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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 839 · 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 + 5 = 11, what is x? (a) 64 (b) 24 (c) 6 (d) 39
  2. 2.If 6x + 16 = 28, what is x? (a) 1 (b) 3 (c) 12 (d) 2
  3. 3.If 7x + 26 = 82, what is x? (a) 7 (b) 9 (c) 8 (d) 56
  4. 4.If x/5 + 3 = 9, what is x? (a) 6 (b) 60 (c) 30 (d) 42
  5. 5.If x/2 + 11 = 23, what is x? (a) 12 (b) 35 (c) 68 (d) 24
  6. 6.If 8x − 9 = 31, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  7. 7.If 3x − 7 = 29, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  8. 8.If 6x + 25 = 97, what is x? (a) 11 (b) 13 (c) 12 (d) 72
  9. 9.If x/3 + 8 = 16, what is x? (a) 40 (b) 8 (c) 24 (d) 72
  10. 10.If x/3 + 3 = 7, what is x? (a) 18 (b) 4 (c) 30 (d) 12
  11. 11.If x/6 + 15 = 19, what is x? (a) 204 (b) 24 (c) 4 (d) 99
  12. 12.If 3x + 8 = 2x + 15, what is x? (a) 9 (b) 23 (c) 8 (d) 7
  13. 13.If 4x + 18 = 2x + 30, what is x? (a) 7 (b) 24 (c) 2 (d) 6
  14. 14.If 8x + 15 = 5x + 39, what is x? (a) 8 (b) 10 (c) 18 (d) 9
  15. 15.If 7x + 6 = 2x + 41, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  16. 16.If 5x − 32 = 13, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  17. 17.If 4x − 14 = 10, what is x? (a) 5 (b) 6 (c) 7 (d) 24
  18. 18.If 7x + 5 = 4x + 17, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  19. 19.If 4x + 4 = 32, what is x? (a) 8 (b) 7 (c) 28 (d) 9
  20. 20.If 4x + 19 = 47, what is x? (a) 8 (b) 28 (c) 7 (d) 6
  21. 21.If 6x + 13 = x + 33, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  22. 22.If 3x − 30 = 3, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  23. 23.If 7x + 7 = 2x + 52, what is x? (a) 9 (b) 10 (c) 5 (d) 11
  24. 24.If 9x − 57 = 33, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  25. 25.If 7x + 11 = 4x + 47, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  26. 26.If x/4 + 6 = 16, what is x? (a) 88 (b) 40 (c) 10 (d) 58
  27. 27.If x/5 + 4 = 6, what is x? (a) 10 (b) 26 (c) 2 (d) 50
  28. 28.If 3x + 4 = 10, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  29. 29.If 5x + 5 = x + 41, what is x? (a) 11 (b) 10 (c) 6 (d) 9
  30. 30.If 9x + 26 = 62, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  31. 31.If x/5 + 8 = 14, what is x? (a) 30 (b) 110 (c) 62 (d) 6
  32. 32.If 8x − 9 = 39, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  33. 33.If x/5 + 8 = 10, what is x? (a) 42 (b) 10 (c) 90 (d) 2
  34. 34.If x/2 + 13 = 17, what is x? (a) 8 (b) 4 (c) 60 (d) 21
  35. 35.If x/5 + 3 = 13, what is x? (a) 50 (b) 80 (c) 10 (d) 62
  36. 36.If 5x + 11 = 41, what is x? (a) 6 (b) 7 (c) 5 (d) 30
  37. 37.If 5x + 25 = 90, what is x? (a) 23 (b) 65 (c) 14 (d) 13
  38. 38.If 8x + 22 = 134, what is x? (a) 14 (b) 15 (c) 13 (d) 112
  39. 39.If 3x + 22 = 52, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  40. 40.If 6x − 23 = 25, what is x? (a) 48 (b) 8 (c) 9 (d) 7

Answer key

  1. 24
  2. 2
  3. 8
  4. 30
  5. 24
  6. 5
  7. 12
  8. 12
  9. 24
  10. 12
  11. 24
  12. 7
  13. 6
  14. 8
  15. 7
  16. 9
  17. 6
  18. 4
  19. 7
  20. 7
  21. 4
  22. 11
  23. 9
  24. 10
  25. 12
  26. 40
  27. 10
  28. 2
  29. 9
  30. 4
  31. 30
  32. 6
  33. 10
  34. 8
  35. 50
  36. 6
  37. 13
  38. 14
  39. 10
  40. 8

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