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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 732 · 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 + 3 = 108, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  2. 2.If x/5 + 14 = 25, what is x? (a) 11 (b) 55 (c) 111 (d) 195
  3. 3.If x/5 + 10 = 19, what is x? (a) 45 (b) 145 (c) 9 (d) 85
  4. 4.If 3x + 4 = 49, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  5. 5.If 8x − 3 = 37, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  6. 6.If 3x + 5 = x + 11, what is x? (a) 3 (b) 5 (c) 8 (d) 4
  7. 7.If 5x − 25 = 45, what is x? (a) 4 (b) 70 (c) 14 (d) 15
  8. 8.If 5x + 18 = x + 54, what is x? (a) 18 (b) 6 (c) 10 (d) 9
  9. 9.If 3x + 26 = 32, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  10. 10.If 7x + 26 = 54, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  11. 11.If x/2 + 1 = 6, what is x? (a) 11 (b) 14 (c) 5 (d) 10
  12. 12.If 4x + 28 = 64, what is x? (a) 36 (b) 9 (c) 10 (d) 23
  13. 13.If 4x + 5 = 57, what is x? (a) 12 (b) 14 (c) 13 (d) 52
  14. 14.If 4x − 24 = 8, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  15. 15.If 9x + 10 = 8x + 14, what is x? (a) 6 (b) 24 (c) 4 (d) 5
  16. 16.If 4x − 13 = 7, what is x? (a) 20 (b) 5 (c) 4 (d) 6
  17. 17.If 2x + 11 = 21, what is x? (a) 16 (b) 6 (c) 10 (d) 5
  18. 18.If 7x − 3 = 60, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  19. 19.If 5x + 2 = 57, what is x? (a) 55 (b) 11 (c) 12 (d) 10
  20. 20.If 6x − 37 = 53, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  21. 21.If 6x + 15 = 4x + 37, what is x? (a) 11 (b) 13 (c) 12 (d) 26
  22. 22.If 9x + 7 = 7x + 15, what is x? (a) 4 (b) 6 (c) 5 (d) 11
  23. 23.If 9x + 18 = 6x + 33, what is x? (a) 17 (b) 1 (c) 5 (d) 6
  24. 24.If x/6 + 14 = 20, what is x? (a) 36 (b) 106 (c) 204 (d) 6
  25. 25.If 7x − 38 = 46, what is x? (a) 84 (b) 11 (c) 13 (d) 12
  26. 26.If 4x + 6 = x + 12, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  27. 27.If x/2 + 9 = 18, what is x? (a) 54 (b) 27 (c) 18 (d) 9
  28. 28.If 8x − 17 = 47, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  29. 29.If 9x + 13 = 112, what is x? (a) 99 (b) 11 (c) 12 (d) 10
  30. 30.If 5x + 12 = 42, what is x? (a) 30 (b) 6 (c) 7 (d) 5
  31. 31.If x/2 + 5 = 10, what is x? (a) 30 (b) 15 (c) 10 (d) 5
  32. 32.If 3x − 1 = 5, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  33. 33.If 5x + 21 = 36, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  34. 34.If x/6 + 8 = 12, what is x? (a) 120 (b) 64 (c) 4 (d) 24
  35. 35.If 9x + 8 = 116, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  36. 36.If 7x − 39 = 3, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  37. 37.If x/2 + 8 = 16, what is x? (a) 8 (b) 16 (c) 48 (d) 24
  38. 38.If x/4 + 2 = 8, what is x? (a) 30 (b) 6 (c) 24 (d) 40
  39. 39.If 2x − 7 = 1, what is x? (a) 3 (b) 4 (c) 8 (d) 5
  40. 40.If 8x − 74 = 6, what is x? (a) 80 (b) 9 (c) 11 (d) 10

Answer key

  1. 15
  2. 55
  3. 45
  4. 15
  5. 5
  6. 3
  7. 14
  8. 9
  9. 2
  10. 4
  11. 10
  12. 9
  13. 13
  14. 8
  15. 4
  16. 5
  17. 5
  18. 9
  19. 11
  20. 15
  21. 11
  22. 4
  23. 5
  24. 36
  25. 12
  26. 2
  27. 18
  28. 8
  29. 11
  30. 6
  31. 10
  32. 2
  33. 3
  34. 24
  35. 12
  36. 6
  37. 16
  38. 24
  39. 4
  40. 10

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