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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 557 · 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 8x + 14 = 7x + 16, what is x? (a) 30 (b) 2 (c) 3 (d) 4
  2. 2.If x/3 + 15 = 20, what is x? (a) 45 (b) 105 (c) 5 (d) 15
  3. 3.If x/5 + 1 = 5, what is x? (a) 20 (b) 4 (c) 30 (d) 24
  4. 4.If 4x − 41 = 11, what is x? (a) 13 (b) 12 (c) 52 (d) 14
  5. 5.If 3x + 5 = 26, what is x? (a) 6 (b) 7 (c) 21 (d) 8
  6. 6.If 8x − 48 = 8, what is x? (a) 7 (b) 56 (c) 8 (d) 6
  7. 7.If 9x − 31 = 77, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  8. 8.If 5x + 22 = 62, what is x? (a) 40 (b) 9 (c) 7 (d) 8
  9. 9.If 6x − 41 = 19, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  10. 10.If 4x + 4 = x + 34, what is x? (a) 6 (b) 10 (c) 12 (d) 11
  11. 11.If 6x − 35 = 25, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  12. 12.If 3x + 11 = 29, what is x? (a) 6 (b) 7 (c) 5 (d) 18
  13. 13.If 3x + 6 = 2x + 14, what is x? (a) 10 (b) 9 (c) 20 (d) 8
  14. 14.If 5x + 5 = 20, what is x? (a) 5 (b) 15 (c) 3 (d) 4
  15. 15.If 7x − 6 = 8, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  16. 16.If 8x + 20 = 7x + 30, what is x? (a) 50 (b) 12 (c) 11 (d) 10
  17. 17.If 8x − 12 = 52, what is x? (a) 9 (b) 8 (c) 64 (d) 5
  18. 18.If 2x + 16 = 40, what is x? (a) 28 (b) 24 (c) 12 (d) 13
  19. 19.If x/2 + 4 = 9, what is x? (a) 14 (b) 26 (c) 5 (d) 10
  20. 20.If 4x + 11 = x + 35, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  21. 21.If 8x + 6 = x + 83, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  22. 22.If x/4 + 7 = 10, what is x? (a) 3 (b) 33 (c) 12 (d) 68
  23. 23.If 7x − 21 = 35, what is x? (a) 2 (b) 9 (c) 8 (d) 56
  24. 24.If x/5 + 12 = 18, what is x? (a) 30 (b) 78 (c) 6 (d) 150
  25. 25.If 9x + 9 = 5x + 25, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  26. 26.If 4x + 12 = 2x + 18, what is x? (a) 1 (b) 3 (c) 15 (d) 4
  27. 27.If x/3 + 3 = 10, what is x? (a) 21 (b) 27 (c) 39 (d) 7
  28. 28.If 9x − 1 = 17, what is x? (a) 2 (b) 1 (c) 3 (d) 18
  29. 29.If x/2 + 12 = 20, what is x? (a) 8 (b) 64 (c) 28 (d) 16
  30. 30.If 8x + 11 = 4x + 47, what is x? (a) 3 (b) 9 (c) 11 (d) 10
  31. 31.If x/5 + 13 = 19, what is x? (a) 6 (b) 160 (c) 82 (d) 30
  32. 32.If x/4 + 11 = 21, what is x? (a) 128 (b) 73 (c) 40 (d) 10
  33. 33.If x/3 + 8 = 11, what is x? (a) 25 (b) 9 (c) 57 (d) 3
  34. 34.If 3x + 4 = 2x + 13, what is x? (a) 17 (b) 11 (c) 9 (d) 10
  35. 35.If 8x − 66 = 54, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  36. 36.If 9x + 2 = 137, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  37. 37.If 4x + 1 = x + 37, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  38. 38.If 8x + 10 = 2x + 52, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  39. 39.If 7x + 14 = 42, what is x? (a) 28 (b) 5 (c) 8 (d) 4
  40. 40.If 3x − 6 = 21, what is x? (a) 27 (b) 9 (c) 5 (d) 10

Answer key

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

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