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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 533 · 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/3 + 7 = 13, what is x? (a) 32 (b) 6 (c) 60 (d) 18
  2. 2.If 7x + 17 = 2x + 52, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  3. 3.If 9x + 3 = 138, what is x? (a) 15 (b) 14 (c) 135 (d) 16
  4. 4.If x/4 + 10 = 12, what is x? (a) 2 (b) 8 (c) 38 (d) 88
  5. 5.If x/2 + 5 = 9, what is x? (a) 4 (b) 28 (c) 8 (d) 13
  6. 6.If 3x + 26 = 56, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  7. 7.If 3x − 26 = 16, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  8. 8.If 4x + 7 = 3x + 9, what is x? (a) 3 (b) 2 (c) 4 (d) 16
  9. 9.If 7x + 20 = 6x + 27, what is x? (a) 47 (b) 9 (c) 7 (d) 8
  10. 10.If 2x − 8 = 18, what is x? (a) 5 (b) 13 (c) 26 (d) 14
  11. 11.If 7x − 14 = 77, what is x? (a) 9 (b) 14 (c) 91 (d) 13
  12. 12.If 2x − 3 = 5, what is x? (a) 5 (b) 4 (c) 1 (d) 8
  13. 13.If 7x − 2 = 68, what is x? (a) 11 (b) 10 (c) 9 (d) 70
  14. 14.If 7x − 4 = 17, what is x? (a) 4 (b) 2 (c) 3 (d) 21
  15. 15.If 6x + 6 = 3x + 15, what is x? (a) 4 (b) 1 (c) 3 (d) 7
  16. 16.If 6x + 17 = 53, what is x? (a) 36 (b) 5 (c) 6 (d) 7
  17. 17.If 9x + 2 = 83, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  18. 18.If 6x + 3 = x + 23, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  19. 19.If 6x + 8 = 20, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  20. 20.If 7x + 28 = 98, what is x? (a) 10 (b) 11 (c) 70 (d) 18
  21. 21.If 2x − 14 = 2, what is x? (a) 7 (b) 9 (c) 16 (d) 8
  22. 22.If 5x + 5 = x + 9, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  23. 23.If 8x + 2 = 50, what is x? (a) 7 (b) 6 (c) 48 (d) 5
  24. 24.If 9x + 20 = 5x + 52, what is x? (a) 9 (b) 18 (c) 8 (d) 10
  25. 25.If 8x + 11 = x + 18, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  26. 26.If x/3 + 15 = 24, what is x? (a) 117 (b) 9 (c) 27 (d) 57
  27. 27.If 6x − 10 = 2, what is x? (a) 1 (b) 12 (c) 3 (d) 2
  28. 28.If 9x − 31 = 23, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  29. 29.If 9x − 44 = 55, what is x? (a) 10 (b) 11 (c) 12 (d) 99
  30. 30.If 7x − 26 = 23, what is x? (a) 6 (b) 49 (c) 7 (d) 8
  31. 31.If 8x + 21 = 133, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  32. 32.If 4x − 26 = 14, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  33. 33.If 9x + 9 = 8x + 13, what is x? (a) 22 (b) 5 (c) 6 (d) 4
  34. 34.If 6x + 29 = 59, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  35. 35.If 3x + 9 = 2x + 12, what is x? (a) 3 (b) 4 (c) 21 (d) 5
  36. 36.If 8x + 4 = x + 67, what is x? (a) 7 (b) 9 (c) 10 (d) 11
  37. 37.If 3x + 9 = 33, what is x? (a) 14 (b) 9 (c) 8 (d) 24
  38. 38.If x/4 + 15 = 24, what is x? (a) 9 (b) 36 (c) 81 (d) 156
  39. 39.If 5x + 14 = 29, what is x? (a) 3 (b) 2 (c) 4 (d) 15
  40. 40.If 6x + 16 = 28, what is x? (a) 1 (b) 2 (c) 12 (d) 3

Answer key

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

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