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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 484 · 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 + 1 = 3x + 11, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  2. 2.If 5x + 29 = 64, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  3. 3.If 4x + 11 = 19, what is x? (a) 8 (b) 3 (c) 1 (d) 2
  4. 4.If x/6 + 4 = 10, what is x? (a) 56 (b) 84 (c) 36 (d) 6
  5. 5.If 9x + 5 = 95, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  6. 6.If 8x − 8 = 8, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  7. 7.If 4x + 18 = x + 27, what is x? (a) 5 (b) 3 (c) 4 (d) 15
  8. 8.If x/6 + 6 = 10, what is x? (a) 4 (b) 96 (c) 54 (d) 24
  9. 9.If 7x + 11 = 6x + 15, what is x? (a) 5 (b) 26 (c) 4 (d) 6
  10. 10.If 5x − 35 = 25, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  11. 11.If x/2 + 11 = 18, what is x? (a) 25 (b) 7 (c) 58 (d) 14
  12. 12.If 2x − 23 = 3, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  13. 13.If 7x − 7 = 7, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  14. 14.If 4x + 10 = 54, what is x? (a) 12 (b) 44 (c) 16 (d) 11
  15. 15.If x/5 + 4 = 14, what is x? (a) 90 (b) 66 (c) 50 (d) 10
  16. 16.If 2x + 3 = 19, what is x? (a) 11 (b) 9 (c) 16 (d) 8
  17. 17.If 5x + 6 = 41, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  18. 18.If 5x − 2 = 68, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  19. 19.If 5x − 8 = 57, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  20. 20.If x/6 + 4 = 9, what is x? (a) 78 (b) 5 (c) 50 (d) 30
  21. 21.If 7x + 27 = 76, what is x? (a) 8 (b) 6 (c) 49 (d) 7
  22. 22.If 8x + 7 = 7x + 12, what is x? (a) 19 (b) 7 (c) 6 (d) 5
  23. 23.If 4x + 4 = 36, what is x? (a) 32 (b) 10 (c) 8 (d) 9
  24. 24.If x/6 + 7 = 15, what is x? (a) 8 (b) 48 (c) 132 (d) 83
  25. 25.If x/2 + 1 = 7, what is x? (a) 16 (b) 6 (c) 12 (d) 13
  26. 26.If x/3 + 2 = 13, what is x? (a) 45 (b) 11 (c) 37 (d) 33
  27. 27.If 4x + 10 = 30, what is x? (a) 6 (b) 10 (c) 5 (d) 20
  28. 28.If x/4 + 10 = 18, what is x? (a) 62 (b) 112 (c) 32 (d) 8
  29. 29.If 2x − 9 = 7, what is x? (a) 9 (b) 8 (c) 16 (d) 7
  30. 30.If 2x − 7 = 9, what is x? (a) 8 (b) 1 (c) 9 (d) 16
  31. 31.If 8x − 4 = 20, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  32. 32.If 8x + 10 = x + 17, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  33. 33.If 3x − 2 = 10, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  34. 34.If 3x + 10 = 2x + 19, what is x? (a) 29 (b) 10 (c) 9 (d) 11
  35. 35.If 9x − 73 = 35, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  36. 36.If 6x + 10 = 3x + 13, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  37. 37.If 6x + 7 = 43, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  38. 38.If 3x − 10 = 2, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  39. 39.If 3x + 18 = x + 20, what is x? (a) 3 (b) 2 (c) 19 (d) 1
  40. 40.If 9x + 8 = 116, what is x? (a) 13 (b) 108 (c) 12 (d) 11

Answer key

  1. 5
  2. 7
  3. 2
  4. 36
  5. 10
  6. 2
  7. 3
  8. 24
  9. 4
  10. 12
  11. 14
  12. 13
  13. 2
  14. 11
  15. 50
  16. 8
  17. 7
  18. 14
  19. 13
  20. 30
  21. 7
  22. 5
  23. 8
  24. 48
  25. 12
  26. 33
  27. 5
  28. 32
  29. 8
  30. 8
  31. 3
  32. 1
  33. 4
  34. 9
  35. 12
  36. 1
  37. 6
  38. 4
  39. 1
  40. 12

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