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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 503 · 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 + 8 = 20, what is x? (a) 72 (b) 12 (c) 48 (d) 112
  2. 2.If 7x − 68 = 23, what is x? (a) 13 (b) 91 (c) 12 (d) 14
  3. 3.If x/3 + 7 = 14, what is x? (a) 35 (b) 63 (c) 7 (d) 21
  4. 4.If 4x + 17 = 3x + 26, what is x? (a) 43 (b) 9 (c) 11 (d) 10
  5. 5.If 4x + 1 = 61, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  6. 6.If 8x − 12 = 12, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  7. 7.If 8x + 6 = 70, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  8. 8.If 3x + 25 = 55, what is x? (a) 10 (b) 30 (c) 11 (d) 9
  9. 9.If 9x + 12 = 3x + 78, what is x? (a) 15 (b) 12 (c) 11 (d) 13
  10. 10.If 6x + 3 = x + 58, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  11. 11.If 8x + 5 = 3x + 50, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  12. 12.If 7x + 29 = 113, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  13. 13.If 8x + 20 = 116, what is x? (a) 13 (b) 96 (c) 17 (d) 12
  14. 14.If 8x + 9 = 113, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  15. 15.If 8x − 83 = 29, what is x? (a) 112 (b) 14 (c) 13 (d) 15
  16. 16.If x/3 + 9 = 15, what is x? (a) 36 (b) 6 (c) 72 (d) 18
  17. 17.If x/5 + 12 = 19, what is x? (a) 7 (b) 155 (c) 83 (d) 35
  18. 18.If x/4 + 15 = 27, what is x? (a) 48 (b) 12 (c) 168 (d) 93
  19. 19.If 4x + 20 = 52, what is x? (a) 8 (b) 18 (c) 9 (d) 32
  20. 20.If x/3 + 15 = 17, what is x? (a) 36 (b) 96 (c) 2 (d) 6
  21. 21.If 3x + 9 = 48, what is x? (a) 13 (b) 14 (c) 19 (d) 39
  22. 22.If 6x + 26 = 80, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  23. 23.If 7x + 5 = 19, what is x? (a) 14 (b) 3 (c) 2 (d) 1
  24. 24.If 3x + 10 = 25, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  25. 25.If 2x − 13 = 11, what is x? (a) 13 (b) 11 (c) 12 (d) 24
  26. 26.If 5x + 20 = 35, what is x? (a) 3 (b) 11 (c) 15 (d) 4
  27. 27.If 6x + 9 = x + 59, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  28. 28.If 9x + 6 = 7x + 8, what is x? (a) 3 (b) 7 (c) 1 (d) 2
  29. 29.If x/2 + 14 = 25, what is x? (a) 11 (b) 36 (c) 22 (d) 78
  30. 30.If 5x + 17 = 47, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  31. 31.If 9x + 6 = 8x + 13, what is x? (a) 8 (b) 7 (c) 9 (d) 19
  32. 32.If 8x + 22 = 126, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  33. 33.If 4x + 18 = x + 33, what is x? (a) 17 (b) 6 (c) 5 (d) 3
  34. 34.If 6x + 28 = 100, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  35. 35.If x/6 + 10 = 14, what is x? (a) 74 (b) 24 (c) 4 (d) 144
  36. 36.If 4x + 11 = 19, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  37. 37.If 6x + 9 = 5x + 21, what is x? (a) 13 (b) 14 (c) 12 (d) 30
  38. 38.If 4x + 14 = 2x + 34, what is x? (a) 10 (b) 12 (c) 11 (d) 24
  39. 39.If 5x − 4 = 56, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  40. 40.If x/2 + 3 = 10, what is x? (a) 7 (b) 26 (c) 17 (d) 14

Answer key

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

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