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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 52 · 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 2x + 30 = 56, what is x? (a) 43 (b) 26 (c) 13 (d) 14
  2. 2.If 4x + 5 = 61, what is x? (a) 13 (b) 15 (c) 14 (d) 56
  3. 3.If 5x − 4 = 56, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  4. 4.If 6x − 11 = 7, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  5. 5.If x/6 + 1 = 8, what is x? (a) 54 (b) 42 (c) 7 (d) 47
  6. 6.If 3x + 12 = 24, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  7. 7.If 7x + 15 = x + 63, what is x? (a) 6 (b) 13 (c) 9 (d) 8
  8. 8.If 4x + 3 = 2x + 21, what is x? (a) 10 (b) 3 (c) 12 (d) 9
  9. 9.If 5x + 3 = 53, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  10. 10.If 2x + 2 = 28, what is x? (a) 13 (b) 15 (c) 26 (d) 14
  11. 11.If x/6 + 3 = 6, what is x? (a) 33 (b) 18 (c) 54 (d) 3
  12. 12.If 9x + 11 = 119, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  13. 13.If 7x + 19 = 5x + 25, what is x? (a) 3 (b) 22 (c) 5 (d) 4
  14. 14.If 5x − 1 = 59, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  15. 15.If 4x + 20 = 3x + 32, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  16. 16.If x/6 + 6 = 18, what is x? (a) 144 (b) 12 (c) 72 (d) 102
  17. 17.If 9x − 14 = 13, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  18. 18.If 7x − 14 = 56, what is x? (a) 70 (b) 11 (c) 6 (d) 10
  19. 19.If x/2 + 13 = 24, what is x? (a) 74 (b) 35 (c) 11 (d) 22
  20. 20.If 2x + 9 = 33, what is x? (a) 13 (b) 21 (c) 24 (d) 12
  21. 21.If x/5 + 12 = 14, what is x? (a) 2 (b) 130 (c) 58 (d) 10
  22. 22.If 4x − 19 = 1, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  23. 23.If 3x + 2 = 2x + 12, what is x? (a) 11 (b) 10 (c) 14 (d) 2
  24. 24.If x/3 + 11 = 21, what is x? (a) 52 (b) 30 (c) 10 (d) 96
  25. 25.If 6x − 63 = 3, what is x? (a) 10 (b) 66 (c) 12 (d) 11
  26. 26.If 3x − 5 = 10, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  27. 27.If 3x − 8 = 22, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  28. 28.If 7x + 1 = 2x + 11, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  29. 29.If x/4 + 5 = 17, what is x? (a) 12 (b) 63 (c) 48 (d) 88
  30. 30.If 9x + 5 = 8x + 9, what is x? (a) 4 (b) 14 (c) 5 (d) 6
  31. 31.If 6x + 7 = 49, what is x? (a) 7 (b) 6 (c) 8 (d) 42
  32. 32.If x/3 + 3 = 14, what is x? (a) 51 (b) 11 (c) 39 (d) 33
  33. 33.If 9x + 13 = x + 69, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  34. 34.If 4x − 32 = 8, what is x? (a) 11 (b) 10 (c) 40 (d) 9
  35. 35.If 7x − 25 = 59, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  36. 36.If 3x + 21 = 36, what is x? (a) 19 (b) 15 (c) 6 (d) 5
  37. 37.If 7x + 7 = 2x + 57, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  38. 38.If 8x − 11 = 77, what is x? (a) 11 (b) 10 (c) 88 (d) 12
  39. 39.If 6x − 39 = 9, what is x? (a) 48 (b) 8 (c) 9 (d) 7
  40. 40.If 4x − 35 = 1, what is x? (a) 36 (b) 8 (c) 10 (d) 9

Answer key

  1. 13
  2. 14
  3. 12
  4. 3
  5. 42
  6. 4
  7. 8
  8. 9
  9. 10
  10. 13
  11. 18
  12. 12
  13. 3
  14. 12
  15. 12
  16. 72
  17. 3
  18. 10
  19. 22
  20. 12
  21. 10
  22. 5
  23. 10
  24. 30
  25. 11
  26. 5
  27. 10
  28. 2
  29. 48
  30. 4
  31. 7
  32. 33
  33. 7
  34. 10
  35. 12
  36. 5
  37. 10
  38. 11
  39. 8
  40. 9

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