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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 244 · 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 4x − 17 = 15, what is x? (a) 7 (b) 32 (c) 9 (d) 8
  2. 2.If 7x + 13 = 83, what is x? (a) 9 (b) 70 (c) 11 (d) 10
  3. 3.If 3x − 6 = 3, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  4. 4.If 6x − 8 = 40, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  5. 5.If 5x − 22 = 8, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  6. 6.If 2x + 11 = 17, what is x? (a) 4 (b) 3 (c) 6 (d) 14
  7. 7.If 2x + 17 = 35, what is x? (a) 10 (b) 18 (c) 9 (d) 26
  8. 8.If 5x + 18 = 3x + 30, what is x? (a) 24 (b) 7 (c) 6 (d) 8
  9. 9.If 7x − 54 = 51, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  10. 10.If 3x − 7 = 29, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  11. 11.If 4x + 12 = 20, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  12. 12.If 2x − 5 = 11, what is x? (a) 8 (b) 9 (c) 3 (d) 16
  13. 13.If 2x + 27 = 51, what is x? (a) 24 (b) 13 (c) 12 (d) 39
  14. 14.If x/2 + 5 = 12, what is x? (a) 34 (b) 7 (c) 19 (d) 14
  15. 15.If 8x + 14 = 5x + 47, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  16. 16.If 3x + 7 = 43, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  17. 17.If 6x + 7 = 67, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  18. 18.If 3x − 6 = 6, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  19. 19.If x/4 + 11 = 14, what is x? (a) 3 (b) 12 (c) 45 (d) 100
  20. 20.If 5x + 22 = 47, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  21. 21.If 6x + 1 = 3x + 13, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  22. 22.If 3x − 20 = 10, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  23. 23.If x/6 + 7 = 13, what is x? (a) 36 (b) 71 (c) 120 (d) 6
  24. 24.If 6x − 2 = 58, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  25. 25.If 5x − 7 = 13, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  26. 26.If 8x − 22 = 82, what is x? (a) 14 (b) 13 (c) 104 (d) 12
  27. 27.If 3x − 4 = 23, what is x? (a) 10 (b) 8 (c) 27 (d) 9
  28. 28.If 6x + 2 = 68, what is x? (a) 12 (b) 10 (c) 66 (d) 11
  29. 29.If 6x − 31 = 53, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  30. 30.If 4x + 15 = 43, what is x? (a) 6 (b) 8 (c) 28 (d) 7
  31. 31.If 9x + 18 = 108, what is x? (a) 14 (b) 10 (c) 11 (d) 90
  32. 32.If 7x + 15 = 57, what is x? (a) 7 (b) 42 (c) 6 (d) 5
  33. 33.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  34. 34.If 8x + 13 = 3x + 48, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  35. 35.If x/4 + 11 = 16, what is x? (a) 20 (b) 108 (c) 5 (d) 53
  36. 36.If x/3 + 9 = 15, what is x? (a) 36 (b) 18 (c) 72 (d) 6
  37. 37.If 6x − 79 = 5, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  38. 38.If 4x − 3 = 17, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  39. 39.If 3x − 1 = 11, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  40. 40.If x/6 + 12 = 18, what is x? (a) 36 (b) 96 (c) 180 (d) 6

Answer key

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

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