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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 555 · 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 + 3 = 17, what is x? (a) 8 (b) 10 (c) 14 (d) 7
  2. 2.If 5x − 29 = 36, what is x? (a) 12 (b) 65 (c) 14 (d) 13
  3. 3.If x/6 + 14 = 20, what is x? (a) 204 (b) 6 (c) 36 (d) 106
  4. 4.If 2x − 6 = 4, what is x? (a) 10 (b) 4 (c) 6 (d) 5
  5. 5.If 5x − 5 = 5, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  6. 6.If 3x + 2 = 44, what is x? (a) 14 (b) 42 (c) 15 (d) 13
  7. 7.If 3x − 14 = 19, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  8. 8.If 2x − 1 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  9. 9.If 7x + 25 = 60, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  10. 10.If 2x − 17 = 5, what is x? (a) 22 (b) 10 (c) 11 (d) 12
  11. 11.If 6x + 14 = x + 64, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  12. 12.If 5x + 23 = 78, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  13. 13.If x/2 + 14 = 22, what is x? (a) 8 (b) 30 (c) 16 (d) 72
  14. 14.If 3x + 24 = 39, what is x? (a) 5 (b) 21 (c) 15 (d) 6
  15. 15.If 6x + 25 = 61, what is x? (a) 5 (b) 6 (c) 7 (d) 36
  16. 16.If 7x − 51 = 33, what is x? (a) 11 (b) 84 (c) 13 (d) 12
  17. 17.If 6x + 14 = 5x + 16, what is x? (a) 30 (b) 4 (c) 3 (d) 2
  18. 18.If 6x + 15 = 63, what is x? (a) 48 (b) 8 (c) 13 (d) 9
  19. 19.If 2x + 13 = 33, what is x? (a) 20 (b) 11 (c) 10 (d) 23
  20. 20.If 6x + 19 = 5x + 29, what is x? (a) 48 (b) 12 (c) 10 (d) 11
  21. 21.If 3x − 17 = 1, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  22. 22.If 4x + 7 = 31, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  23. 23.If 5x + 12 = x + 32, what is x? (a) 6 (b) 11 (c) 7 (d) 5
  24. 24.If x/3 + 12 = 23, what is x? (a) 105 (b) 57 (c) 11 (d) 33
  25. 25.If x/3 + 4 = 14, what is x? (a) 30 (b) 10 (c) 38 (d) 54
  26. 26.If 2x − 8 = 14, what is x? (a) 12 (b) 22 (c) 3 (d) 11
  27. 27.If 7x + 8 = 29, what is x? (a) 3 (b) 2 (c) 21 (d) 4
  28. 28.If 2x + 9 = 33, what is x? (a) 13 (b) 12 (c) 21 (d) 24
  29. 29.If x/3 + 7 = 16, what is x? (a) 41 (b) 69 (c) 27 (d) 9
  30. 30.If x/3 + 6 = 10, what is x? (a) 4 (b) 48 (c) 24 (d) 12
  31. 31.If 6x + 1 = 5x + 6, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  32. 32.If 9x − 40 = 41, what is x? (a) 9 (b) 8 (c) 10 (d) 81
  33. 33.If 6x + 19 = 43, what is x? (a) 3 (b) 4 (c) 24 (d) 5
  34. 34.If 3x − 11 = 1, what is x? (a) 4 (b) 3 (c) 5 (d) 12
  35. 35.If 4x − 5 = 3, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  36. 36.If 7x − 13 = 71, what is x? (a) 84 (b) 11 (c) 12 (d) 13
  37. 37.If 8x + 5 = 4x + 29, what is x? (a) 2 (b) 6 (c) 8 (d) 7
  38. 38.If x/4 + 8 = 15, what is x? (a) 28 (b) 52 (c) 92 (d) 7
  39. 39.If 7x + 14 = 4x + 29, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  40. 40.If x/2 + 9 = 16, what is x? (a) 23 (b) 50 (c) 14 (d) 7

Answer key

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

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