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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 185 · 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/4 + 8 = 19, what is x? (a) 11 (b) 68 (c) 44 (d) 108
  2. 2.If 4x − 3 = 9, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  3. 3.If 3x + 18 = x + 20, what is x? (a) 3 (b) 19 (c) 1 (d) 2
  4. 4.If x/6 + 11 = 16, what is x? (a) 30 (b) 85 (c) 5 (d) 162
  5. 5.If 3x − 13 = 32, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  6. 6.If 2x − 2 = 16, what is x? (a) 18 (b) 7 (c) 10 (d) 9
  7. 7.If x/3 + 4 = 7, what is x? (a) 17 (b) 9 (c) 33 (d) 3
  8. 8.If 5x + 24 = 84, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  9. 9.If 9x − 29 = 52, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  10. 10.If 3x − 8 = 4, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  11. 11.If 4x − 30 = 10, what is x? (a) 11 (b) 10 (c) 9 (d) 40
  12. 12.If 4x + 2 = 18, what is x? (a) 4 (b) 3 (c) 16 (d) 5
  13. 13.If x/2 + 13 = 24, what is x? (a) 35 (b) 22 (c) 74 (d) 11
  14. 14.If 9x − 27 = 9, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  15. 15.If 9x + 13 = 67, what is x? (a) 6 (b) 5 (c) 54 (d) 7
  16. 16.If x/4 + 5 = 12, what is x? (a) 7 (b) 28 (c) 43 (d) 68
  17. 17.If 2x + 9 = 13, what is x? (a) 3 (b) 2 (c) 4 (d) 11
  18. 18.If x/4 + 15 = 21, what is x? (a) 69 (b) 6 (c) 24 (d) 144
  19. 19.If 6x + 1 = x + 6, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  20. 20.If 2x − 10 = 4, what is x? (a) 8 (b) 6 (c) 7 (d) 14
  21. 21.If 2x − 8 = 14, what is x? (a) 11 (b) 12 (c) 3 (d) 22
  22. 22.If 7x + 30 = 121, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  23. 23.If x/3 + 10 = 13, what is x? (a) 29 (b) 3 (c) 69 (d) 9
  24. 24.If 5x − 13 = 37, what is x? (a) 11 (b) 10 (c) 50 (d) 9
  25. 25.If 7x + 23 = 114, what is x? (a) 14 (b) 91 (c) 13 (d) 12
  26. 26.If 6x + 11 = 2x + 51, what is x? (a) 12 (b) 5 (c) 10 (d) 11
  27. 27.If 7x + 14 = 119, what is x? (a) 105 (b) 19 (c) 16 (d) 15
  28. 28.If 7x + 9 = 6x + 20, what is x? (a) 13 (b) 12 (c) 29 (d) 11
  29. 29.If x/5 + 14 = 26, what is x? (a) 12 (b) 60 (c) 200 (d) 116
  30. 30.If x/5 + 5 = 12, what is x? (a) 7 (b) 35 (c) 55 (d) 85
  31. 31.If 4x − 18 = 42, what is x? (a) 60 (b) 16 (c) 6 (d) 15
  32. 32.If 4x + 6 = x + 36, what is x? (a) 6 (b) 11 (c) 14 (d) 10
  33. 33.If 2x + 15 = 45, what is x? (a) 30 (b) 15 (c) 16 (d) 14
  34. 34.If 9x + 11 = 3x + 17, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  35. 35.If 7x + 9 = 65, what is x? (a) 8 (b) 7 (c) 9 (d) 56
  36. 36.If 8x + 20 = 132, what is x? (a) 112 (b) 19 (c) 15 (d) 14
  37. 37.If 5x − 38 = 2, what is x? (a) 40 (b) 9 (c) 7 (d) 8
  38. 38.If x/2 + 1 = 10, what is x? (a) 18 (b) 9 (c) 22 (d) 19
  39. 39.If x/6 + 8 = 12, what is x? (a) 64 (b) 24 (c) 4 (d) 120
  40. 40.If 8x + 3 = 5x + 27, what is x? (a) 9 (b) 10 (c) 8 (d) 7

Answer key

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

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