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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 38 · 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 + 10 = 19, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  2. 2.If 8x + 3 = 91, what is x? (a) 88 (b) 12 (c) 11 (d) 10
  3. 3.If x/3 + 8 = 12, what is x? (a) 28 (b) 12 (c) 60 (d) 4
  4. 4.If 8x + 1 = 7x + 7, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  5. 5.If 3x + 9 = 2x + 17, what is x? (a) 9 (b) 8 (c) 10 (d) 26
  6. 6.If x/2 + 9 = 20, what is x? (a) 58 (b) 11 (c) 22 (d) 31
  7. 7.If 7x + 14 = x + 56, what is x? (a) 7 (b) 8 (c) 6 (d) 9
  8. 8.If 3x − 2 = 22, what is x? (a) 24 (b) 9 (c) 8 (d) 7
  9. 9.If 7x + 12 = 5x + 36, what is x? (a) 24 (b) 12 (c) 2 (d) 13
  10. 10.If 6x + 8 = 5x + 18, what is x? (a) 26 (b) 11 (c) 12 (d) 10
  11. 11.If 6x + 16 = 100, what is x? (a) 15 (b) 84 (c) 14 (d) 13
  12. 12.If 4x − 12 = 36, what is x? (a) 12 (b) 48 (c) 6 (d) 13
  13. 13.If x/2 + 8 = 14, what is x? (a) 12 (b) 20 (c) 6 (d) 44
  14. 14.If 4x + 5 = 2x + 15, what is x? (a) 10 (b) 5 (c) 6 (d) 7
  15. 15.If 4x − 44 = 16, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  16. 16.If 5x − 18 = 12, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  17. 17.If 2x + 24 = 38, what is x? (a) 14 (b) 31 (c) 7 (d) 8
  18. 18.If x/5 + 7 = 18, what is x? (a) 55 (b) 11 (c) 125 (d) 83
  19. 19.If 3x + 17 = x + 27, what is x? (a) 22 (b) 5 (c) 7 (d) 6
  20. 20.If x/3 + 1 = 3, what is x? (a) 6 (b) 12 (c) 8 (d) 2
  21. 21.If 9x − 16 = 119, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  22. 22.If x/3 + 6 = 15, what is x? (a) 27 (b) 39 (c) 63 (d) 9
  23. 23.If 5x + 4 = 74, what is x? (a) 14 (b) 15 (c) 70 (d) 13
  24. 24.If 7x + 8 = 2x + 58, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  25. 25.If 4x + 6 = 66, what is x? (a) 60 (b) 16 (c) 18 (d) 15
  26. 26.If 3x − 4 = 14, what is x? (a) 6 (b) 7 (c) 18 (d) 5
  27. 27.If 4x + 14 = 66, what is x? (a) 14 (b) 52 (c) 20 (d) 13
  28. 28.If 6x + 18 = 84, what is x? (a) 11 (b) 17 (c) 12 (d) 66
  29. 29.If x/5 + 7 = 11, what is x? (a) 48 (b) 4 (c) 90 (d) 20
  30. 30.If 2x + 1 = 11, what is x? (a) 5 (b) 6 (c) 4 (d) 10
  31. 31.If 7x − 11 = 3, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  32. 32.If 8x + 29 = 133, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  33. 33.If 4x + 5 = 2x + 25, what is x? (a) 15 (b) 10 (c) 11 (d) 12
  34. 34.If x/4 + 10 = 19, what is x? (a) 66 (b) 36 (c) 116 (d) 9
  35. 35.If 8x − 94 = 2, what is x? (a) 13 (b) 12 (c) 11 (d) 96
  36. 36.If 8x + 1 = 73, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  37. 37.If 8x + 9 = 6x + 25, what is x? (a) 10 (b) 9 (c) 8 (d) 17
  38. 38.If 6x + 13 = 3x + 37, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  39. 39.If 8x − 8 = 8, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  40. 40.If 2x + 29 = 45, what is x? (a) 16 (b) 37 (c) 8 (d) 9

Answer key

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

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