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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 577 · 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 9x + 12 = 102, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  2. 2.If 9x + 18 = 2x + 39, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  3. 3.If x/2 + 3 = 13, what is x? (a) 32 (b) 20 (c) 23 (d) 10
  4. 4.If 8x + 11 = 7x + 23, what is x? (a) 12 (b) 34 (c) 14 (d) 13
  5. 5.If 5x + 4 = x + 28, what is x? (a) 7 (b) 8 (c) 6 (d) 4
  6. 6.If 9x − 9 = 9, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  7. 7.If 3x + 13 = x + 21, what is x? (a) 4 (b) 17 (c) 2 (d) 5
  8. 8.If 3x + 24 = 60, what is x? (a) 12 (b) 36 (c) 28 (d) 13
  9. 9.If x/5 + 12 = 16, what is x? (a) 4 (b) 20 (c) 68 (d) 140
  10. 10.If 5x + 19 = 34, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  11. 11.If 4x + 4 = 60, what is x? (a) 56 (b) 16 (c) 14 (d) 15
  12. 12.If 4x + 25 = 77, what is x? (a) 14 (b) 12 (c) 52 (d) 13
  13. 13.If x/6 + 4 = 15, what is x? (a) 66 (b) 86 (c) 114 (d) 11
  14. 14.If 4x − 7 = 5, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  15. 15.If x/2 + 14 = 17, what is x? (a) 3 (b) 62 (c) 20 (d) 6
  16. 16.If 3x + 28 = 52, what is x? (a) 7 (b) 24 (c) 8 (d) 9
  17. 17.If 5x + 29 = 89, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  18. 18.If 2x − 4 = 8, what is x? (a) 2 (b) 7 (c) 6 (d) 12
  19. 19.If 9x − 26 = 1, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  20. 20.If 5x + 15 = 3x + 29, what is x? (a) 22 (b) 8 (c) 7 (d) 9
  21. 21.If x/6 + 4 = 16, what is x? (a) 120 (b) 12 (c) 92 (d) 72
  22. 22.If x/3 + 15 = 19, what is x? (a) 42 (b) 4 (c) 12 (d) 102
  23. 23.If 3x − 1 = 11, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  24. 24.If 7x − 21 = 63, what is x? (a) 6 (b) 84 (c) 12 (d) 13
  25. 25.If x/6 + 6 = 9, what is x? (a) 48 (b) 3 (c) 18 (d) 90
  26. 26.If 8x + 9 = 73, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  27. 27.If x/3 + 10 = 20, what is x? (a) 30 (b) 50 (c) 10 (d) 90
  28. 28.If 6x + 12 = 90, what is x? (a) 17 (b) 14 (c) 78 (d) 13
  29. 29.If 8x + 16 = x + 72, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  30. 30.If 3x − 31 = 5, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  31. 31.If 7x + 15 = x + 21, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  32. 32.If 9x − 8 = 28, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  33. 33.If x/4 + 11 = 14, what is x? (a) 3 (b) 45 (c) 12 (d) 100
  34. 34.If 3x − 9 = 33, what is x? (a) 42 (b) 14 (c) 8 (d) 15
  35. 35.If x/6 + 11 = 16, what is x? (a) 162 (b) 85 (c) 30 (d) 5
  36. 36.If 4x + 9 = 25, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  37. 37.If 4x + 4 = 16, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  38. 38.If 4x + 8 = 2x + 26, what is x? (a) 9 (b) 10 (c) 17 (d) 3
  39. 39.If x/4 + 5 = 9, what is x? (a) 56 (b) 31 (c) 4 (d) 16
  40. 40.If 8x − 45 = 27, what is x? (a) 72 (b) 8 (c) 10 (d) 9

Answer key

  1. 10
  2. 3
  3. 20
  4. 12
  5. 6
  6. 2
  7. 4
  8. 12
  9. 20
  10. 3
  11. 14
  12. 13
  13. 66
  14. 3
  15. 6
  16. 8
  17. 12
  18. 6
  19. 3
  20. 7
  21. 72
  22. 12
  23. 4
  24. 12
  25. 18
  26. 8
  27. 30
  28. 13
  29. 8
  30. 12
  31. 1
  32. 4
  33. 12
  34. 14
  35. 30
  36. 4
  37. 3
  38. 9
  39. 16
  40. 9

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