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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 30 · 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 6x + 9 = 87, what is x? (a) 14 (b) 16 (c) 13 (d) 78
  2. 2.If 8x − 1 = 15, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  3. 3.If x/2 + 7 = 11, what is x? (a) 4 (b) 36 (c) 15 (d) 8
  4. 4.If 3x − 21 = 3, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  5. 5.If 3x − 8 = 13, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  6. 6.If 8x + 16 = 7x + 26, what is x? (a) 11 (b) 12 (c) 42 (d) 10
  7. 7.If 8x − 96 = 8, what is x? (a) 12 (b) 13 (c) 104 (d) 14
  8. 8.If 7x − 15 = 13, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  9. 9.If 7x + 13 = 104, what is x? (a) 12 (b) 14 (c) 13 (d) 91
  10. 10.If 8x + 6 = 3x + 56, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  11. 11.If x/2 + 15 = 19, what is x? (a) 68 (b) 8 (c) 23 (d) 4
  12. 12.If x/2 + 11 = 14, what is x? (a) 17 (b) 3 (c) 50 (d) 6
  13. 13.If 3x − 3 = 36, what is x? (a) 13 (b) 14 (c) 11 (d) 39
  14. 14.If 6x + 9 = 5x + 13, what is x? (a) 6 (b) 22 (c) 4 (d) 5
  15. 15.If x/6 + 9 = 19, what is x? (a) 60 (b) 168 (c) 10 (d) 105
  16. 16.If 2x + 10 = 24, what is x? (a) 14 (b) 17 (c) 8 (d) 7
  17. 17.If 6x + 27 = 51, what is x? (a) 13 (b) 4 (c) 5 (d) 24
  18. 18.If 8x + 6 = 102, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  19. 19.If 3x − 17 = 4, what is x? (a) 7 (b) 6 (c) 21 (d) 8
  20. 20.If 4x − 4 = 36, what is x? (a) 10 (b) 11 (c) 40 (d) 8
  21. 21.If 6x − 8 = 10, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  22. 22.If 3x + 15 = x + 29, what is x? (a) 9 (b) 8 (c) 7 (d) 22
  23. 23.If 7x + 19 = 4x + 37, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  24. 24.If x/3 + 5 = 14, what is x? (a) 37 (b) 9 (c) 27 (d) 57
  25. 25.If 3x − 7 = 11, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  26. 26.If 5x − 5 = 65, what is x? (a) 70 (b) 15 (c) 12 (d) 14
  27. 27.If 9x + 23 = 122, what is x? (a) 11 (b) 12 (c) 10 (d) 99
  28. 28.If 7x − 1 = 20, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  29. 29.If x/4 + 8 = 11, what is x? (a) 76 (b) 3 (c) 36 (d) 12
  30. 30.If 4x + 12 = 2x + 18, what is x? (a) 4 (b) 15 (c) 1 (d) 3
  31. 31.If 5x + 21 = 51, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  32. 32.If 8x + 1 = 3x + 36, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  33. 33.If 4x + 5 = 57, what is x? (a) 14 (b) 12 (c) 52 (d) 13
  34. 34.If 5x − 37 = 13, what is x? (a) 11 (b) 10 (c) 50 (d) 9
  35. 35.If 3x − 17 = 7, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  36. 36.If x/6 + 1 = 6, what is x? (a) 30 (b) 5 (c) 42 (d) 35
  37. 37.If 6x + 6 = 36, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  38. 38.If 8x + 7 = 127, what is x? (a) 16 (b) 120 (c) 15 (d) 14
  39. 39.If 2x + 27 = 37, what is x? (a) 10 (b) 6 (c) 32 (d) 5
  40. 40.If 5x + 5 = 80, what is x? (a) 17 (b) 16 (c) 15 (d) 75

Answer key

  1. 13
  2. 2
  3. 8
  4. 8
  5. 7
  6. 10
  7. 13
  8. 4
  9. 13
  10. 10
  11. 8
  12. 6
  13. 13
  14. 4
  15. 60
  16. 7
  17. 4
  18. 12
  19. 7
  20. 10
  21. 3
  22. 7
  23. 6
  24. 27
  25. 6
  26. 14
  27. 11
  28. 3
  29. 12
  30. 3
  31. 6
  32. 7
  33. 13
  34. 10
  35. 8
  36. 30
  37. 5
  38. 15
  39. 5
  40. 15

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