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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 412 · 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 − 7 = 28, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  2. 2.If 6x + 7 = 4x + 21, what is x? (a) 14 (b) 9 (c) 8 (d) 7
  3. 3.If 6x + 17 = 71, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  4. 4.If x/6 + 14 = 26, what is x? (a) 142 (b) 240 (c) 12 (d) 72
  5. 5.If 3x + 16 = 43, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  6. 6.If 6x + 1 = 4x + 15, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  7. 7.If 4x + 17 = x + 20, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  8. 8.If 2x − 1 = 3, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  9. 9.If 2x + 30 = 44, what is x? (a) 7 (b) 8 (c) 37 (d) 14
  10. 10.If 4x + 6 = 2x + 28, what is x? (a) 17 (b) 13 (c) 12 (d) 11
  11. 11.If 3x + 6 = 2x + 16, what is x? (a) 11 (b) 2 (c) 10 (d) 22
  12. 12.If x/3 + 7 = 10, what is x? (a) 3 (b) 23 (c) 9 (d) 51
  13. 13.If 5x + 2 = x + 42, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  14. 14.If 9x − 59 = 49, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  15. 15.If 5x + 5 = 40, what is x? (a) 8 (b) 7 (c) 35 (d) 9
  16. 16.If 3x − 4 = 32, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  17. 17.If 2x − 3 = 13, what is x? (a) 16 (b) 5 (c) 9 (d) 8
  18. 18.If 8x + 4 = 52, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  19. 19.If x/6 + 7 = 11, what is x? (a) 4 (b) 24 (c) 59 (d) 108
  20. 20.If 7x − 42 = 7, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  21. 21.If 9x − 7 = 65, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  22. 22.If 5x + 6 = x + 54, what is x? (a) 12 (b) 13 (c) 8 (d) 15
  23. 23.If x/3 + 7 = 13, what is x? (a) 32 (b) 60 (c) 18 (d) 6
  24. 24.If 9x − 86 = 40, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  25. 25.If 2x + 26 = 48, what is x? (a) 12 (b) 11 (c) 37 (d) 22
  26. 26.If x/6 + 9 = 14, what is x? (a) 75 (b) 5 (c) 30 (d) 138
  27. 27.If 9x + 13 = 85, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  28. 28.If x/6 + 1 = 5, what is x? (a) 4 (b) 29 (c) 36 (d) 24
  29. 29.If x/4 + 10 = 22, what is x? (a) 128 (b) 48 (c) 78 (d) 12
  30. 30.If 8x − 9 = 87, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  31. 31.If x/2 + 3 = 5, what is x? (a) 16 (b) 4 (c) 7 (d) 2
  32. 32.If 9x + 7 = 115, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  33. 33.If 9x − 86 = 31, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  34. 34.If x/4 + 1 = 7, what is x? (a) 24 (b) 32 (c) 27 (d) 6
  35. 35.If 3x − 7 = 2, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  36. 36.If 8x + 11 = 91, what is x? (a) 80 (b) 11 (c) 10 (d) 9
  37. 37.If 7x + 16 = x + 34, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  38. 38.If 9x + 28 = 73, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  39. 39.If x/3 + 11 = 23, what is x? (a) 12 (b) 58 (c) 36 (d) 102
  40. 40.If 4x − 6 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 8

Answer key

  1. 7
  2. 7
  3. 9
  4. 72
  5. 9
  6. 7
  7. 1
  8. 2
  9. 7
  10. 11
  11. 10
  12. 9
  13. 10
  14. 12
  15. 7
  16. 12
  17. 8
  18. 6
  19. 24
  20. 7
  21. 8
  22. 12
  23. 18
  24. 14
  25. 11
  26. 30
  27. 8
  28. 24
  29. 48
  30. 12
  31. 4
  32. 12
  33. 13
  34. 24
  35. 3
  36. 10
  37. 3
  38. 5
  39. 36
  40. 2

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