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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 866 · 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/6 + 15 = 21, what is x? (a) 6 (b) 111 (c) 36 (d) 216
  2. 2.If 6x − 10 = 8, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  3. 3.If x/4 + 5 = 10, what is x? (a) 20 (b) 60 (c) 5 (d) 35
  4. 4.If x/4 + 15 = 18, what is x? (a) 12 (b) 3 (c) 57 (d) 132
  5. 5.If x/3 + 9 = 15, what is x? (a) 36 (b) 18 (c) 6 (d) 72
  6. 6.If 3x + 28 = 37, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  7. 7.If 5x − 26 = 4, what is x? (a) 7 (b) 30 (c) 6 (d) 5
  8. 8.If x/6 + 1 = 8, what is x? (a) 7 (b) 47 (c) 54 (d) 42
  9. 9.If 4x − 45 = 11, what is x? (a) 13 (b) 56 (c) 14 (d) 15
  10. 10.If x/3 + 2 = 7, what is x? (a) 15 (b) 19 (c) 27 (d) 5
  11. 11.If 2x + 5 = 17, what is x? (a) 11 (b) 6 (c) 7 (d) 12
  12. 12.If 3x + 2 = x + 12, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  13. 13.If 9x − 1 = 89, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  14. 14.If 9x + 27 = 54, what is x? (a) 3 (b) 9 (c) 27 (d) 4
  15. 15.If x/5 + 2 = 10, what is x? (a) 60 (b) 48 (c) 40 (d) 8
  16. 16.If 3x + 3 = x + 13, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  17. 17.If 9x + 5 = 8x + 7, what is x? (a) 2 (b) 4 (c) 3 (d) 12
  18. 18.If 9x + 8 = x + 40, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  19. 19.If 3x + 19 = x + 25, what is x? (a) 22 (b) 4 (c) 5 (d) 3
  20. 20.If x/3 + 2 = 11, what is x? (a) 39 (b) 31 (c) 27 (d) 9
  21. 21.If x/6 + 11 = 23, what is x? (a) 12 (b) 72 (c) 127 (d) 204
  22. 22.If x/2 + 14 = 21, what is x? (a) 14 (b) 70 (c) 7 (d) 28
  23. 23.If 6x − 5 = 7, what is x? (a) 3 (b) 12 (c) 2 (d) 1
  24. 24.If 3x + 5 = 23, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  25. 25.If 8x − 3 = 21, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  26. 26.If 5x + 28 = 53, what is x? (a) 5 (b) 4 (c) 25 (d) 6
  27. 27.If 8x + 19 = 7x + 30, what is x? (a) 13 (b) 49 (c) 11 (d) 12
  28. 28.If 5x + 7 = x + 39, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  29. 29.If x/2 + 3 = 5, what is x? (a) 4 (b) 7 (c) 2 (d) 16
  30. 30.If 5x + 13 = 4x + 15, what is x? (a) 4 (b) 28 (c) 2 (d) 3
  31. 31.If 5x − 31 = 39, what is x? (a) 13 (b) 14 (c) 70 (d) 15
  32. 32.If 5x − 6 = 24, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  33. 33.If x/2 + 5 = 13, what is x? (a) 21 (b) 36 (c) 16 (d) 8
  34. 34.If 7x − 42 = 49, what is x? (a) 91 (b) 1 (c) 14 (d) 13
  35. 35.If x/4 + 11 = 23, what is x? (a) 81 (b) 12 (c) 136 (d) 48
  36. 36.If 9x + 20 = 2x + 34, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  37. 37.If 4x − 13 = 3, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  38. 38.If 3x − 20 = 19, what is x? (a) 39 (b) 13 (c) 14 (d) 12
  39. 39.If 2x − 4 = 16, what is x? (a) 6 (b) 11 (c) 20 (d) 10
  40. 40.If 2x + 8 = 16, what is x? (a) 5 (b) 4 (c) 8 (d) 12

Answer key

  1. 36
  2. 3
  3. 20
  4. 12
  5. 18
  6. 3
  7. 6
  8. 42
  9. 14
  10. 15
  11. 6
  12. 5
  13. 10
  14. 3
  15. 40
  16. 5
  17. 2
  18. 4
  19. 3
  20. 27
  21. 72
  22. 14
  23. 2
  24. 6
  25. 3
  26. 5
  27. 11
  28. 8
  29. 4
  30. 2
  31. 14
  32. 6
  33. 16
  34. 13
  35. 48
  36. 2
  37. 4
  38. 13
  39. 10
  40. 4

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