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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 810 · 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 5x + 20 = 4x + 29, what is x? (a) 10 (b) 1 (c) 49 (d) 9
  2. 2.If 9x − 6 = 21, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  3. 3.If 3x + 14 = 47, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  4. 4.If 6x + 15 = 27, what is x? (a) 2 (b) 12 (c) 3 (d) 7
  5. 5.If 6x + 6 = 42, what is x? (a) 8 (b) 6 (c) 36 (d) 7
  6. 6.If 8x + 20 = 2x + 44, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  7. 7.If x/4 + 10 = 12, what is x? (a) 38 (b) 8 (c) 2 (d) 88
  8. 8.If x/6 + 1 = 13, what is x? (a) 84 (b) 72 (c) 77 (d) 12
  9. 9.If x/5 + 11 = 19, what is x? (a) 84 (b) 8 (c) 150 (d) 40
  10. 10.If 7x + 11 = 3x + 59, what is x? (a) 11 (b) 14 (c) 13 (d) 12
  11. 11.If 9x + 24 = 96, what is x? (a) 8 (b) 72 (c) 7 (d) 9
  12. 12.If 4x − 19 = 17, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  13. 13.If 9x + 6 = 8x + 17, what is x? (a) 23 (b) 13 (c) 11 (d) 12
  14. 14.If 7x − 8 = 6, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  15. 15.If 2x − 2 = 2, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  16. 16.If 4x − 11 = 17, what is x? (a) 6 (b) 7 (c) 28 (d) 8
  17. 17.If 8x + 7 = 119, what is x? (a) 112 (b) 15 (c) 14 (d) 13
  18. 18.If 5x − 18 = 7, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  19. 19.If 7x + 5 = 54, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  20. 20.If x/5 + 8 = 12, what is x? (a) 100 (b) 52 (c) 20 (d) 4
  21. 21.If x/3 + 10 = 12, what is x? (a) 66 (b) 6 (c) 26 (d) 2
  22. 22.If x/5 + 5 = 12, what is x? (a) 35 (b) 85 (c) 7 (d) 55
  23. 23.If 9x − 58 = 14, what is x? (a) 8 (b) 9 (c) 72 (d) 7
  24. 24.If 6x + 10 = 3x + 19, what is x? (a) 5 (b) 3 (c) 4 (d) 1
  25. 25.If 4x + 3 = x + 36, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  26. 26.If 2x − 25 = 5, what is x? (a) 16 (b) 15 (c) 14 (d) 30
  27. 27.If 3x − 11 = 7, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  28. 28.If 4x + 9 = 45, what is x? (a) 9 (b) 36 (c) 8 (d) 10
  29. 29.If 7x + 19 = x + 91, what is x? (a) 14 (b) 13 (c) 12 (d) 9
  30. 30.If 7x − 10 = 4, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  31. 31.If 4x + 6 = x + 39, what is x? (a) 11 (b) 13 (c) 12 (d) 15
  32. 32.If 4x + 17 = 3x + 25, what is x? (a) 10 (b) 42 (c) 9 (d) 8
  33. 33.If 9x + 10 = 64, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  34. 34.If 7x + 10 = 73, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  35. 35.If 7x + 17 = 122, what is x? (a) 16 (b) 15 (c) 14 (d) 105
  36. 36.If 9x + 4 = 6x + 37, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  37. 37.If 8x − 11 = 93, what is x? (a) 104 (b) 14 (c) 13 (d) 12
  38. 38.If 3x + 29 = 68, what is x? (a) 13 (b) 39 (c) 14 (d) 12
  39. 39.If 7x − 21 = 42, what is x? (a) 9 (b) 10 (c) 63 (d) 3
  40. 40.If 3x − 28 = 11, what is x? (a) 39 (b) 13 (c) 12 (d) 14

Answer key

  1. 9
  2. 3
  3. 11
  4. 2
  5. 6
  6. 4
  7. 8
  8. 72
  9. 40
  10. 12
  11. 8
  12. 9
  13. 11
  14. 2
  15. 2
  16. 7
  17. 14
  18. 5
  19. 7
  20. 20
  21. 6
  22. 35
  23. 8
  24. 3
  25. 11
  26. 15
  27. 6
  28. 9
  29. 12
  30. 2
  31. 11
  32. 8
  33. 6
  34. 9
  35. 15
  36. 11
  37. 13
  38. 13
  39. 9
  40. 13

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