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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 508 · 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/6 + 15 = 22, what is x? (a) 7 (b) 42 (c) 222 (d) 117
  2. 2.If 3x − 7 = 14, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  3. 3.If 3x − 3 = 33, what is x? (a) 13 (b) 12 (c) 10 (d) 36
  4. 4.If 4x + 10 = 62, what is x? (a) 52 (b) 13 (c) 18 (d) 14
  5. 5.If x/4 + 12 = 24, what is x? (a) 84 (b) 48 (c) 12 (d) 144
  6. 6.If 4x − 1 = 27, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  7. 7.If x/2 + 15 = 18, what is x? (a) 21 (b) 66 (c) 3 (d) 6
  8. 8.If 2x − 2 = 2, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.If 5x + 6 = 36, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  10. 10.If 5x − 39 = 21, what is x? (a) 11 (b) 12 (c) 60 (d) 13
  11. 11.If 6x + 17 = 35, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  12. 12.If 6x − 7 = 5, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  13. 13.If 9x + 18 = 7x + 42, what is x? (a) 30 (b) 12 (c) 14 (d) 13
  14. 14.If 8x + 3 = 2x + 9, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  15. 15.If x/2 + 12 = 18, what is x? (a) 12 (b) 24 (c) 6 (d) 60
  16. 16.If 6x + 7 = 67, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  17. 17.If 4x − 29 = 11, what is x? (a) 10 (b) 40 (c) 11 (d) 9
  18. 18.If 4x + 5 = x + 41, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  19. 19.If 9x − 3 = 24, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  20. 20.If 8x − 48 = 40, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  21. 21.If 4x + 8 = x + 17, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  22. 22.If 8x + 20 = 3x + 65, what is x? (a) 10 (b) 17 (c) 11 (d) 9
  23. 23.If 9x + 8 = 8x + 19, what is x? (a) 27 (b) 12 (c) 13 (d) 11
  24. 24.If 2x − 5 = 19, what is x? (a) 12 (b) 7 (c) 24 (d) 13
  25. 25.If x/4 + 6 = 10, what is x? (a) 34 (b) 64 (c) 16 (d) 4
  26. 26.If 3x + 20 = 26, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  27. 27.If 6x + 14 = 2x + 38, what is x? (a) 13 (b) 6 (c) 3 (d) 7
  28. 28.If 5x + 24 = 44, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  29. 29.If x/2 + 1 = 7, what is x? (a) 6 (b) 12 (c) 13 (d) 16
  30. 30.If x/3 + 6 = 14, what is x? (a) 60 (b) 8 (c) 24 (d) 36
  31. 31.If 4x − 8 = 8, what is x? (a) 4 (b) 16 (c) 5 (d) 3
  32. 32.If x/2 + 8 = 16, what is x? (a) 48 (b) 24 (c) 8 (d) 16
  33. 33.If 8x − 7 = 9, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  34. 34.If 4x + 5 = 25, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  35. 35.If 5x + 10 = 2x + 25, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  36. 36.If 9x + 9 = 5x + 53, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  37. 37.If 5x + 12 = 3x + 14, what is x? (a) 1 (b) 3 (c) 13 (d) 2
  38. 38.If x/5 + 15 = 24, what is x? (a) 195 (b) 9 (c) 45 (d) 105
  39. 39.If 6x + 23 = 83, what is x? (a) 11 (b) 9 (c) 10 (d) 60
  40. 40.If 9x + 9 = 5x + 17, what is x? (a) 3 (b) 2 (c) 4 (d) 1

Answer key

  1. 42
  2. 7
  3. 12
  4. 13
  5. 48
  6. 7
  7. 6
  8. 2
  9. 6
  10. 12
  11. 3
  12. 2
  13. 12
  14. 1
  15. 12
  16. 10
  17. 10
  18. 12
  19. 3
  20. 11
  21. 3
  22. 9
  23. 11
  24. 12
  25. 16
  26. 2
  27. 6
  28. 4
  29. 12
  30. 24
  31. 4
  32. 16
  33. 2
  34. 5
  35. 5
  36. 11
  37. 1
  38. 45
  39. 10
  40. 2

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