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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 220 · 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 + 4 = 8, what is x? (a) 20 (b) 36 (c) 12 (d) 4
  2. 2.If x/6 + 12 = 14, what is x? (a) 12 (b) 2 (c) 72 (d) 156
  3. 3.If 6x − 13 = 41, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  4. 4.If 8x + 2 = 6x + 8, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  5. 5.If 6x + 15 = 51, what is x? (a) 36 (b) 7 (c) 6 (d) 11
  6. 6.If 3x + 19 = x + 27, what is x? (a) 5 (b) 2 (c) 23 (d) 4
  7. 7.If 8x − 31 = 9, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  8. 8.If 8x − 25 = 55, what is x? (a) 9 (b) 11 (c) 10 (d) 80
  9. 9.If x/2 + 11 = 22, what is x? (a) 66 (b) 33 (c) 22 (d) 11
  10. 10.If 6x + 6 = 24, what is x? (a) 5 (b) 4 (c) 18 (d) 3
  11. 11.If 7x − 24 = 60, what is x? (a) 13 (b) 12 (c) 84 (d) 11
  12. 12.If 9x + 20 = 110, what is x? (a) 11 (b) 90 (c) 10 (d) 9
  13. 13.If 7x − 44 = 26, what is x? (a) 9 (b) 10 (c) 11 (d) 70
  14. 14.If 8x − 38 = 26, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  15. 15.If x/3 + 12 = 21, what is x? (a) 9 (b) 51 (c) 99 (d) 27
  16. 16.If x/3 + 4 = 13, what is x? (a) 9 (b) 51 (c) 27 (d) 35
  17. 17.If x/3 + 3 = 14, what is x? (a) 39 (b) 33 (c) 51 (d) 11
  18. 18.If 4x − 24 = 16, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  19. 19.If 5x − 9 = 1, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  20. 20.If 4x + 10 = 3x + 12, what is x? (a) 3 (b) 4 (c) 22 (d) 2
  21. 21.If x/4 + 6 = 18, what is x? (a) 48 (b) 12 (c) 96 (d) 66
  22. 22.If 7x + 21 = 49, what is x? (a) 4 (b) 28 (c) 5 (d) 10
  23. 23.If 9x + 17 = 2x + 87, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  24. 24.If 8x − 3 = 13, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  25. 25.If 4x + 20 = x + 56, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  26. 26.If 9x + 25 = 97, what is x? (a) 7 (b) 8 (c) 9 (d) 72
  27. 27.If x/2 + 6 = 16, what is x? (a) 44 (b) 26 (c) 10 (d) 20
  28. 28.If 6x + 27 = 105, what is x? (a) 78 (b) 13 (c) 22 (d) 14
  29. 29.If 9x + 3 = 5x + 39, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  30. 30.If 9x + 16 = x + 24, what is x? (a) 2 (b) 5 (c) 1 (d) 3
  31. 31.If 6x + 18 = 102, what is x? (a) 14 (b) 20 (c) 15 (d) 84
  32. 32.If 6x + 16 = 70, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  33. 33.If 4x + 19 = 71, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  34. 34.If 8x + 4 = 28, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  35. 35.If x/2 + 8 = 15, what is x? (a) 22 (b) 14 (c) 46 (d) 7
  36. 36.If 2x + 20 = 36, what is x? (a) 28 (b) 9 (c) 8 (d) 16
  37. 37.If 9x + 11 = 2x + 18, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  38. 38.If x/5 + 6 = 18, what is x? (a) 12 (b) 84 (c) 60 (d) 120
  39. 39.If 4x + 4 = 36, what is x? (a) 9 (b) 32 (c) 8 (d) 10
  40. 40.If 4x − 30 = 10, what is x? (a) 9 (b) 40 (c) 10 (d) 11

Answer key

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

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