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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 828 · 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 7x + 19 = 124, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  2. 2.If x/5 + 5 = 10, what is x? (a) 75 (b) 5 (c) 25 (d) 45
  3. 3.If 9x + 12 = 57, what is x? (a) 4 (b) 6 (c) 45 (d) 5
  4. 4.If 4x + 4 = 2x + 12, what is x? (a) 5 (b) 6 (c) 8 (d) 4
  5. 5.If 8x − 39 = 73, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  6. 6.If x/4 + 13 = 19, what is x? (a) 63 (b) 6 (c) 24 (d) 128
  7. 7.If 6x − 11 = 1, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  8. 8.If x/2 + 9 = 11, what is x? (a) 2 (b) 40 (c) 4 (d) 13
  9. 9.If 5x + 16 = 76, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  10. 10.If x/2 + 9 = 16, what is x? (a) 14 (b) 7 (c) 23 (d) 50
  11. 11.If 8x + 4 = 4x + 52, what is x? (a) 4 (b) 12 (c) 14 (d) 13
  12. 12.If 8x + 13 = 6x + 35, what is x? (a) 24 (b) 12 (c) 13 (d) 11
  13. 13.If 7x + 19 = 54, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  14. 14.If 8x + 24 = 64, what is x? (a) 11 (b) 6 (c) 5 (d) 40
  15. 15.If 7x − 5 = 16, what is x? (a) 3 (b) 2 (c) 4 (d) 21
  16. 16.If x/4 + 15 = 20, what is x? (a) 140 (b) 20 (c) 65 (d) 5
  17. 17.If 2x − 5 = 3, what is x? (a) 8 (b) 4 (c) 3 (d) 5
  18. 18.If 9x + 14 = 8x + 18, what is x? (a) 5 (b) 32 (c) 6 (d) 4
  19. 19.If 6x − 18 = 24, what is x? (a) 42 (b) 7 (c) 8 (d) 1
  20. 20.If 5x + 13 = x + 33, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  21. 21.If 4x + 22 = 42, what is x? (a) 16 (b) 6 (c) 5 (d) 20
  22. 22.If 4x + 22 = 74, what is x? (a) 13 (b) 24 (c) 52 (d) 14
  23. 23.If x/2 + 8 = 18, what is x? (a) 52 (b) 28 (c) 10 (d) 20
  24. 24.If 6x + 29 = 83, what is x? (a) 8 (b) 54 (c) 9 (d) 10
  25. 25.If x/5 + 7 = 16, what is x? (a) 45 (b) 9 (c) 115 (d) 73
  26. 26.If 3x + 3 = 30, what is x? (a) 10 (b) 27 (c) 9 (d) 11
  27. 27.If 3x + 16 = 43, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  28. 28.If 4x + 22 = 50, what is x? (a) 28 (b) 8 (c) 7 (d) 18
  29. 29.If 5x − 12 = 8, what is x? (a) 4 (b) 5 (c) 3 (d) 20
  30. 30.If x/6 + 3 = 8, what is x? (a) 45 (b) 30 (c) 5 (d) 66
  31. 31.If 5x + 10 = 40, what is x? (a) 7 (b) 10 (c) 6 (d) 30
  32. 32.If 2x − 3 = 3, what is x? (a) 2 (b) 6 (c) 4 (d) 3
  33. 33.If x/4 + 1 = 11, what is x? (a) 40 (b) 43 (c) 10 (d) 48
  34. 34.If 3x + 16 = 52, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  35. 35.If 5x + 27 = 82, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  36. 36.If x/6 + 3 = 15, what is x? (a) 72 (b) 12 (c) 108 (d) 87
  37. 37.If x/5 + 3 = 14, what is x? (a) 11 (b) 85 (c) 55 (d) 67
  38. 38.If 8x + 10 = 74, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  39. 39.If x/2 + 6 = 18, what is x? (a) 48 (b) 24 (c) 30 (d) 12
  40. 40.If 5x + 30 = 40, what is x? (a) 10 (b) 14 (c) 2 (d) 3

Answer key

  1. 15
  2. 25
  3. 5
  4. 4
  5. 14
  6. 24
  7. 2
  8. 4
  9. 12
  10. 14
  11. 12
  12. 11
  13. 5
  14. 5
  15. 3
  16. 20
  17. 4
  18. 4
  19. 7
  20. 5
  21. 5
  22. 13
  23. 20
  24. 9
  25. 45
  26. 9
  27. 9
  28. 7
  29. 4
  30. 30
  31. 6
  32. 3
  33. 40
  34. 12
  35. 11
  36. 72
  37. 55
  38. 8
  39. 24
  40. 2

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