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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 130 · 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 + 9 = 3x + 13, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  2. 2.If 4x − 30 = 2, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  3. 3.If 2x − 12 = 10, what is x? (a) 22 (b) 11 (c) 12 (d) 10
  4. 4.If 6x + 9 = 87, what is x? (a) 16 (b) 14 (c) 78 (d) 13
  5. 5.If 8x + 3 = 123, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  6. 6.If 9x + 5 = 140, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  7. 7.If x/4 + 2 = 9, what is x? (a) 34 (b) 7 (c) 44 (d) 28
  8. 8.If x/4 + 1 = 13, what is x? (a) 56 (b) 12 (c) 48 (d) 51
  9. 9.If 9x + 3 = 6x + 12, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  10. 10.If 8x + 20 = x + 27, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  11. 11.If 3x + 18 = 27, what is x? (a) 15 (b) 4 (c) 9 (d) 3
  12. 12.If x/3 + 12 = 23, what is x? (a) 33 (b) 105 (c) 11 (d) 57
  13. 13.If 6x + 3 = 81, what is x? (a) 13 (b) 12 (c) 14 (d) 78
  14. 14.If 4x + 18 = 3x + 23, what is x? (a) 41 (b) 6 (c) 7 (d) 5
  15. 15.If 4x − 4 = 4, what is x? (a) 2 (b) 3 (c) 1 (d) 8
  16. 16.If x/3 + 10 = 22, what is x? (a) 56 (b) 12 (c) 36 (d) 96
  17. 17.If 4x + 27 = 39, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  18. 18.If x/2 + 3 = 6, what is x? (a) 18 (b) 3 (c) 9 (d) 6
  19. 19.If x/2 + 13 = 20, what is x? (a) 66 (b) 27 (c) 7 (d) 14
  20. 20.If x/3 + 5 = 8, what is x? (a) 3 (b) 39 (c) 19 (d) 9
  21. 21.If x/5 + 4 = 13, what is x? (a) 9 (b) 45 (c) 85 (d) 61
  22. 22.If 4x + 13 = 73, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  23. 23.If 3x − 1 = 29, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  24. 24.If x/2 + 4 = 9, what is x? (a) 5 (b) 10 (c) 14 (d) 26
  25. 25.If 3x − 4 = 17, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  26. 26.If 5x − 34 = 11, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  27. 27.If x/4 + 4 = 16, what is x? (a) 12 (b) 48 (c) 80 (d) 60
  28. 28.If 2x − 5 = 1, what is x? (a) 2 (b) 3 (c) 6 (d) 4
  29. 29.If x/4 + 1 = 9, what is x? (a) 8 (b) 32 (c) 40 (d) 35
  30. 30.If 8x + 10 = x + 87, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  31. 31.If x/6 + 12 = 21, what is x? (a) 114 (b) 198 (c) 9 (d) 54
  32. 32.If 7x − 46 = 31, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  33. 33.If 8x + 6 = 102, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  34. 34.If 2x + 15 = 41, what is x? (a) 28 (b) 26 (c) 14 (d) 13
  35. 35.If 8x + 15 = 6x + 17, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  36. 36.If x/5 + 14 = 18, what is x? (a) 4 (b) 20 (c) 76 (d) 160
  37. 37.If 3x + 12 = 57, what is x? (a) 23 (b) 45 (c) 15 (d) 16
  38. 38.If 7x − 16 = 33, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  39. 39.If 3x + 13 = 46, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  40. 40.If 6x + 4 = 5x + 13, what is x? (a) 17 (b) 10 (c) 11 (d) 9

Answer key

  1. 1
  2. 8
  3. 11
  4. 13
  5. 15
  6. 15
  7. 28
  8. 48
  9. 3
  10. 1
  11. 3
  12. 33
  13. 13
  14. 5
  15. 2
  16. 36
  17. 3
  18. 6
  19. 14
  20. 9
  21. 45
  22. 15
  23. 10
  24. 10
  25. 7
  26. 9
  27. 48
  28. 3
  29. 32
  30. 11
  31. 54
  32. 11
  33. 12
  34. 13
  35. 1
  36. 20
  37. 15
  38. 7
  39. 11
  40. 9

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