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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 408 · 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/3 + 2 = 8, what is x? (a) 6 (b) 30 (c) 18 (d) 22
  2. 2.If x/3 + 7 = 19, what is x? (a) 36 (b) 12 (c) 78 (d) 50
  3. 3.If 5x − 4 = 31, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  4. 4.If 3x − 8 = 19, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  5. 5.If x/3 + 8 = 20, what is x? (a) 12 (b) 52 (c) 36 (d) 84
  6. 6.If 6x + 5 = 2x + 37, what is x? (a) 10 (b) 4 (c) 9 (d) 8
  7. 7.If 3x − 7 = 20, what is x? (a) 9 (b) 27 (c) 10 (d) 8
  8. 8.If x/3 + 15 = 17, what is x? (a) 2 (b) 96 (c) 6 (d) 36
  9. 9.If x/3 + 14 = 22, what is x? (a) 24 (b) 108 (c) 52 (d) 8
  10. 10.If x/2 + 7 = 18, what is x? (a) 11 (b) 29 (c) 22 (d) 50
  11. 11.If x/5 + 10 = 18, what is x? (a) 140 (b) 40 (c) 8 (d) 80
  12. 12.If x/5 + 10 = 14, what is x? (a) 60 (b) 20 (c) 120 (d) 4
  13. 13.If 9x + 11 = 5x + 47, what is x? (a) 9 (b) 8 (c) 10 (d) 11
  14. 14.If 7x + 30 = 58, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  15. 15.If 2x − 1 = 5, what is x? (a) 2 (b) 6 (c) 4 (d) 3
  16. 16.If 3x − 1 = 8, what is x? (a) 3 (b) 9 (c) 2 (d) 4
  17. 17.If 6x + 16 = 4x + 34, what is x? (a) 9 (b) 11 (c) 25 (d) 10
  18. 18.If 4x + 27 = 51, what is x? (a) 5 (b) 6 (c) 7 (d) 24
  19. 19.If 8x + 19 = 115, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  20. 20.If 2x + 3 = 29, what is x? (a) 26 (b) 13 (c) 16 (d) 14
  21. 21.If 8x + 22 = 54, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  22. 22.If x/4 + 9 = 14, what is x? (a) 5 (b) 20 (c) 47 (d) 92
  23. 23.If 2x − 5 = 11, what is x? (a) 3 (b) 8 (c) 9 (d) 16
  24. 24.If 4x + 30 = 42, what is x? (a) 4 (b) 3 (c) 18 (d) 12
  25. 25.If 2x − 19 = 7, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  26. 26.If 9x + 1 = 109, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  27. 27.If 2x − 2 = 8, what is x? (a) 6 (b) 5 (c) 3 (d) 10
  28. 28.If x/4 + 8 = 10, what is x? (a) 32 (b) 8 (c) 72 (d) 2
  29. 29.If 3x + 18 = x + 42, what is x? (a) 13 (b) 12 (c) 30 (d) 6
  30. 30.If x/2 + 11 = 15, what is x? (a) 4 (b) 19 (c) 8 (d) 52
  31. 31.If 3x + 26 = 41, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  32. 32.If 8x − 45 = 27, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  33. 33.If 4x + 26 = 62, what is x? (a) 10 (b) 36 (c) 22 (d) 9
  34. 34.If 5x + 15 = 3x + 25, what is x? (a) 7 (b) 5 (c) 6 (d) 20
  35. 35.If 3x + 28 = 34, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  36. 36.If 8x − 7 = 25, what is x? (a) 4 (b) 3 (c) 32 (d) 5
  37. 37.If 5x + 14 = x + 22, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  38. 38.If 6x + 22 = 52, what is x? (a) 5 (b) 30 (c) 4 (d) 6
  39. 39.If 3x + 2 = 26, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  40. 40.If 2x + 26 = 44, what is x? (a) 18 (b) 35 (c) 10 (d) 9

Answer key

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

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