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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 595 · 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 + 18 = 2x + 30, what is x? (a) 48 (b) 12 (c) 13 (d) 14
  2. 2.If 9x − 31 = 59, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  3. 3.If 3x + 2 = x + 6, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  4. 4.If x/3 + 8 = 14, what is x? (a) 66 (b) 6 (c) 34 (d) 18
  5. 5.If x/3 + 6 = 10, what is x? (a) 24 (b) 48 (c) 4 (d) 12
  6. 6.If 8x − 11 = 5, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  7. 7.If 9x + 13 = 49, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  8. 8.If x/3 + 14 = 23, what is x? (a) 55 (b) 111 (c) 27 (d) 9
  9. 9.If 5x − 30 = 30, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  10. 10.If 3x + 7 = 43, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  11. 11.If x/5 + 9 = 15, what is x? (a) 120 (b) 30 (c) 6 (d) 66
  12. 12.If 5x + 3 = x + 23, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  13. 13.If 6x + 7 = 2x + 39, what is x? (a) 8 (b) 10 (c) 4 (d) 9
  14. 14.If 4x + 10 = 22, what is x? (a) 12 (b) 4 (c) 8 (d) 3
  15. 15.If 6x − 18 = 6, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  16. 16.If x/6 + 5 = 15, what is x? (a) 85 (b) 120 (c) 10 (d) 60
  17. 17.If 5x − 37 = 23, what is x? (a) 13 (b) 12 (c) 60 (d) 11
  18. 18.If 4x − 13 = 15, what is x? (a) 28 (b) 7 (c) 6 (d) 8
  19. 19.If 3x + 8 = 23, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  20. 20.If 9x + 19 = 145, what is x? (a) 15 (b) 14 (c) 126 (d) 13
  21. 21.If x/2 + 9 = 18, what is x? (a) 9 (b) 54 (c) 27 (d) 18
  22. 22.If x/2 + 2 = 7, what is x? (a) 10 (b) 18 (c) 5 (d) 12
  23. 23.If x/3 + 12 = 16, what is x? (a) 12 (b) 4 (c) 36 (d) 84
  24. 24.If 9x + 1 = 8x + 10, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  25. 25.If 5x + 3 = 2x + 21, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  26. 26.If x/4 + 12 = 23, what is x? (a) 80 (b) 11 (c) 140 (d) 44
  27. 27.If 2x − 12 = 12, what is x? (a) 11 (b) 24 (c) 12 (d) 13
  28. 28.If 5x + 13 = 53, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  29. 29.If x/3 + 1 = 11, what is x? (a) 10 (b) 32 (c) 36 (d) 30
  30. 30.If x/4 + 10 = 16, what is x? (a) 54 (b) 24 (c) 104 (d) 6
  31. 31.If 5x − 9 = 6, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  32. 32.If 3x − 6 = 6, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  33. 33.If 7x + 9 = 58, what is x? (a) 49 (b) 7 (c) 6 (d) 8
  34. 34.If x/2 + 1 = 12, what is x? (a) 26 (b) 23 (c) 22 (d) 11
  35. 35.If 3x + 17 = 2x + 29, what is x? (a) 14 (b) 46 (c) 13 (d) 12
  36. 36.If 4x − 11 = 13, what is x? (a) 6 (b) 5 (c) 24 (d) 7
  37. 37.If 9x + 12 = 39, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  38. 38.If 3x + 14 = x + 38, what is x? (a) 6 (b) 13 (c) 26 (d) 12
  39. 39.If 7x + 11 = 25, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  40. 40.If 9x + 16 = 4x + 41, what is x? (a) 4 (b) 7 (c) 6 (d) 5

Answer key

  1. 12
  2. 10
  3. 2
  4. 18
  5. 12
  6. 2
  7. 4
  8. 27
  9. 12
  10. 12
  11. 30
  12. 5
  13. 8
  14. 3
  15. 4
  16. 60
  17. 12
  18. 7
  19. 5
  20. 14
  21. 18
  22. 10
  23. 12
  24. 9
  25. 6
  26. 44
  27. 12
  28. 8
  29. 30
  30. 24
  31. 3
  32. 4
  33. 7
  34. 22
  35. 12
  36. 6
  37. 3
  38. 12
  39. 2
  40. 5

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