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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 581 · 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 3x + 19 = x + 37, what is x? (a) 9 (b) 28 (c) 10 (d) 11
  2. 2.If x/3 + 14 = 24, what is x? (a) 30 (b) 58 (c) 114 (d) 10
  3. 3.If 8x + 14 = 2x + 26, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  4. 4.If 9x − 31 = 95, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  5. 5.If 2x + 29 = 39, what is x? (a) 10 (b) 34 (c) 6 (d) 5
  6. 6.If x/4 + 14 = 23, what is x? (a) 9 (b) 36 (c) 78 (d) 148
  7. 7.If 5x + 15 = 60, what is x? (a) 9 (b) 10 (c) 15 (d) 45
  8. 8.If 3x + 3 = 2x + 14, what is x? (a) 12 (b) 13 (c) 17 (d) 11
  9. 9.If 6x − 54 = 6, what is x? (a) 60 (b) 10 (c) 9 (d) 11
  10. 10.If x/4 + 3 = 5, what is x? (a) 32 (b) 17 (c) 2 (d) 8
  11. 11.If 4x + 2 = 10, what is x? (a) 2 (b) 3 (c) 1 (d) 8
  12. 12.If 6x + 9 = 69, what is x? (a) 60 (b) 11 (c) 10 (d) 13
  13. 13.If 5x + 28 = 38, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  14. 14.If 7x + 29 = 78, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  15. 15.If 7x − 37 = 40, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  16. 16.If 7x − 9 = 61, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  17. 17.If 7x − 7 = 7, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  18. 18.If x/3 + 4 = 15, what is x? (a) 33 (b) 41 (c) 11 (d) 57
  19. 19.If x/2 + 7 = 13, what is x? (a) 6 (b) 19 (c) 12 (d) 40
  20. 20.If 8x + 18 = 34, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  21. 21.If 4x + 17 = 2x + 39, what is x? (a) 12 (b) 28 (c) 13 (d) 11
  22. 22.If 6x + 5 = 2x + 49, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  23. 23.If 2x + 28 = 48, what is x? (a) 38 (b) 11 (c) 10 (d) 20
  24. 24.If x/3 + 4 = 8, what is x? (a) 36 (b) 4 (c) 12 (d) 20
  25. 25.If 3x + 5 = 32, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  26. 26.If 5x + 2 = 42, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  27. 27.If 2x + 16 = 46, what is x? (a) 30 (b) 15 (c) 16 (d) 31
  28. 28.If x/6 + 15 = 20, what is x? (a) 5 (b) 210 (c) 105 (d) 30
  29. 29.If x/3 + 6 = 12, what is x? (a) 54 (b) 6 (c) 30 (d) 18
  30. 30.If 4x + 7 = x + 19, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  31. 31.If 9x + 14 = 50, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  32. 32.If 4x + 3 = 19, what is x? (a) 5 (b) 4 (c) 16 (d) 3
  33. 33.If 8x + 10 = 5x + 40, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  34. 34.If 6x + 13 = 2x + 29, what is x? (a) 6 (b) 4 (c) 2 (d) 5
  35. 35.If 3x + 17 = 2x + 25, what is x? (a) 10 (b) 8 (c) 42 (d) 9
  36. 36.If 5x + 24 = 49, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  37. 37.If 3x + 12 = x + 26, what is x? (a) 8 (b) 19 (c) 9 (d) 7
  38. 38.If 8x + 3 = 3x + 63, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  39. 39.If x/3 + 11 = 13, what is x? (a) 28 (b) 6 (c) 72 (d) 2
  40. 40.If 9x + 14 = 6x + 20, what is x? (a) 3 (b) 1 (c) 4 (d) 2

Answer key

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

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