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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 458 · 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 2x − 23 = 1, what is x? (a) 13 (b) 24 (c) 12 (d) 11
  2. 2.If 9x − 20 = 106, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  3. 3.If 8x − 34 = 14, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  4. 4.If 8x + 9 = 57, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  5. 5.If x/2 + 1 = 5, what is x? (a) 12 (b) 4 (c) 8 (d) 9
  6. 6.If 4x − 10 = 30, what is x? (a) 40 (b) 5 (c) 11 (d) 10
  7. 7.If 3x − 3 = 24, what is x? (a) 27 (b) 9 (c) 7 (d) 10
  8. 8.If 3x + 2 = 17, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  9. 9.If x/2 + 11 = 21, what is x? (a) 10 (b) 20 (c) 64 (d) 31
  10. 10.If 2x − 1 = 5, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  11. 11.If x/6 + 5 = 13, what is x? (a) 8 (b) 73 (c) 48 (d) 108
  12. 12.If x/3 + 4 = 14, what is x? (a) 10 (b) 54 (c) 30 (d) 38
  13. 13.If 3x + 17 = 35, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  14. 14.If 3x − 10 = 8, what is x? (a) 7 (b) 6 (c) 5 (d) 18
  15. 15.If x/3 + 1 = 13, what is x? (a) 36 (b) 38 (c) 12 (d) 42
  16. 16.If 5x − 12 = 3, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  17. 17.If 7x + 3 = 5x + 15, what is x? (a) 6 (b) 1 (c) 7 (d) 9
  18. 18.If 4x − 7 = 5, what is x? (a) 2 (b) 3 (c) 12 (d) 4
  19. 19.If 3x + 12 = 2x + 13, what is x? (a) 1 (b) 25 (c) 2 (d) 3
  20. 20.If x/6 + 9 = 14, what is x? (a) 138 (b) 30 (c) 75 (d) 5
  21. 21.If 4x + 2 = 3x + 13, what is x? (a) 12 (b) 15 (c) 13 (d) 11
  22. 22.If 6x + 3 = 4x + 17, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  23. 23.If 5x + 13 = 43, what is x? (a) 6 (b) 7 (c) 30 (d) 5
  24. 24.If 3x + 17 = 47, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  25. 25.If x/2 + 3 = 13, what is x? (a) 23 (b) 32 (c) 20 (d) 10
  26. 26.If x/5 + 1 = 9, what is x? (a) 50 (b) 44 (c) 40 (d) 8
  27. 27.If x/2 + 13 = 17, what is x? (a) 4 (b) 8 (c) 21 (d) 60
  28. 28.If 2x + 30 = 46, what is x? (a) 38 (b) 8 (c) 16 (d) 9
  29. 29.If 6x − 9 = 15, what is x? (a) 24 (b) 4 (c) 1 (d) 5
  30. 30.If x/4 + 10 = 17, what is x? (a) 7 (b) 108 (c) 58 (d) 28
  31. 31.If 9x + 22 = 130, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  32. 32.If 3x − 20 = 25, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  33. 33.If 3x + 13 = 37, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  34. 34.If 8x + 5 = x + 47, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  35. 35.If 2x − 15 = 1, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  36. 36.If 4x + 6 = 22, what is x? (a) 4 (b) 7 (c) 5 (d) 16
  37. 37.If 2x + 13 = 29, what is x? (a) 16 (b) 9 (c) 8 (d) 21
  38. 38.If 5x + 17 = 77, what is x? (a) 12 (b) 11 (c) 13 (d) 60
  39. 39.If x/5 + 10 = 22, what is x? (a) 160 (b) 12 (c) 100 (d) 60
  40. 40.If x/3 + 14 = 16, what is x? (a) 6 (b) 34 (c) 90 (d) 2

Answer key

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

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