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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 3 · 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 5x − 37 = 23, what is x? (a) 13 (b) 60 (c) 12 (d) 11
  2. 2.If 4x + 1 = 2x + 7, what is x? (a) 5 (b) 4 (c) 3 (d) 1
  3. 3.If 3x − 1 = 38, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  4. 4.If 9x − 61 = 47, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  5. 5.If x/3 + 9 = 17, what is x? (a) 8 (b) 78 (c) 42 (d) 24
  6. 6.If 2x + 16 = 46, what is x? (a) 30 (b) 15 (c) 16 (d) 31
  7. 7.If 5x − 15 = 5, what is x? (a) 20 (b) 4 (c) 5 (d) 3
  8. 8.If 5x + 2 = 2x + 38, what is x? (a) 12 (b) 13 (c) 14 (d) 11
  9. 9.If 4x − 19 = 13, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  10. 10.If x/6 + 4 = 16, what is x? (a) 12 (b) 72 (c) 120 (d) 92
  11. 11.If 7x + 4 = 18, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  12. 12.If 6x + 8 = x + 33, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  13. 13.If 8x − 12 = 4, what is x? (a) 3 (b) 1 (c) 2 (d) 16
  14. 14.If 8x + 1 = 2x + 37, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  15. 15.If 9x + 4 = 139, what is x? (a) 15 (b) 135 (c) 14 (d) 16
  16. 16.If 3x − 3 = 18, what is x? (a) 5 (b) 8 (c) 7 (d) 21
  17. 17.If 3x + 7 = x + 13, what is x? (a) 10 (b) 5 (c) 4 (d) 3
  18. 18.If 6x − 40 = 14, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  19. 19.If 5x + 20 = 3x + 36, what is x? (a) 28 (b) 8 (c) 2 (d) 9
  20. 20.If 3x − 12 = 15, what is x? (a) 9 (b) 1 (c) 10 (d) 27
  21. 21.If x/2 + 10 = 22, what is x? (a) 12 (b) 64 (c) 34 (d) 24
  22. 22.If 4x + 27 = 47, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  23. 23.If 8x + 14 = 5x + 26, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  24. 24.If 2x + 22 = 26, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  25. 25.If 6x − 27 = 57, what is x? (a) 84 (b) 15 (c) 5 (d) 14
  26. 26.If x/4 + 8 = 15, what is x? (a) 28 (b) 52 (c) 7 (d) 92
  27. 27.If 3x + 7 = x + 17, what is x? (a) 5 (b) 7 (c) 6 (d) 12
  28. 28.If 7x + 12 = 5x + 34, what is x? (a) 23 (b) 13 (c) 12 (d) 11
  29. 29.If 4x + 4 = 52, what is x? (a) 14 (b) 48 (c) 13 (d) 12
  30. 30.If 2x + 13 = 29, what is x? (a) 8 (b) 21 (c) 9 (d) 16
  31. 31.If x/4 + 13 = 16, what is x? (a) 116 (b) 51 (c) 3 (d) 12
  32. 32.If x/3 + 1 = 3, what is x? (a) 8 (b) 2 (c) 12 (d) 6
  33. 33.If 3x − 4 = 5, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  34. 34.If 8x + 13 = 2x + 31, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  35. 35.If 6x + 23 = 53, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  36. 36.If 6x + 21 = 75, what is x? (a) 54 (b) 16 (c) 10 (d) 9
  37. 37.If x/3 + 3 = 7, what is x? (a) 12 (b) 18 (c) 30 (d) 4
  38. 38.If 7x − 35 = 35, what is x? (a) 9 (b) 10 (c) 11 (d) 70
  39. 39.If 8x + 19 = 123, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  40. 40.If x/5 + 15 = 27, what is x? (a) 60 (b) 210 (c) 12 (d) 120

Answer key

  1. 12
  2. 3
  3. 13
  4. 12
  5. 24
  6. 15
  7. 4
  8. 12
  9. 8
  10. 72
  11. 2
  12. 5
  13. 2
  14. 6
  15. 15
  16. 7
  17. 3
  18. 9
  19. 8
  20. 9
  21. 24
  22. 5
  23. 4
  24. 2
  25. 14
  26. 28
  27. 5
  28. 11
  29. 12
  30. 8
  31. 12
  32. 6
  33. 3
  34. 3
  35. 5
  36. 9
  37. 12
  38. 10
  39. 13
  40. 60

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