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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 15 · 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 5x + 26 = 86, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  2. 2.If 8x − 2 = 78, what is x? (a) 10 (b) 9 (c) 80 (d) 11
  3. 3.If 6x − 42 = 24, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  4. 4.If 2x + 1 = 13, what is x? (a) 7 (b) 6 (c) 5 (d) 12
  5. 5.If 6x + 10 = x + 40, what is x? (a) 7 (b) 10 (c) 8 (d) 6
  6. 6.If 6x + 1 = 5x + 13, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  7. 7.If 9x + 7 = 7x + 19, what is x? (a) 6 (b) 7 (c) 13 (d) 8
  8. 8.If 6x + 14 = 5x + 18, what is x? (a) 5 (b) 4 (c) 6 (d) 32
  9. 9.If x/5 + 14 = 17, what is x? (a) 71 (b) 155 (c) 15 (d) 3
  10. 10.If 3x + 15 = 36, what is x? (a) 21 (b) 17 (c) 7 (d) 8
  11. 11.If 4x + 28 = 80, what is x? (a) 27 (b) 13 (c) 14 (d) 52
  12. 12.If 9x + 19 = 136, what is x? (a) 13 (b) 14 (c) 117 (d) 12
  13. 13.If 5x + 3 = 3x + 9, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  14. 14.If 7x − 9 = 12, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  15. 15.If 2x + 4 = 26, what is x? (a) 12 (b) 11 (c) 22 (d) 15
  16. 16.If 5x + 1 = 26, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  17. 17.If 2x + 21 = 27, what is x? (a) 24 (b) 6 (c) 3 (d) 4
  18. 18.If 6x + 8 = 92, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  19. 19.If 3x − 15 = 6, what is x? (a) 7 (b) 21 (c) 8 (d) 6
  20. 20.If 5x − 10 = 40, what is x? (a) 10 (b) 50 (c) 6 (d) 11
  21. 21.If 8x − 52 = 28, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  22. 22.If 4x + 1 = 25, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  23. 23.If 4x + 20 = x + 56, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  24. 24.If 5x + 26 = 96, what is x? (a) 15 (b) 14 (c) 13 (d) 70
  25. 25.If 9x − 14 = 103, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  26. 26.If 3x + 3 = 12, what is x? (a) 9 (b) 3 (c) 4 (d) 5
  27. 27.If 9x − 26 = 1, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  28. 28.If 9x + 11 = 5x + 59, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  29. 29.If 8x + 8 = 3x + 63, what is x? (a) 12 (b) 5 (c) 11 (d) 13
  30. 30.If 6x + 8 = 26, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  31. 31.If x/5 + 6 = 10, what is x? (a) 4 (b) 80 (c) 44 (d) 20
  32. 32.If 5x − 12 = 13, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  33. 33.If 9x − 17 = 64, what is x? (a) 8 (b) 10 (c) 9 (d) 81
  34. 34.If x/4 + 15 = 19, what is x? (a) 136 (b) 16 (c) 61 (d) 4
  35. 35.If 2x − 19 = 9, what is x? (a) 15 (b) 13 (c) 28 (d) 14
  36. 36.If 4x + 30 = 66, what is x? (a) 24 (b) 36 (c) 10 (d) 9
  37. 37.If 3x + 10 = x + 18, what is x? (a) 5 (b) 4 (c) 2 (d) 14
  38. 38.If 9x + 4 = 85, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  39. 39.If 4x + 20 = 3x + 32, what is x? (a) 12 (b) 14 (c) 52 (d) 13
  40. 40.If x/2 + 9 = 12, what is x? (a) 6 (b) 15 (c) 3 (d) 42

Answer key

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

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