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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 729 · 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 x/4 + 10 = 20, what is x? (a) 70 (b) 10 (c) 120 (d) 40
  2. 2.If 9x + 12 = 5x + 60, what is x? (a) 18 (b) 12 (c) 13 (d) 14
  3. 3.If x/2 + 7 = 14, what is x? (a) 42 (b) 7 (c) 14 (d) 21
  4. 4.If 2x + 24 = 52, what is x? (a) 38 (b) 28 (c) 14 (d) 15
  5. 5.If 3x + 25 = 61, what is x? (a) 12 (b) 36 (c) 11 (d) 13
  6. 6.If 2x − 2 = 12, what is x? (a) 8 (b) 5 (c) 14 (d) 7
  7. 7.If 2x + 4 = 10, what is x? (a) 7 (b) 6 (c) 4 (d) 3
  8. 8.If 3x − 38 = 1, what is x? (a) 12 (b) 14 (c) 13 (d) 39
  9. 9.If x/6 + 14 = 25, what is x? (a) 11 (b) 136 (c) 234 (d) 66
  10. 10.If 3x + 10 = x + 14, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  11. 11.If 5x + 30 = 90, what is x? (a) 24 (b) 13 (c) 12 (d) 60
  12. 12.If 6x + 5 = 83, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  13. 13.If x/4 + 10 = 17, what is x? (a) 28 (b) 108 (c) 7 (d) 58
  14. 14.If 3x + 19 = x + 31, what is x? (a) 3 (b) 25 (c) 7 (d) 6
  15. 15.If 3x + 4 = 46, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  16. 16.If 9x + 6 = 141, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  17. 17.If 7x + 25 = 53, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  18. 18.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  19. 19.If 5x − 9 = 46, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  20. 20.If x/6 + 4 = 7, what is x? (a) 18 (b) 38 (c) 66 (d) 3
  21. 21.If 4x + 21 = 49, what is x? (a) 6 (b) 28 (c) 8 (d) 7
  22. 22.If 3x + 3 = x + 9, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  23. 23.If x/6 + 15 = 23, what is x? (a) 8 (b) 48 (c) 123 (d) 228
  24. 24.If 3x − 13 = 14, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  25. 25.If 3x − 2 = 22, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  26. 26.If 4x + 5 = x + 41, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  27. 27.If x/5 + 1 = 9, what is x? (a) 8 (b) 40 (c) 50 (d) 44
  28. 28.If 3x + 28 = 73, what is x? (a) 15 (b) 14 (c) 45 (d) 16
  29. 29.If 8x + 6 = 3x + 61, what is x? (a) 13 (b) 11 (c) 12 (d) 5
  30. 30.If 8x + 2 = 98, what is x? (a) 11 (b) 13 (c) 96 (d) 12
  31. 31.If x/3 + 14 = 26, what is x? (a) 120 (b) 36 (c) 64 (d) 12
  32. 32.If 2x + 25 = 41, what is x? (a) 9 (b) 8 (c) 16 (d) 33
  33. 33.If x/3 + 7 = 11, what is x? (a) 4 (b) 54 (c) 12 (d) 26
  34. 34.If 2x − 7 = 3, what is x? (a) 6 (b) 10 (c) 4 (d) 5
  35. 35.If 4x + 3 = x + 12, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  36. 36.If 8x + 20 = 2x + 38, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  37. 37.If 5x + 6 = 56, what is x? (a) 11 (b) 9 (c) 50 (d) 10
  38. 38.If 3x + 29 = 38, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  39. 39.If 6x + 16 = 3x + 52, what is x? (a) 14 (b) 4 (c) 13 (d) 12
  40. 40.If 8x + 16 = 2x + 70, what is x? (a) 9 (b) 11 (c) 10 (d) 8

Answer key

  1. 40
  2. 12
  3. 14
  4. 14
  5. 12
  6. 7
  7. 3
  8. 13
  9. 66
  10. 2
  11. 12
  12. 13
  13. 28
  14. 6
  15. 14
  16. 15
  17. 4
  18. 2
  19. 11
  20. 18
  21. 7
  22. 3
  23. 48
  24. 9
  25. 8
  26. 12
  27. 40
  28. 15
  29. 11
  30. 12
  31. 36
  32. 8
  33. 12
  34. 5
  35. 3
  36. 3
  37. 10
  38. 3
  39. 12
  40. 9

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