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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 164 · 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 3x + 12 = 2x + 20, what is x? (a) 10 (b) 32 (c) 8 (d) 9
  2. 2.If 6x + 2 = 5x + 5, what is x? (a) 4 (b) 7 (c) 5 (d) 3
  3. 3.If 8x + 6 = 4x + 50, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  4. 4.If 4x + 17 = 65, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  5. 5.If x/3 + 9 = 14, what is x? (a) 33 (b) 69 (c) 15 (d) 5
  6. 6.If 2x − 16 = 2, what is x? (a) 18 (b) 9 (c) 10 (d) 8
  7. 7.If x/6 + 3 = 13, what is x? (a) 96 (b) 10 (c) 60 (d) 75
  8. 8.If x/2 + 10 = 13, what is x? (a) 3 (b) 16 (c) 6 (d) 46
  9. 9.If 6x + 25 = 49, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  10. 10.If 5x + 7 = 3x + 15, what is x? (a) 11 (b) 4 (c) 1 (d) 5
  11. 11.If x/6 + 15 = 17, what is x? (a) 2 (b) 87 (c) 12 (d) 192
  12. 12.If 9x − 4 = 14, what is x? (a) 2 (b) 1 (c) 3 (d) 18
  13. 13.If 3x + 24 = 54, what is x? (a) 26 (b) 10 (c) 11 (d) 30
  14. 14.If 6x + 14 = x + 59, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  15. 15.If x/2 + 1 = 11, what is x? (a) 10 (b) 24 (c) 21 (d) 20
  16. 16.If x/3 + 1 = 11, what is x? (a) 32 (b) 36 (c) 10 (d) 30
  17. 17.If 4x + 9 = 3x + 12, what is x? (a) 5 (b) 3 (c) 4 (d) 21
  18. 18.If x/2 + 14 = 22, what is x? (a) 72 (b) 30 (c) 8 (d) 16
  19. 19.If 3x + 2 = x + 24, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  20. 20.If 2x + 3 = 13, what is x? (a) 8 (b) 6 (c) 5 (d) 10
  21. 21.If 7x − 53 = 10, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  22. 22.If x/3 + 4 = 8, what is x? (a) 4 (b) 36 (c) 20 (d) 12
  23. 23.If 5x + 26 = 41, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  24. 24.If 8x − 90 = 30, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  25. 25.If 7x + 12 = 47, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  26. 26.If x/2 + 8 = 19, what is x? (a) 11 (b) 22 (c) 30 (d) 54
  27. 27.If x/2 + 15 = 22, what is x? (a) 74 (b) 7 (c) 29 (d) 14
  28. 28.If 9x + 8 = 7x + 18, what is x? (a) 13 (b) 7 (c) 6 (d) 5
  29. 29.If 6x + 17 = 29, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  30. 30.If x/6 + 12 = 16, what is x? (a) 4 (b) 168 (c) 24 (d) 84
  31. 31.If 9x + 26 = 62, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  32. 32.If 8x + 17 = 4x + 45, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  33. 33.If 3x + 27 = 57, what is x? (a) 30 (b) 11 (c) 10 (d) 28
  34. 34.If 6x + 1 = x + 51, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  35. 35.If 3x + 2 = 8, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  36. 36.If x/4 + 7 = 19, what is x? (a) 69 (b) 104 (c) 48 (d) 12
  37. 37.If 8x + 12 = 76, what is x? (a) 11 (b) 64 (c) 8 (d) 9
  38. 38.If x/6 + 2 = 7, what is x? (a) 54 (b) 5 (c) 40 (d) 30
  39. 39.If 8x − 35 = 21, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  40. 40.If 4x + 2 = 46, what is x? (a) 11 (b) 12 (c) 10 (d) 44

Answer key

  1. 8
  2. 3
  3. 11
  4. 12
  5. 15
  6. 9
  7. 60
  8. 6
  9. 4
  10. 4
  11. 12
  12. 2
  13. 10
  14. 9
  15. 20
  16. 30
  17. 3
  18. 16
  19. 11
  20. 5
  21. 9
  22. 12
  23. 3
  24. 15
  25. 5
  26. 22
  27. 14
  28. 5
  29. 2
  30. 24
  31. 4
  32. 7
  33. 10
  34. 10
  35. 2
  36. 48
  37. 8
  38. 30
  39. 7
  40. 11

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