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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 200 · 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/6 + 10 = 21, what is x? (a) 11 (b) 186 (c) 66 (d) 116
  2. 2.If 4x + 8 = 2x + 18, what is x? (a) 13 (b) 5 (c) 6 (d) 7
  3. 3.If 9x + 16 = 97, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  4. 4.If 7x + 6 = 5x + 20, what is x? (a) 8 (b) 13 (c) 9 (d) 7
  5. 5.If 2x − 3 = 25, what is x? (a) 14 (b) 28 (c) 11 (d) 15
  6. 6.If 4x − 37 = 15, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  7. 7.If 6x + 9 = 2x + 37, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  8. 8.If 4x + 1 = x + 22, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  9. 9.If x/6 + 5 = 14, what is x? (a) 79 (b) 114 (c) 54 (d) 9
  10. 10.If 2x + 14 = 24, what is x? (a) 19 (b) 10 (c) 5 (d) 6
  11. 11.If 4x + 20 = x + 38, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  12. 12.If 5x + 5 = 45, what is x? (a) 9 (b) 10 (c) 40 (d) 8
  13. 13.If x/4 + 2 = 9, what is x? (a) 34 (b) 7 (c) 28 (d) 44
  14. 14.If 3x + 11 = x + 25, what is x? (a) 18 (b) 9 (c) 7 (d) 8
  15. 15.If 8x + 15 = 95, what is x? (a) 10 (b) 9 (c) 80 (d) 11
  16. 16.If x/4 + 8 = 17, what is x? (a) 60 (b) 100 (c) 36 (d) 9
  17. 17.If 3x + 19 = 34, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  18. 18.If 3x + 12 = x + 24, what is x? (a) 18 (b) 7 (c) 3 (d) 6
  19. 19.If 6x + 17 = 5x + 28, what is x? (a) 12 (b) 11 (c) 45 (d) 1
  20. 20.If 7x + 16 = 107, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  21. 21.If x/2 + 11 = 13, what is x? (a) 2 (b) 48 (c) 15 (d) 4
  22. 22.If 6x + 12 = 42, what is x? (a) 5 (b) 9 (c) 30 (d) 6
  23. 23.If 5x + 10 = 2x + 37, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  24. 24.If 9x + 11 = 2x + 39, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  25. 25.If x/6 + 3 = 13, what is x? (a) 60 (b) 10 (c) 96 (d) 75
  26. 26.If 4x + 19 = x + 49, what is x? (a) 12 (b) 10 (c) 6 (d) 11
  27. 27.If 4x − 6 = 14, what is x? (a) 5 (b) 6 (c) 2 (d) 20
  28. 28.If 2x − 3 = 15, what is x? (a) 18 (b) 6 (c) 9 (d) 10
  29. 29.If 5x − 17 = 3, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  30. 30.If 7x + 6 = 97, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  31. 31.If x/5 + 13 = 21, what is x? (a) 92 (b) 170 (c) 8 (d) 40
  32. 32.If 4x + 6 = 14, what is x? (a) 3 (b) 8 (c) 5 (d) 2
  33. 33.If x/5 + 15 = 26, what is x? (a) 11 (b) 115 (c) 205 (d) 55
  34. 34.If 5x + 9 = 54, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  35. 35.If 5x + 1 = 4x + 7, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  36. 36.If 5x − 12 = 13, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  37. 37.If 8x − 59 = 37, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  38. 38.If x/2 + 7 = 19, what is x? (a) 52 (b) 31 (c) 12 (d) 24
  39. 39.If 4x + 9 = 2x + 33, what is x? (a) 21 (b) 13 (c) 4 (d) 12
  40. 40.If x/3 + 10 = 18, what is x? (a) 8 (b) 84 (c) 44 (d) 24

Answer key

  1. 66
  2. 5
  3. 9
  4. 7
  5. 14
  6. 13
  7. 7
  8. 7
  9. 54
  10. 5
  11. 6
  12. 8
  13. 28
  14. 7
  15. 10
  16. 36
  17. 5
  18. 6
  19. 11
  20. 13
  21. 4
  22. 5
  23. 9
  24. 4
  25. 60
  26. 10
  27. 5
  28. 9
  29. 4
  30. 13
  31. 40
  32. 2
  33. 55
  34. 9
  35. 6
  36. 5
  37. 12
  38. 24
  39. 12
  40. 24

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