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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 74 · 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 + 1 = 10, what is x? (a) 9 (b) 59 (c) 54 (d) 66
  2. 2.If 3x + 15 = x + 27, what is x? (a) 21 (b) 3 (c) 7 (d) 6
  3. 3.If 5x + 20 = 3x + 22, what is x? (a) 2 (b) 1 (c) 3 (d) 21
  4. 4.If 7x + 10 = 101, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  5. 5.If 2x + 11 = 15, what is x? (a) 3 (b) 4 (c) 2 (d) 13
  6. 6.If 3x + 14 = 41, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  7. 7.If 5x + 8 = x + 20, what is x? (a) 4 (b) 2 (c) 7 (d) 3
  8. 8.If 2x − 13 = 9, what is x? (a) 22 (b) 12 (c) 10 (d) 11
  9. 9.If 8x + 17 = 5x + 23, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  10. 10.If 7x + 19 = 61, what is x? (a) 6 (b) 5 (c) 7 (d) 42
  11. 11.If x/4 + 6 = 9, what is x? (a) 30 (b) 3 (c) 60 (d) 12
  12. 12.If 4x + 28 = 52, what is x? (a) 20 (b) 6 (c) 24 (d) 7
  13. 13.If 7x + 11 = 3x + 39, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  14. 14.If 7x − 60 = 24, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  15. 15.If 2x − 20 = 8, what is x? (a) 28 (b) 13 (c) 15 (d) 14
  16. 16.If 5x − 58 = 7, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  17. 17.If 8x + 19 = 51, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  18. 18.If 5x − 8 = 57, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  19. 19.If 4x + 5 = x + 8, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  20. 20.If 5x − 4 = 66, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  21. 21.If 3x + 19 = 61, what is x? (a) 15 (b) 42 (c) 14 (d) 13
  22. 22.If 6x − 22 = 20, what is x? (a) 8 (b) 7 (c) 42 (d) 6
  23. 23.If 4x − 12 = 4, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  24. 24.If x/4 + 10 = 17, what is x? (a) 58 (b) 108 (c) 7 (d) 28
  25. 25.If 9x + 4 = 5x + 32, what is x? (a) 2 (b) 8 (c) 7 (d) 9
  26. 26.If x/5 + 4 = 15, what is x? (a) 55 (b) 71 (c) 95 (d) 11
  27. 27.If 4x + 10 = 18, what is x? (a) 3 (b) 2 (c) 7 (d) 8
  28. 28.If 6x − 7 = 23, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  29. 29.If 6x + 19 = 31, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  30. 30.If x/5 + 15 = 23, what is x? (a) 190 (b) 100 (c) 8 (d) 40
  31. 31.If 4x + 30 = 86, what is x? (a) 29 (b) 56 (c) 15 (d) 14
  32. 32.If 3x + 18 = 48, what is x? (a) 11 (b) 22 (c) 30 (d) 10
  33. 33.If 7x + 2 = 93, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  34. 34.If 5x + 10 = 4x + 17, what is x? (a) 7 (b) 9 (c) 8 (d) 27
  35. 35.If 3x + 3 = 39, what is x? (a) 12 (b) 36 (c) 13 (d) 14
  36. 36.If 6x − 11 = 31, what is x? (a) 6 (b) 8 (c) 42 (d) 7
  37. 37.If 8x − 11 = 85, what is x? (a) 13 (b) 96 (c) 12 (d) 11
  38. 38.If 8x + 16 = 6x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  39. 39.If 7x + 26 = 40, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  40. 40.If 8x + 15 = 4x + 27, what is x? (a) 3 (b) 4 (c) 5 (d) 1

Answer key

  1. 54
  2. 6
  3. 1
  4. 13
  5. 2
  6. 9
  7. 3
  8. 11
  9. 2
  10. 6
  11. 12
  12. 6
  13. 7
  14. 12
  15. 14
  16. 13
  17. 4
  18. 13
  19. 1
  20. 14
  21. 14
  22. 7
  23. 4
  24. 28
  25. 7
  26. 55
  27. 2
  28. 5
  29. 2
  30. 40
  31. 14
  32. 10
  33. 13
  34. 7
  35. 12
  36. 7
  37. 12
  38. 2
  39. 2
  40. 3

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