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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 129 · 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 + 2 = x + 16, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  2. 2.If 2x + 17 = 43, what is x? (a) 14 (b) 26 (c) 13 (d) 30
  3. 3.If x/4 + 12 = 16, what is x? (a) 112 (b) 52 (c) 16 (d) 4
  4. 4.If 3x + 5 = x + 11, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  5. 5.If 7x + 21 = 77, what is x? (a) 14 (b) 56 (c) 9 (d) 8
  6. 6.If 6x − 76 = 8, what is x? (a) 14 (b) 15 (c) 84 (d) 13
  7. 7.If x/5 + 4 = 15, what is x? (a) 95 (b) 11 (c) 55 (d) 71
  8. 8.If 6x + 20 = 4x + 44, what is x? (a) 32 (b) 13 (c) 14 (d) 12
  9. 9.If 6x + 12 = 48, what is x? (a) 10 (b) 36 (c) 6 (d) 7
  10. 10.If x/2 + 12 = 21, what is x? (a) 18 (b) 9 (c) 30 (d) 66
  11. 11.If 3x + 13 = x + 35, what is x? (a) 13 (b) 11 (c) 24 (d) 12
  12. 12.If 9x + 25 = 124, what is x? (a) 10 (b) 12 (c) 99 (d) 11
  13. 13.If x/4 + 1 = 12, what is x? (a) 11 (b) 44 (c) 47 (d) 52
  14. 14.If 8x + 5 = 6x + 13, what is x? (a) 9 (b) 4 (c) 5 (d) 6
  15. 15.If 5x + 19 = 2x + 22, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.If x/3 + 10 = 17, what is x? (a) 41 (b) 7 (c) 21 (d) 81
  17. 17.If 6x − 32 = 4, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  18. 18.If 7x − 20 = 85, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  19. 19.If x/4 + 14 = 18, what is x? (a) 58 (b) 4 (c) 128 (d) 16
  20. 20.If 9x + 8 = 7x + 28, what is x? (a) 10 (b) 11 (c) 18 (d) 12
  21. 21.If 6x − 1 = 11, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  22. 22.If x/3 + 2 = 10, what is x? (a) 28 (b) 8 (c) 24 (d) 36
  23. 23.If 3x + 14 = x + 38, what is x? (a) 12 (b) 13 (c) 6 (d) 26
  24. 24.If 6x + 9 = 99, what is x? (a) 90 (b) 15 (c) 16 (d) 18
  25. 25.If 6x − 10 = 32, what is x? (a) 42 (b) 6 (c) 7 (d) 8
  26. 26.If 8x + 6 = x + 13, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  27. 27.If 9x + 9 = 81, what is x? (a) 72 (b) 10 (c) 9 (d) 8
  28. 28.If 2x + 28 = 52, what is x? (a) 24 (b) 13 (c) 12 (d) 40
  29. 29.If x/6 + 1 = 12, what is x? (a) 66 (b) 11 (c) 71 (d) 78
  30. 30.If 4x + 13 = 29, what is x? (a) 16 (b) 3 (c) 4 (d) 5
  31. 31.If 9x − 15 = 12, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  32. 32.If 8x + 20 = 4x + 56, what is x? (a) 3 (b) 9 (c) 10 (d) 19
  33. 33.If x/5 + 5 = 17, what is x? (a) 60 (b) 12 (c) 80 (d) 110
  34. 34.If 4x + 3 = 11, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  35. 35.If 4x + 7 = 15, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  36. 36.If 4x + 20 = 3x + 28, what is x? (a) 8 (b) 48 (c) 10 (d) 9
  37. 37.If 4x + 5 = 2x + 25, what is x? (a) 12 (b) 11 (c) 15 (d) 10
  38. 38.If x/3 + 8 = 18, what is x? (a) 78 (b) 46 (c) 10 (d) 30
  39. 39.If 4x + 1 = 3x + 4, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  40. 40.If 5x + 27 = 37, what is x? (a) 3 (b) 2 (c) 1 (d) 10

Answer key

  1. 7
  2. 13
  3. 16
  4. 3
  5. 8
  6. 14
  7. 55
  8. 12
  9. 6
  10. 18
  11. 11
  12. 11
  13. 44
  14. 4
  15. 1
  16. 21
  17. 6
  18. 15
  19. 16
  20. 10
  21. 2
  22. 24
  23. 12
  24. 15
  25. 7
  26. 1
  27. 8
  28. 12
  29. 66
  30. 4
  31. 3
  32. 9
  33. 60
  34. 2
  35. 2
  36. 8
  37. 10
  38. 30
  39. 3
  40. 2

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