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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 834 · 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 + 13 = 19, what is x? (a) 44 (b) 96 (c) 18 (d) 6
  2. 2.If 2x − 7 = 15, what is x? (a) 11 (b) 22 (c) 4 (d) 12
  3. 3.If 2x + 13 = 17, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  4. 4.If 4x + 17 = x + 44, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  5. 5.If 2x + 24 = 28, what is x? (a) 2 (b) 3 (c) 4 (d) 26
  6. 6.If 2x + 7 = 33, what is x? (a) 20 (b) 26 (c) 14 (d) 13
  7. 7.If 7x − 22 = 76, what is x? (a) 15 (b) 13 (c) 14 (d) 98
  8. 8.If 6x + 20 = 5x + 25, what is x? (a) 7 (b) 6 (c) 45 (d) 5
  9. 9.If x/6 + 8 = 18, what is x? (a) 100 (b) 156 (c) 60 (d) 10
  10. 10.If 8x + 18 = 3x + 63, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  11. 11.If 6x − 26 = 28, what is x? (a) 10 (b) 9 (c) 8 (d) 54
  12. 12.If 5x + 3 = 23, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  13. 13.If x/4 + 3 = 8, what is x? (a) 5 (b) 44 (c) 20 (d) 29
  14. 14.If 4x − 29 = 11, what is x? (a) 9 (b) 11 (c) 10 (d) 40
  15. 15.If 3x − 19 = 17, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  16. 16.If x/3 + 1 = 11, what is x? (a) 10 (b) 30 (c) 32 (d) 36
  17. 17.If 7x + 17 = 66, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  18. 18.If 9x − 76 = 50, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  19. 19.If x/5 + 6 = 8, what is x? (a) 2 (b) 70 (c) 10 (d) 34
  20. 20.If 9x − 69 = 30, what is x? (a) 10 (b) 12 (c) 11 (d) 99
  21. 21.If 9x − 5 = 40, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  22. 22.If 6x − 28 = 32, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  23. 23.If x/5 + 14 = 26, what is x? (a) 200 (b) 60 (c) 116 (d) 12
  24. 24.If 6x + 12 = x + 32, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  25. 25.If 8x + 19 = 83, what is x? (a) 9 (b) 7 (c) 64 (d) 8
  26. 26.If 9x − 29 = 25, what is x? (a) 6 (b) 5 (c) 54 (d) 7
  27. 27.If 3x + 10 = 16, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  28. 28.If x/3 + 5 = 12, what is x? (a) 21 (b) 51 (c) 31 (d) 7
  29. 29.If 9x + 11 = 6x + 47, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  30. 30.If 5x + 9 = 3x + 15, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  31. 31.If 7x − 16 = 26, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  32. 32.If 9x + 13 = 5x + 29, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  33. 33.If 3x + 3 = 9, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  34. 34.If 8x + 14 = 5x + 23, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  35. 35.If x/6 + 3 = 15, what is x? (a) 12 (b) 72 (c) 87 (d) 108
  36. 36.If 8x − 3 = 29, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  37. 37.If 5x − 42 = 13, what is x? (a) 11 (b) 55 (c) 12 (d) 10
  38. 38.If x/3 + 12 = 22, what is x? (a) 10 (b) 54 (c) 102 (d) 30
  39. 39.If x/4 + 13 = 17, what is x? (a) 55 (b) 4 (c) 16 (d) 120
  40. 40.If 8x + 27 = 67, what is x? (a) 6 (b) 40 (c) 4 (d) 5

Answer key

  1. 18
  2. 11
  3. 2
  4. 9
  5. 2
  6. 13
  7. 14
  8. 5
  9. 60
  10. 9
  11. 9
  12. 4
  13. 20
  14. 10
  15. 12
  16. 30
  17. 7
  18. 14
  19. 10
  20. 11
  21. 5
  22. 10
  23. 60
  24. 4
  25. 8
  26. 6
  27. 2
  28. 21
  29. 12
  30. 3
  31. 6
  32. 4
  33. 2
  34. 3
  35. 72
  36. 4
  37. 11
  38. 30
  39. 16
  40. 5

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