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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 46 · 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 8x + 18 = 130, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  2. 2.If x/3 + 10 = 12, what is x? (a) 2 (b) 26 (c) 6 (d) 66
  3. 3.If 9x + 19 = 2x + 40, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  4. 4.If 5x + 14 = 54, what is x? (a) 7 (b) 8 (c) 40 (d) 9
  5. 5.If 8x + 18 = 5x + 30, what is x? (a) 4 (b) 16 (c) 5 (d) 6
  6. 6.If 9x + 12 = 93, what is x? (a) 10 (b) 8 (c) 9 (d) 81
  7. 7.If 7x − 38 = 4, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  8. 8.If 6x + 9 = 4x + 17, what is x? (a) 6 (b) 13 (c) 5 (d) 4
  9. 9.If 3x + 27 = 66, what is x? (a) 39 (b) 13 (c) 31 (d) 14
  10. 10.If x/6 + 6 = 10, what is x? (a) 24 (b) 96 (c) 54 (d) 4
  11. 11.If 3x + 6 = 2x + 10, what is x? (a) 4 (b) 6 (c) 16 (d) 5
  12. 12.If 4x + 5 = x + 23, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  13. 13.If 6x − 6 = 6, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  14. 14.If 5x + 4 = x + 24, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  15. 15.If 6x + 15 = 2x + 59, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  16. 16.If 5x − 64 = 1, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  17. 17.If 6x − 28 = 44, what is x? (a) 11 (b) 72 (c) 13 (d) 12
  18. 18.If x/3 + 6 = 13, what is x? (a) 33 (b) 57 (c) 7 (d) 21
  19. 19.If 9x − 51 = 3, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  20. 20.If 9x + 5 = 5x + 45, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  21. 21.If 3x + 19 = 43, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  22. 22.If x/6 + 8 = 15, what is x? (a) 138 (b) 42 (c) 7 (d) 82
  23. 23.If 9x + 5 = x + 77, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  24. 24.If x/4 + 4 = 7, what is x? (a) 44 (b) 24 (c) 12 (d) 3
  25. 25.If 7x − 14 = 7, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  26. 26.If 4x + 23 = 43, what is x? (a) 20 (b) 5 (c) 4 (d) 6
  27. 27.If 4x + 19 = x + 25, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  28. 28.If 8x + 12 = 4x + 56, what is x? (a) 17 (b) 11 (c) 12 (d) 13
  29. 29.If 7x − 23 = 5, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  30. 30.If 9x − 35 = 82, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  31. 31.If 2x − 13 = 9, what is x? (a) 12 (b) 10 (c) 22 (d) 11
  32. 32.If x/4 + 12 = 23, what is x? (a) 44 (b) 11 (c) 80 (d) 140
  33. 33.If x/5 + 6 = 18, what is x? (a) 84 (b) 12 (c) 60 (d) 120
  34. 34.If 5x + 26 = 56, what is x? (a) 30 (b) 7 (c) 6 (d) 5
  35. 35.If 7x + 2 = x + 68, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.If 8x − 31 = 41, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  37. 37.If 3x + 4 = x + 26, what is x? (a) 12 (b) 11 (c) 15 (d) 13
  38. 38.If 5x − 13 = 12, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  39. 39.If 4x − 39 = 5, what is x? (a) 11 (b) 12 (c) 10 (d) 44
  40. 40.If 5x − 9 = 16, what is x? (a) 6 (b) 25 (c) 4 (d) 5

Answer key

  1. 14
  2. 6
  3. 3
  4. 8
  5. 4
  6. 9
  7. 6
  8. 4
  9. 13
  10. 24
  11. 4
  12. 6
  13. 2
  14. 5
  15. 11
  16. 13
  17. 12
  18. 21
  19. 6
  20. 10
  21. 8
  22. 42
  23. 9
  24. 12
  25. 3
  26. 5
  27. 2
  28. 11
  29. 4
  30. 13
  31. 11
  32. 44
  33. 60
  34. 6
  35. 11
  36. 9
  37. 11
  38. 5
  39. 11
  40. 5

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