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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 564 · 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/3 + 8 = 18, what is x? (a) 46 (b) 78 (c) 30 (d) 10
  2. 2.If x/4 + 12 = 14, what is x? (a) 8 (b) 104 (c) 2 (d) 44
  3. 3.If 4x + 2 = 3x + 10, what is x? (a) 9 (b) 10 (c) 8 (d) 12
  4. 4.If 6x − 34 = 2, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  5. 5.If 7x − 31 = 18, what is x? (a) 8 (b) 6 (c) 49 (d) 7
  6. 6.If x/3 + 10 = 20, what is x? (a) 30 (b) 90 (c) 50 (d) 10
  7. 7.If 8x − 2 = 30, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  8. 8.If x/6 + 9 = 17, what is x? (a) 156 (b) 93 (c) 8 (d) 48
  9. 9.If 3x + 23 = 38, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  10. 10.If 7x − 15 = 90, what is x? (a) 14 (b) 16 (c) 15 (d) 105
  11. 11.If 7x + 13 = 2x + 48, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  12. 12.If 9x + 16 = 8x + 28, what is x? (a) 14 (b) 12 (c) 13 (d) 44
  13. 13.If 4x + 14 = x + 23, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  14. 14.If 3x + 28 = 61, what is x? (a) 11 (b) 10 (c) 33 (d) 12
  15. 15.If 4x + 29 = 41, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  16. 16.If 4x − 15 = 17, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  17. 17.If x/2 + 3 = 15, what is x? (a) 36 (b) 27 (c) 12 (d) 24
  18. 18.If 6x + 10 = x + 30, what is x? (a) 6 (b) 4 (c) 5 (d) 8
  19. 19.If 9x + 21 = 39, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  20. 20.If x/2 + 2 = 10, what is x? (a) 8 (b) 18 (c) 16 (d) 24
  21. 21.If 7x + 1 = 43, what is x? (a) 5 (b) 42 (c) 7 (d) 6
  22. 22.If x/3 + 1 = 3, what is x? (a) 12 (b) 8 (c) 6 (d) 2
  23. 23.If 6x + 21 = 87, what is x? (a) 11 (b) 66 (c) 12 (d) 18
  24. 24.If x/2 + 12 = 18, what is x? (a) 6 (b) 24 (c) 12 (d) 60
  25. 25.If x/6 + 1 = 10, what is x? (a) 59 (b) 9 (c) 54 (d) 66
  26. 26.If 2x − 6 = 20, what is x? (a) 26 (b) 14 (c) 7 (d) 13
  27. 27.If 7x + 7 = 2x + 52, what is x? (a) 5 (b) 11 (c) 9 (d) 10
  28. 28.If 9x + 12 = 7x + 34, what is x? (a) 13 (b) 12 (c) 23 (d) 11
  29. 29.If 9x + 16 = x + 104, what is x? (a) 13 (b) 15 (c) 11 (d) 12
  30. 30.If 4x + 4 = 12, what is x? (a) 2 (b) 3 (c) 4 (d) 8
  31. 31.If 3x + 8 = x + 12, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  32. 32.If 2x − 3 = 1, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  33. 33.If 3x + 28 = 55, what is x? (a) 8 (b) 10 (c) 27 (d) 9
  34. 34.If x/6 + 11 = 13, what is x? (a) 144 (b) 12 (c) 67 (d) 2
  35. 35.If 2x − 1 = 5, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  36. 36.If 6x − 5 = 25, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  37. 37.If x/5 + 10 = 22, what is x? (a) 12 (b) 100 (c) 160 (d) 60
  38. 38.If x/2 + 4 = 13, what is x? (a) 18 (b) 9 (c) 34 (d) 22
  39. 39.If x/5 + 6 = 12, what is x? (a) 90 (b) 6 (c) 30 (d) 54
  40. 40.If 4x − 5 = 11, what is x? (a) 5 (b) 3 (c) 16 (d) 4

Answer key

  1. 30
  2. 8
  3. 8
  4. 6
  5. 7
  6. 30
  7. 4
  8. 48
  9. 5
  10. 15
  11. 7
  12. 12
  13. 3
  14. 11
  15. 3
  16. 8
  17. 24
  18. 4
  19. 2
  20. 16
  21. 6
  22. 6
  23. 11
  24. 12
  25. 54
  26. 13
  27. 9
  28. 11
  29. 11
  30. 2
  31. 2
  32. 2
  33. 9
  34. 12
  35. 3
  36. 5
  37. 60
  38. 18
  39. 30
  40. 4

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