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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 520 · 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 5x + 6 = 31, what is x? (a) 5 (b) 25 (c) 4 (d) 6
  2. 2.If 5x − 29 = 11, what is x? (a) 40 (b) 9 (c) 7 (d) 8
  3. 3.If 8x + 16 = 6x + 40, what is x? (a) 14 (b) 13 (c) 12 (d) 28
  4. 4.If 9x + 18 = 81, what is x? (a) 63 (b) 11 (c) 7 (d) 8
  5. 5.If x/2 + 8 = 19, what is x? (a) 30 (b) 22 (c) 11 (d) 54
  6. 6.If x/4 + 7 = 9, what is x? (a) 29 (b) 64 (c) 8 (d) 2
  7. 7.If 9x − 8 = 64, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  8. 8.If 4x − 11 = 13, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  9. 9.If 8x + 1 = 7x + 9, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  10. 10.If x/5 + 11 = 18, what is x? (a) 79 (b) 35 (c) 145 (d) 7
  11. 11.If 5x + 14 = 39, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  12. 12.If 4x + 3 = 2x + 5, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  13. 13.If 4x − 19 = 17, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  14. 14.If 7x + 9 = 4x + 39, what is x? (a) 12 (b) 16 (c) 11 (d) 10
  15. 15.If x/3 + 3 = 14, what is x? (a) 51 (b) 11 (c) 39 (d) 33
  16. 16.If x/3 + 6 = 8, what is x? (a) 2 (b) 18 (c) 42 (d) 6
  17. 17.If 4x + 5 = x + 29, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  18. 18.If 3x + 24 = 42, what is x? (a) 7 (b) 22 (c) 18 (d) 6
  19. 19.If 8x − 3 = 37, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  20. 20.If 2x − 18 = 4, what is x? (a) 12 (b) 22 (c) 11 (d) 10
  21. 21.If 9x + 4 = 8x + 13, what is x? (a) 10 (b) 9 (c) 11 (d) 17
  22. 22.If 4x − 18 = 34, what is x? (a) 52 (b) 14 (c) 13 (d) 4
  23. 23.If 2x − 5 = 13, what is x? (a) 4 (b) 9 (c) 18 (d) 10
  24. 24.If 2x + 25 = 55, what is x? (a) 16 (b) 30 (c) 40 (d) 15
  25. 25.If 8x + 12 = 4x + 60, what is x? (a) 13 (b) 4 (c) 12 (d) 18
  26. 26.If 7x + 19 = 6x + 20, what is x? (a) 2 (b) 3 (c) 39 (d) 1
  27. 27.If 3x + 6 = x + 26, what is x? (a) 10 (b) 11 (c) 16 (d) 5
  28. 28.If x/5 + 7 = 19, what is x? (a) 130 (b) 88 (c) 60 (d) 12
  29. 29.If 7x − 43 = 62, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  30. 30.If 9x − 31 = 86, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  31. 31.If 3x + 24 = 69, what is x? (a) 45 (b) 16 (c) 15 (d) 31
  32. 32.If 9x − 12 = 96, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  33. 33.If 8x + 21 = 117, what is x? (a) 96 (b) 11 (c) 12 (d) 13
  34. 34.If 7x + 30 = 128, what is x? (a) 13 (b) 98 (c) 15 (d) 14
  35. 35.If 6x − 46 = 8, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  36. 36.If x/2 + 1 = 3, what is x? (a) 4 (b) 2 (c) 5 (d) 8
  37. 37.If 5x + 4 = 2x + 28, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  38. 38.If 4x + 3 = 3x + 5, what is x? (a) 8 (b) 3 (c) 4 (d) 2
  39. 39.If 3x − 32 = 4, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  40. 40.If 3x + 10 = 49, what is x? (a) 12 (b) 13 (c) 14 (d) 39

Answer key

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

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