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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 409 · 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 4x + 3 = 23, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  2. 2.If 8x − 5 = 35, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  3. 3.If 5x − 7 = 23, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  4. 4.If 5x − 4 = 56, what is x? (a) 12 (b) 13 (c) 60 (d) 11
  5. 5.If 2x − 9 = 3, what is x? (a) 7 (b) 6 (c) 5 (d) 12
  6. 6.If 9x − 42 = 12, what is x? (a) 7 (b) 5 (c) 6 (d) 54
  7. 7.If 7x − 45 = 11, what is x? (a) 9 (b) 8 (c) 56 (d) 7
  8. 8.If 6x − 17 = 13, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  9. 9.If 6x + 29 = 65, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  10. 10.If x/3 + 12 = 14, what is x? (a) 30 (b) 2 (c) 6 (d) 78
  11. 11.If 9x + 2 = 20, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  12. 12.If 8x + 12 = 68, what is x? (a) 8 (b) 56 (c) 10 (d) 7
  13. 13.If 9x − 32 = 49, what is x? (a) 10 (b) 9 (c) 81 (d) 8
  14. 14.If x/5 + 12 = 17, what is x? (a) 5 (b) 73 (c) 145 (d) 25
  15. 15.If 6x + 19 = 67, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  16. 16.If 6x + 1 = 3x + 22, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  17. 17.If 3x + 20 = 56, what is x? (a) 36 (b) 11 (c) 13 (d) 12
  18. 18.If 5x + 1 = 26, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  19. 19.If x/3 + 4 = 13, what is x? (a) 27 (b) 9 (c) 51 (d) 35
  20. 20.If x/5 + 8 = 18, what is x? (a) 130 (b) 82 (c) 50 (d) 10
  21. 21.If x/6 + 11 = 22, what is x? (a) 198 (b) 11 (c) 66 (d) 121
  22. 22.If 9x + 24 = 141, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  23. 23.If 2x − 2 = 12, what is x? (a) 14 (b) 8 (c) 7 (d) 5
  24. 24.If 6x + 19 = 61, what is x? (a) 8 (b) 6 (c) 7 (d) 42
  25. 25.If 9x − 28 = 17, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  26. 26.If x/6 + 7 = 16, what is x? (a) 9 (b) 89 (c) 54 (d) 138
  27. 27.If x/2 + 9 = 13, what is x? (a) 17 (b) 4 (c) 44 (d) 8
  28. 28.If 3x − 8 = 1, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  29. 29.If x/2 + 10 = 12, what is x? (a) 44 (b) 2 (c) 4 (d) 14
  30. 30.If 4x + 4 = 44, what is x? (a) 11 (b) 10 (c) 12 (d) 40
  31. 31.If x/6 + 12 = 18, what is x? (a) 96 (b) 6 (c) 36 (d) 180
  32. 32.If 3x − 3 = 18, what is x? (a) 21 (b) 5 (c) 8 (d) 7
  33. 33.If 9x + 12 = 6x + 36, what is x? (a) 9 (b) 10 (c) 16 (d) 8
  34. 34.If 4x + 18 = 30, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  35. 35.If x/3 + 15 = 18, what is x? (a) 9 (b) 99 (c) 39 (d) 3
  36. 36.If x/5 + 15 = 19, what is x? (a) 80 (b) 170 (c) 20 (d) 4
  37. 37.If 9x + 4 = 5x + 8, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  38. 38.If 4x + 15 = 3x + 17, what is x? (a) 32 (b) 4 (c) 3 (d) 2
  39. 39.If 3x − 17 = 10, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  40. 40.If 9x − 11 = 16, what is x? (a) 27 (b) 4 (c) 2 (d) 3

Answer key

  1. 5
  2. 5
  3. 6
  4. 12
  5. 6
  6. 6
  7. 8
  8. 5
  9. 6
  10. 6
  11. 2
  12. 7
  13. 9
  14. 25
  15. 8
  16. 7
  17. 12
  18. 5
  19. 27
  20. 50
  21. 66
  22. 13
  23. 7
  24. 7
  25. 5
  26. 54
  27. 8
  28. 3
  29. 4
  30. 10
  31. 36
  32. 7
  33. 8
  34. 3
  35. 9
  36. 20
  37. 1
  38. 2
  39. 9
  40. 3

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