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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 82 · 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/4 + 1 = 5, what is x? (a) 24 (b) 19 (c) 16 (d) 4
  2. 2.If x/4 + 7 = 11, what is x? (a) 37 (b) 16 (c) 4 (d) 72
  3. 3.If 9x − 56 = 25, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  4. 4.If 8x − 94 = 26, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  5. 5.If 5x − 10 = 40, what is x? (a) 11 (b) 6 (c) 10 (d) 50
  6. 6.If x/4 + 14 = 21, what is x? (a) 140 (b) 28 (c) 70 (d) 7
  7. 7.If 7x + 13 = 55, what is x? (a) 5 (b) 7 (c) 6 (d) 42
  8. 8.If 3x − 19 = 2, what is x? (a) 6 (b) 7 (c) 21 (d) 8
  9. 9.If 8x + 14 = 94, what is x? (a) 9 (b) 10 (c) 11 (d) 80
  10. 10.If 5x − 29 = 16, what is x? (a) 8 (b) 45 (c) 10 (d) 9
  11. 11.If 3x − 10 = 35, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  12. 12.If 5x − 21 = 19, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  13. 13.If 3x + 4 = x + 6, what is x? (a) 1 (b) 2 (c) 5 (d) 3
  14. 14.If 9x + 13 = 6x + 46, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  15. 15.If 2x − 1 = 9, what is x? (a) 5 (b) 4 (c) 6 (d) 10
  16. 16.If 7x + 26 = 54, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  17. 17.If 3x + 14 = x + 38, what is x? (a) 6 (b) 12 (c) 26 (d) 13
  18. 18.If 5x + 7 = 67, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  19. 19.If x/6 + 14 = 19, what is x? (a) 5 (b) 30 (c) 100 (d) 198
  20. 20.If 9x + 29 = 83, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  21. 21.If 6x + 12 = 36, what is x? (a) 8 (b) 4 (c) 24 (d) 5
  22. 22.If 3x + 24 = 63, what is x? (a) 29 (b) 39 (c) 14 (d) 13
  23. 23.If x/6 + 8 = 20, what is x? (a) 72 (b) 168 (c) 112 (d) 12
  24. 24.If 3x + 6 = x + 26, what is x? (a) 5 (b) 11 (c) 16 (d) 10
  25. 25.If 5x + 10 = 85, what is x? (a) 19 (b) 75 (c) 15 (d) 16
  26. 26.If x/2 + 1 = 4, what is x? (a) 10 (b) 6 (c) 7 (d) 3
  27. 27.If 4x + 9 = 3x + 15, what is x? (a) 8 (b) 6 (c) 7 (d) 24
  28. 28.If 5x − 29 = 11, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  29. 29.If 2x + 5 = 33, what is x? (a) 15 (b) 28 (c) 14 (d) 19
  30. 30.If 8x + 7 = 31, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  31. 31.If 9x − 7 = 56, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  32. 32.If 2x + 25 = 37, what is x? (a) 31 (b) 12 (c) 6 (d) 7
  33. 33.If 9x + 5 = 7x + 13, what is x? (a) 9 (b) 6 (c) 4 (d) 5
  34. 34.If 9x − 2 = 16, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  35. 35.If 6x + 12 = 5x + 15, what is x? (a) 27 (b) 5 (c) 3 (d) 4
  36. 36.If 6x + 8 = 86, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  37. 37.If 5x + 5 = 2x + 23, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  38. 38.If 4x + 9 = x + 36, what is x? (a) 9 (b) 10 (c) 15 (d) 11
  39. 39.If 6x + 25 = 67, what is x? (a) 42 (b) 8 (c) 6 (d) 7
  40. 40.If 4x − 30 = 6, what is x? (a) 10 (b) 9 (c) 36 (d) 8

Answer key

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

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