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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 544 · 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 + 18 = 60, what is x? (a) 15 (b) 14 (c) 26 (d) 42
  2. 2.If x/6 + 13 = 22, what is x? (a) 119 (b) 54 (c) 9 (d) 210
  3. 3.If 3x + 5 = 2x + 8, what is x? (a) 4 (b) 5 (c) 13 (d) 3
  4. 4.If 3x − 26 = 19, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  5. 5.If 6x + 30 = 48, what is x? (a) 3 (b) 18 (c) 13 (d) 4
  6. 6.If 6x − 4 = 32, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  7. 7.If x/4 + 3 = 5, what is x? (a) 8 (b) 32 (c) 17 (d) 2
  8. 8.If 4x + 5 = 2x + 17, what is x? (a) 7 (b) 6 (c) 11 (d) 2
  9. 9.If 9x + 11 = 6x + 23, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  10. 10.If x/3 + 13 = 17, what is x? (a) 4 (b) 90 (c) 38 (d) 12
  11. 11.If 7x + 1 = 2x + 31, what is x? (a) 8 (b) 6 (c) 7 (d) 5
  12. 12.If 3x + 19 = 52, what is x? (a) 10 (b) 33 (c) 12 (d) 11
  13. 13.If 5x + 22 = 47, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  14. 14.If 5x + 21 = 76, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  15. 15.If 7x + 4 = 53, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  16. 16.If 2x − 10 = 14, what is x? (a) 12 (b) 13 (c) 24 (d) 2
  17. 17.If 7x − 33 = 2, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  18. 18.If x/5 + 14 = 19, what is x? (a) 5 (b) 25 (c) 81 (d) 165
  19. 19.If 9x − 51 = 30, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  20. 20.If 9x + 2 = 5x + 10, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  21. 21.If x/6 + 1 = 9, what is x? (a) 8 (b) 53 (c) 48 (d) 60
  22. 22.If 3x − 15 = 15, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  23. 23.If 4x − 18 = 22, what is x? (a) 11 (b) 1 (c) 10 (d) 40
  24. 24.If 4x + 5 = 29, what is x? (a) 7 (b) 5 (c) 6 (d) 24
  25. 25.If 8x − 10 = 38, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  26. 26.If 5x + 1 = 4x + 5, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  27. 27.If 3x − 30 = 3, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  28. 28.If x/6 + 6 = 8, what is x? (a) 2 (b) 12 (c) 84 (d) 42
  29. 29.If 6x + 10 = 94, what is x? (a) 13 (b) 14 (c) 84 (d) 15
  30. 30.If 2x − 2 = 2, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  31. 31.If x/6 + 14 = 17, what is x? (a) 3 (b) 18 (c) 88 (d) 186
  32. 32.If 4x + 8 = 2x + 32, what is x? (a) 4 (b) 13 (c) 20 (d) 12
  33. 33.If 7x + 5 = 6x + 11, what is x? (a) 7 (b) 6 (c) 16 (d) 8
  34. 34.If 4x + 8 = 2x + 18, what is x? (a) 13 (b) 6 (c) 7 (d) 5
  35. 35.If 9x + 10 = 82, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  36. 36.If 7x − 2 = 12, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  37. 37.If 8x − 11 = 13, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  38. 38.If x/4 + 12 = 15, what is x? (a) 3 (b) 48 (c) 108 (d) 12
  39. 39.If 5x + 11 = 61, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  40. 40.If 6x + 11 = 77, what is x? (a) 12 (b) 10 (c) 11 (d) 66

Answer key

  1. 14
  2. 54
  3. 3
  4. 15
  5. 3
  6. 6
  7. 8
  8. 6
  9. 4
  10. 12
  11. 6
  12. 11
  13. 5
  14. 11
  15. 7
  16. 12
  17. 5
  18. 25
  19. 9
  20. 2
  21. 48
  22. 10
  23. 10
  24. 6
  25. 6
  26. 4
  27. 11
  28. 12
  29. 14
  30. 2
  31. 18
  32. 12
  33. 6
  34. 5
  35. 8
  36. 2
  37. 3
  38. 12
  39. 10
  40. 11

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