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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 481 · 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 7x − 21 = 84, what is x? (a) 105 (b) 9 (c) 16 (d) 15
  2. 2.If 5x + 5 = 4x + 14, what is x? (a) 9 (b) 1 (c) 10 (d) 19
  3. 3.If 8x − 22 = 50, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  4. 4.If 2x + 27 = 45, what is x? (a) 36 (b) 10 (c) 9 (d) 18
  5. 5.If 4x + 19 = 2x + 27, what is x? (a) 4 (b) 6 (c) 5 (d) 23
  6. 6.If 4x − 7 = 17, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  7. 7.If 6x + 2 = 4x + 14, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  8. 8.If 3x + 12 = x + 32, what is x? (a) 5 (b) 22 (c) 10 (d) 11
  9. 9.If x/4 + 9 = 20, what is x? (a) 71 (b) 11 (c) 116 (d) 44
  10. 10.If 9x − 34 = 47, what is x? (a) 9 (b) 8 (c) 10 (d) 81
  11. 11.If 3x − 20 = 7, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  12. 12.If 6x − 6 = 6, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  13. 13.If 5x + 16 = 2x + 49, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  14. 14.If x/2 + 13 = 17, what is x? (a) 8 (b) 60 (c) 21 (d) 4
  15. 15.If 5x − 17 = 8, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  16. 16.If 6x + 28 = 112, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  17. 17.If x/2 + 10 = 20, what is x? (a) 30 (b) 10 (c) 60 (d) 20
  18. 18.If 8x + 6 = 62, what is x? (a) 6 (b) 8 (c) 56 (d) 7
  19. 19.If x/4 + 4 = 11, what is x? (a) 7 (b) 60 (c) 28 (d) 40
  20. 20.If 3x + 9 = 39, what is x? (a) 30 (b) 10 (c) 16 (d) 11
  21. 21.If 7x + 30 = 58, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  22. 22.If 2x + 19 = 25, what is x? (a) 4 (b) 6 (c) 3 (d) 22
  23. 23.If x/6 + 14 = 16, what is x? (a) 180 (b) 82 (c) 12 (d) 2
  24. 24.If 3x + 20 = 32, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  25. 25.If 8x + 1 = 25, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  26. 26.If 5x + 1 = 41, what is x? (a) 8 (b) 7 (c) 40 (d) 9
  27. 27.If 5x − 70 = 5, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  28. 28.If 5x + 9 = 4x + 16, what is x? (a) 9 (b) 25 (c) 7 (d) 8
  29. 29.If 6x + 16 = 70, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  30. 30.If x/3 + 2 = 12, what is x? (a) 42 (b) 10 (c) 34 (d) 30
  31. 31.If 9x + 11 = 4x + 36, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  32. 32.If 7x + 9 = 51, what is x? (a) 7 (b) 5 (c) 6 (d) 42
  33. 33.If 3x + 14 = x + 16, what is x? (a) 3 (b) 15 (c) 1 (d) 2
  34. 34.If 6x + 22 = 82, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  35. 35.If 7x + 18 = 67, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  36. 36.If 3x − 7 = 14, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  37. 37.If 5x − 20 = 5, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  38. 38.If 8x − 37 = 83, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  39. 39.If 3x − 14 = 10, what is x? (a) 7 (b) 9 (c) 8 (d) 24
  40. 40.If 9x + 12 = 93, what is x? (a) 81 (b) 10 (c) 9 (d) 8

Answer key

  1. 15
  2. 9
  3. 9
  4. 9
  5. 4
  6. 6
  7. 6
  8. 10
  9. 44
  10. 9
  11. 9
  12. 2
  13. 11
  14. 8
  15. 5
  16. 14
  17. 20
  18. 7
  19. 28
  20. 10
  21. 4
  22. 3
  23. 12
  24. 4
  25. 3
  26. 8
  27. 15
  28. 7
  29. 9
  30. 30
  31. 5
  32. 6
  33. 1
  34. 10
  35. 7
  36. 7
  37. 5
  38. 15
  39. 8
  40. 9

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