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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 238 · 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 7x + 24 = 73, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  2. 2.If 3x − 8 = 25, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  3. 3.If 2x − 8 = 4, what is x? (a) 5 (b) 12 (c) 7 (d) 6
  4. 4.If x/2 + 2 = 13, what is x? (a) 30 (b) 24 (c) 11 (d) 22
  5. 5.If 7x + 8 = 4x + 44, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  6. 6.If 4x + 7 = x + 37, what is x? (a) 12 (b) 6 (c) 10 (d) 11
  7. 7.If 8x − 22 = 18, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  8. 8.If 4x + 24 = 32, what is x? (a) 8 (b) 3 (c) 14 (d) 2
  9. 9.If 3x − 13 = 2, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  10. 10.If 5x + 13 = 3x + 31, what is x? (a) 10 (b) 22 (c) 9 (d) 11
  11. 11.If 6x + 3 = 21, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  12. 12.If 8x + 30 = 126, what is x? (a) 12 (b) 11 (c) 13 (d) 96
  13. 13.If 4x + 29 = 89, what is x? (a) 60 (b) 15 (c) 14 (d) 16
  14. 14.If 6x + 16 = 5x + 20, what is x? (a) 36 (b) 5 (c) 4 (d) 6
  15. 15.If 8x − 38 = 18, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  16. 16.If 5x + 20 = 30, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  17. 17.If 8x + 13 = 5x + 31, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  18. 18.If 5x + 17 = 37, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  19. 19.If 5x + 22 = 37, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  20. 20.If 7x − 12 = 51, what is x? (a) 63 (b) 10 (c) 8 (d) 9
  21. 21.If 9x − 2 = 16, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  22. 22.If 4x − 18 = 10, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  23. 23.If 4x − 3 = 53, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  24. 24.If 9x + 12 = 93, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  25. 25.If 3x + 7 = x + 15, what is x? (a) 11 (b) 2 (c) 5 (d) 4
  26. 26.If 3x + 2 = 11, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  27. 27.If 8x − 8 = 56, what is x? (a) 6 (b) 9 (c) 64 (d) 8
  28. 28.If 9x + 1 = 118, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  29. 29.If x/2 + 14 = 17, what is x? (a) 6 (b) 3 (c) 20 (d) 62
  30. 30.If x/6 + 14 = 19, what is x? (a) 198 (b) 100 (c) 5 (d) 30
  31. 31.If 8x + 22 = 102, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  32. 32.If 8x − 13 = 59, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  33. 33.If 7x − 26 = 2, what is x? (a) 4 (b) 5 (c) 28 (d) 3
  34. 34.If 6x + 9 = 3x + 12, what is x? (a) 2 (b) 7 (c) 1 (d) 3
  35. 35.If 8x + 6 = 118, what is x? (a) 14 (b) 15 (c) 13 (d) 112
  36. 36.If 4x + 17 = x + 47, what is x? (a) 12 (b) 6 (c) 11 (d) 10
  37. 37.If 4x + 1 = 61, what is x? (a) 15 (b) 14 (c) 60 (d) 16
  38. 38.If 5x − 38 = 22, what is x? (a) 11 (b) 12 (c) 60 (d) 13
  39. 39.If 5x − 38 = 32, what is x? (a) 13 (b) 15 (c) 70 (d) 14
  40. 40.If x/4 + 5 = 16, what is x? (a) 11 (b) 84 (c) 59 (d) 44

Answer key

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

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