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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 535 · 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/5 + 3 = 15, what is x? (a) 12 (b) 60 (c) 90 (d) 72
  2. 2.If x/3 + 12 = 17, what is x? (a) 39 (b) 15 (c) 5 (d) 87
  3. 3.If 2x + 18 = 26, what is x? (a) 4 (b) 8 (c) 5 (d) 22
  4. 4.If 5x + 4 = 64, what is x? (a) 12 (b) 13 (c) 60 (d) 11
  5. 5.If x/4 + 4 = 15, what is x? (a) 76 (b) 11 (c) 44 (d) 56
  6. 6.If x/4 + 9 = 19, what is x? (a) 67 (b) 10 (c) 40 (d) 112
  7. 7.If 8x + 4 = 2x + 22, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  8. 8.If 8x − 36 = 76, what is x? (a) 14 (b) 5 (c) 112 (d) 15
  9. 9.If 6x − 42 = 12, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  10. 10.If 8x − 51 = 37, what is x? (a) 88 (b) 11 (c) 12 (d) 10
  11. 11.If 7x + 17 = 6x + 18, what is x? (a) 35 (b) 2 (c) 3 (d) 1
  12. 12.If 4x + 21 = 37, what is x? (a) 4 (b) 16 (c) 3 (d) 5
  13. 13.If 8x + 13 = 4x + 17, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  14. 14.If 9x + 2 = 6x + 26, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  15. 15.If 7x + 4 = 4x + 34, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  16. 16.If 7x − 13 = 15, what is x? (a) 5 (b) 3 (c) 4 (d) 28
  17. 17.If 9x + 12 = 8x + 16, what is x? (a) 5 (b) 6 (c) 28 (d) 4
  18. 18.If 4x + 11 = x + 29, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  19. 19.If 3x − 5 = 1, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  20. 20.If 8x + 16 = x + 23, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  21. 21.If 3x + 19 = x + 35, what is x? (a) 8 (b) 4 (c) 9 (d) 27
  22. 22.If 7x + 23 = 100, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  23. 23.If 6x + 12 = 90, what is x? (a) 13 (b) 78 (c) 14 (d) 17
  24. 24.If x/3 + 9 = 15, what is x? (a) 6 (b) 72 (c) 36 (d) 18
  25. 25.If 2x + 11 = 21, what is x? (a) 16 (b) 6 (c) 10 (d) 5
  26. 26.If 4x − 14 = 2, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  27. 27.If x/2 + 14 = 25, what is x? (a) 11 (b) 36 (c) 22 (d) 78
  28. 28.If 3x − 29 = 1, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  29. 29.If 9x + 21 = 84, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  30. 30.If 5x + 9 = 3x + 25, what is x? (a) 9 (b) 8 (c) 17 (d) 2
  31. 31.If 3x + 17 = 2x + 29, what is x? (a) 14 (b) 13 (c) 46 (d) 12
  32. 32.If 6x + 1 = 3x + 31, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  33. 33.If 5x + 24 = 59, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  34. 34.If 2x + 3 = 31, what is x? (a) 15 (b) 14 (c) 17 (d) 28
  35. 35.If 3x + 30 = 60, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  36. 36.If 7x + 16 = 4x + 31, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  37. 37.If 5x − 7 = 38, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  38. 38.If 5x + 4 = 74, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  39. 39.If 5x + 12 = 37, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  40. 40.If 6x + 12 = 84, what is x? (a) 72 (b) 13 (c) 16 (d) 12

Answer key

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

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