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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 330 · 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/2 + 9 = 20, what is x? (a) 31 (b) 22 (c) 11 (d) 58
  2. 2.If 3x + 3 = 9, what is x? (a) 3 (b) 6 (c) 4 (d) 2
  3. 3.If x/6 + 5 = 16, what is x? (a) 91 (b) 126 (c) 11 (d) 66
  4. 4.If x/5 + 10 = 16, what is x? (a) 30 (b) 6 (c) 130 (d) 70
  5. 5.If 7x + 12 = 4x + 42, what is x? (a) 18 (b) 10 (c) 12 (d) 11
  6. 6.If 9x + 10 = 8x + 18, what is x? (a) 8 (b) 9 (c) 28 (d) 10
  7. 7.If x/5 + 5 = 14, what is x? (a) 9 (b) 95 (c) 65 (d) 45
  8. 8.If 9x + 20 = 137, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  9. 9.If 8x + 20 = 140, what is x? (a) 16 (b) 120 (c) 20 (d) 15
  10. 10.If x/4 + 10 = 20, what is x? (a) 40 (b) 120 (c) 70 (d) 10
  11. 11.If x/6 + 1 = 11, what is x? (a) 72 (b) 60 (c) 10 (d) 65
  12. 12.If 6x + 5 = 53, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  13. 13.If x/3 + 3 = 13, what is x? (a) 10 (b) 36 (c) 30 (d) 48
  14. 14.If 8x − 10 = 38, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  15. 15.If 6x − 24 = 36, what is x? (a) 60 (b) 2 (c) 10 (d) 11
  16. 16.If 6x + 3 = 63, what is x? (a) 11 (b) 60 (c) 9 (d) 10
  17. 17.If 8x + 15 = 3x + 35, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  18. 18.If 2x − 16 = 6, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  19. 19.If 6x + 5 = 77, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  20. 20.If x/2 + 3 = 7, what is x? (a) 4 (b) 11 (c) 20 (d) 8
  21. 21.If 8x + 11 = 51, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  22. 22.If x/2 + 7 = 11, what is x? (a) 4 (b) 15 (c) 36 (d) 8
  23. 23.If 3x − 21 = 3, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  24. 24.If 4x + 13 = 25, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  25. 25.If x/4 + 3 = 13, what is x? (a) 64 (b) 40 (c) 49 (d) 10
  26. 26.If 2x − 10 = 8, what is x? (a) 8 (b) 18 (c) 10 (d) 9
  27. 27.If 9x + 8 = 6x + 23, what is x? (a) 1 (b) 7 (c) 5 (d) 6
  28. 28.If 9x + 10 = 6x + 28, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  29. 29.If 6x + 18 = 36, what is x? (a) 18 (b) 9 (c) 4 (d) 3
  30. 30.If 6x + 11 = 3x + 23, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  31. 31.If 7x + 20 = 55, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  32. 32.If 7x − 3 = 39, what is x? (a) 7 (b) 42 (c) 6 (d) 5
  33. 33.If 7x + 1 = 2x + 6, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.If x/3 + 15 = 18, what is x? (a) 39 (b) 3 (c) 9 (d) 99
  35. 35.If 5x − 20 = 20, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  36. 36.If 4x + 18 = 2x + 38, what is x? (a) 12 (b) 11 (c) 28 (d) 10
  37. 37.If 4x − 1 = 11, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  38. 38.If x/4 + 14 = 23, what is x? (a) 148 (b) 9 (c) 36 (d) 78
  39. 39.If x/2 + 6 = 8, what is x? (a) 10 (b) 4 (c) 28 (d) 2
  40. 40.If 3x + 10 = 25, what is x? (a) 5 (b) 15 (c) 4 (d) 6

Answer key

  1. 22
  2. 2
  3. 66
  4. 30
  5. 10
  6. 8
  7. 45
  8. 13
  9. 15
  10. 40
  11. 60
  12. 8
  13. 30
  14. 6
  15. 10
  16. 10
  17. 4
  18. 11
  19. 12
  20. 8
  21. 5
  22. 8
  23. 8
  24. 3
  25. 40
  26. 9
  27. 5
  28. 6
  29. 3
  30. 4
  31. 5
  32. 6
  33. 1
  34. 9
  35. 8
  36. 10
  37. 3
  38. 36
  39. 4
  40. 5

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