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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 387 · 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 4x + 27 = 43, what is x? (a) 5 (b) 3 (c) 4 (d) 16
  2. 2.If 4x − 2 = 22, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  3. 3.If 6x + 7 = 97, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  4. 4.If 7x + 26 = 124, what is x? (a) 98 (b) 14 (c) 15 (d) 13
  5. 5.If 2x + 30 = 56, what is x? (a) 14 (b) 43 (c) 26 (d) 13
  6. 6.If 5x + 5 = x + 9, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  7. 7.If 7x − 7 = 49, what is x? (a) 6 (b) 8 (c) 9 (d) 56
  8. 8.If 7x + 7 = 105, what is x? (a) 15 (b) 16 (c) 98 (d) 14
  9. 9.If 9x − 1 = 134, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  10. 10.If 7x + 20 = 2x + 65, what is x? (a) 10 (b) 9 (c) 5 (d) 17
  11. 11.If 4x + 14 = x + 35, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  12. 12.If 7x + 17 = 94, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  13. 13.If 4x + 16 = x + 31, what is x? (a) 6 (b) 7 (c) 5 (d) 3
  14. 14.If 5x + 7 = 32, what is x? (a) 4 (b) 5 (c) 6 (d) 25
  15. 15.If 7x − 55 = 22, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  16. 16.If 2x + 24 = 28, what is x? (a) 4 (b) 26 (c) 2 (d) 3
  17. 17.If x/6 + 11 = 22, what is x? (a) 66 (b) 121 (c) 198 (d) 11
  18. 18.If x/5 + 6 = 8, what is x? (a) 70 (b) 10 (c) 2 (d) 34
  19. 19.If 3x − 14 = 13, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  20. 20.If 7x + 11 = 5x + 17, what is x? (a) 14 (b) 5 (c) 3 (d) 4
  21. 21.If 3x + 3 = 2x + 9, what is x? (a) 6 (b) 8 (c) 12 (d) 7
  22. 22.If 5x − 29 = 11, what is x? (a) 9 (b) 8 (c) 40 (d) 7
  23. 23.If x/5 + 4 = 9, what is x? (a) 41 (b) 5 (c) 25 (d) 65
  24. 24.If 3x + 10 = 52, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  25. 25.If 8x − 58 = 54, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  26. 26.If 5x + 4 = 59, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  27. 27.If x/5 + 1 = 12, what is x? (a) 11 (b) 59 (c) 55 (d) 65
  28. 28.If x/3 + 10 = 17, what is x? (a) 21 (b) 81 (c) 7 (d) 41
  29. 29.If 7x + 19 = 96, what is x? (a) 10 (b) 11 (c) 77 (d) 12
  30. 30.If 3x − 3 = 24, what is x? (a) 27 (b) 7 (c) 9 (d) 10
  31. 31.If 9x − 59 = 22, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  32. 32.If 6x − 37 = 41, what is x? (a) 14 (b) 13 (c) 12 (d) 78
  33. 33.If 6x + 19 = 73, what is x? (a) 54 (b) 9 (c) 10 (d) 8
  34. 34.If 8x − 9 = 39, what is x? (a) 7 (b) 5 (c) 48 (d) 6
  35. 35.If 9x + 1 = 100, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  36. 36.If 2x − 12 = 18, what is x? (a) 30 (b) 3 (c) 16 (d) 15
  37. 37.If 7x + 4 = 109, what is x? (a) 15 (b) 14 (c) 16 (d) 105
  38. 38.If 7x + 20 = x + 80, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  39. 39.If 6x + 20 = 62, what is x? (a) 8 (b) 6 (c) 42 (d) 7
  40. 40.If 7x + 12 = 82, what is x? (a) 70 (b) 9 (c) 11 (d) 10

Answer key

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

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