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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 713 · 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/5 + 10 = 17, what is x? (a) 7 (b) 75 (c) 135 (d) 35
  2. 2.If 7x − 17 = 11, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  3. 3.If 6x + 14 = 104, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  4. 4.If 9x − 3 = 15, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  5. 5.If 5x − 9 = 11, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  6. 6.If 4x + 8 = 3x + 10, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  7. 7.If 7x + 4 = 3x + 8, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.If 3x + 14 = x + 34, what is x? (a) 10 (b) 11 (c) 24 (d) 5
  9. 9.If 9x + 1 = 8x + 10, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  10. 10.If 3x + 3 = 2x + 15, what is x? (a) 12 (b) 13 (c) 18 (d) 14
  11. 11.If 8x + 15 = 3x + 25, what is x? (a) 2 (b) 4 (c) 8 (d) 3
  12. 12.If 6x + 17 = 5x + 21, what is x? (a) 38 (b) 5 (c) 4 (d) 6
  13. 13.If 9x + 1 = 2x + 36, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  14. 14.If x/3 + 5 = 9, what is x? (a) 4 (b) 22 (c) 42 (d) 12
  15. 15.If x/5 + 7 = 18, what is x? (a) 83 (b) 55 (c) 125 (d) 11
  16. 16.If 6x + 19 = 4x + 37, what is x? (a) 28 (b) 11 (c) 10 (d) 9
  17. 17.If 6x + 2 = 4x + 8, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  18. 18.If 5x + 3 = 4x + 11, what is x? (a) 14 (b) 8 (c) 10 (d) 9
  19. 19.If x/2 + 15 = 27, what is x? (a) 84 (b) 12 (c) 39 (d) 24
  20. 20.If x/5 + 5 = 11, what is x? (a) 50 (b) 30 (c) 80 (d) 6
  21. 21.If 5x + 4 = x + 12, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  22. 22.If 3x − 15 = 6, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  23. 23.If x/5 + 11 = 13, what is x? (a) 10 (b) 2 (c) 120 (d) 54
  24. 24.If 5x + 25 = 50, what is x? (a) 25 (b) 5 (c) 6 (d) 15
  25. 25.If 4x + 6 = x + 9, what is x? (a) 3 (b) 2 (c) 1 (d) 5
  26. 26.If 3x + 15 = 27, what is x? (a) 5 (b) 12 (c) 4 (d) 14
  27. 27.If 7x + 10 = 5x + 18, what is x? (a) 4 (b) 6 (c) 14 (d) 5
  28. 28.If 6x + 7 = 2x + 39, what is x? (a) 8 (b) 10 (c) 4 (d) 9
  29. 29.If x/2 + 4 = 15, what is x? (a) 22 (b) 11 (c) 26 (d) 38
  30. 30.If 3x + 23 = 38, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  31. 31.If x/6 + 4 = 10, what is x? (a) 36 (b) 6 (c) 84 (d) 56
  32. 32.If x/5 + 3 = 9, what is x? (a) 30 (b) 42 (c) 60 (d) 6
  33. 33.If 9x + 15 = 123, what is x? (a) 108 (b) 13 (c) 12 (d) 11
  34. 34.If x/4 + 4 = 8, what is x? (a) 28 (b) 48 (c) 4 (d) 16
  35. 35.If 5x + 27 = 52, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  36. 36.If 8x + 5 = 7x + 16, what is x? (a) 13 (b) 12 (c) 21 (d) 11
  37. 37.If 5x − 1 = 9, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  38. 38.If 9x + 11 = 7x + 19, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  39. 39.If 7x − 16 = 33, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  40. 40.If 2x − 3 = 5, what is x? (a) 8 (b) 1 (c) 5 (d) 4

Answer key

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

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