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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 92 · 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 + 7 = x + 67, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  2. 2.If x/3 + 1 = 5, what is x? (a) 4 (b) 14 (c) 18 (d) 12
  3. 3.If 3x + 4 = 13, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  4. 4.If 5x + 18 = 78, what is x? (a) 12 (b) 13 (c) 60 (d) 11
  5. 5.If 6x − 47 = 7, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  6. 6.If x/3 + 14 = 19, what is x? (a) 5 (b) 15 (c) 43 (d) 99
  7. 7.If 3x + 14 = x + 20, what is x? (a) 3 (b) 17 (c) 4 (d) 5
  8. 8.If 8x − 8 = 40, what is x? (a) 4 (b) 48 (c) 6 (d) 7
  9. 9.If 3x + 5 = x + 17, what is x? (a) 11 (b) 7 (c) 6 (d) 3
  10. 10.If 8x + 16 = 80, what is x? (a) 9 (b) 64 (c) 12 (d) 8
  11. 11.If 7x + 30 = 51, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  12. 12.If 7x − 10 = 39, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  13. 13.If 3x + 28 = 61, what is x? (a) 12 (b) 11 (c) 10 (d) 33
  14. 14.If 2x + 17 = 43, what is x? (a) 13 (b) 14 (c) 30 (d) 26
  15. 15.If 4x + 20 = 28, what is x? (a) 12 (b) 8 (c) 2 (d) 3
  16. 16.If 8x + 17 = 81, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  17. 17.If 2x − 3 = 5, what is x? (a) 1 (b) 5 (c) 4 (d) 8
  18. 18.If 2x − 14 = 10, what is x? (a) 13 (b) 11 (c) 24 (d) 12
  19. 19.If 3x + 24 = 60, what is x? (a) 13 (b) 28 (c) 36 (d) 12
  20. 20.If 8x + 1 = 6x + 5, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.If 3x + 13 = 52, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  22. 22.If 7x + 14 = x + 62, what is x? (a) 9 (b) 8 (c) 10 (d) 6
  23. 23.If 6x + 14 = x + 69, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  24. 24.If 4x + 20 = 2x + 28, what is x? (a) 4 (b) 5 (c) 24 (d) 6
  25. 25.If 6x + 12 = 4x + 24, what is x? (a) 8 (b) 7 (c) 6 (d) 18
  26. 26.If 4x − 12 = 36, what is x? (a) 12 (b) 6 (c) 13 (d) 48
  27. 27.If 5x + 8 = 4x + 12, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  28. 28.If x/6 + 6 = 10, what is x? (a) 4 (b) 96 (c) 54 (d) 24
  29. 29.If 7x − 5 = 16, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  30. 30.If 3x − 8 = 25, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  31. 31.If 3x + 16 = 49, what is x? (a) 33 (b) 10 (c) 12 (d) 11
  32. 32.If 3x + 2 = x + 18, what is x? (a) 8 (b) 4 (c) 10 (d) 9
  33. 33.If 5x + 7 = 2x + 19, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  34. 34.If 2x − 4 = 14, what is x? (a) 9 (b) 5 (c) 10 (d) 18
  35. 35.If x/4 + 6 = 9, what is x? (a) 30 (b) 12 (c) 3 (d) 60
  36. 36.If 3x + 3 = x + 9, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  37. 37.If x/3 + 13 = 24, what is x? (a) 59 (b) 111 (c) 11 (d) 33
  38. 38.If 4x + 21 = 33, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  39. 39.If 6x + 1 = 5x + 13, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  40. 40.If 7x + 11 = 2x + 31, what is x? (a) 5 (b) 6 (c) 3 (d) 4

Answer key

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

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