 30.If 6x + 16 = 4x + 18, what is x? (a) 1 (b) 3 (c) 17 (d) 2
  31. 31.If 4x + 12 = 2x + 28, what is x? (a) 10 (b) 20 (c) 8 (d) 9
  32. 32.If 6x + 15 = 2x + 63, what is x? (a) 14 (b) 6 (c) 12 (d) 13
  33. 33.If 9x − 2 = 79, what is x? (a) 9 (b) 10 (c) 8 (d) 81
  34. 34.If 6x + 18 = 2x + 42, what is x? (a) 15 (b) 3 (c) 6 (d) 7
  35. 35.If 3x + 24 = 48, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  36. 36.If x/5 + 10 = 16, what is x? (a) 6 (b) 30 (c) 70 (d) 130
  37. 37.If x/6 + 3 = 6, what is x? (a) 33 (b) 54 (c) 3 (d) 18
  38. 38.If 9x + 26 = 89, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  39. 39.If x/6 + 11 = 21, what is x? (a) 10 (b) 115 (c) 60 (d) 192
  40. 40.If 4x + 1 = 21, what is x? (a) 5 (b) 4 (c) 6 (d) 20

Answer key

  1. 9
  2. 50
  3. 30
  4. 4
  5. 9
  6. 5
  7. 15
  8. 11
  9. 4
  10. 10
  11. 24
  12. 10
  13. 13
  14. 11
  15. 15
  16. 30
  17. 16
  18. 2
  19. 24
  20. 16
  21. 6
  22. 10
  23. 8
  24. 3
  25. 20
  26. 11
  27. 10
  28. 12
  29. 6
  30. 1
  31. 8
  32. 12
  33. 9
  34. 6
  35. 8
  36. 30
  37. 18
  38. 7
  39. 60
  40. 5

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