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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 89 · 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 3x + 7 = 22, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  2. 2.If 5x + 9 = 2x + 15, what is x? (a) 4 (b) 2 (c) 3 (d) 8
  3. 3.If 4x + 3 = 2x + 17, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  4. 4.If 4x + 12 = 24, what is x? (a) 4 (b) 9 (c) 3 (d) 12
  5. 5.If 5x + 14 = 24, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  6. 6.If 4x + 30 = 50, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  7. 7.If x/2 + 14 = 18, what is x? (a) 22 (b) 4 (c) 8 (d) 64
  8. 8.If 3x − 12 = 27, what is x? (a) 39 (b) 14 (c) 5 (d) 13
  9. 9.If 3x + 4 = 40, what is x? (a) 36 (b) 12 (c) 11 (d) 13
  10. 10.If 2x − 8 = 8, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  11. 11.If 7x + 1 = 4x + 13, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  12. 12.If 9x + 2 = 83, what is x? (a) 10 (b) 8 (c) 81 (d) 9
  13. 13.If 3x + 19 = x + 31, what is x? (a) 25 (b) 7 (c) 3 (d) 6
  14. 14.If 7x − 28 = 14, what is x? (a) 6 (b) 7 (c) 5 (d) 42
  15. 15.If 8x + 19 = 107, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  16. 16.If 2x − 13 = 7, what is x? (a) 11 (b) 20 (c) 9 (d) 10
  17. 17.If 2x − 6 = 2, what is x? (a) 4 (b) 5 (c) 3 (d) 8
  18. 18.If 4x + 2 = x + 8, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  19. 19.If 5x − 10 = 30, what is x? (a) 40 (b) 9 (c) 4 (d) 8
  20. 20.If x/5 + 1 = 3, what is x? (a) 20 (b) 10 (c) 2 (d) 14
  21. 21.If 2x + 20 = 40, what is x? (a) 20 (b) 30 (c) 10 (d) 11
  22. 22.If 6x − 47 = 7, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  23. 23.If 2x − 2 = 18, what is x? (a) 11 (b) 8 (c) 10 (d) 20
  24. 24.If 6x + 15 = x + 70, what is x? (a) 11 (b) 13 (c) 17 (d) 12
  25. 25.If x/3 + 14 = 20, what is x? (a) 6 (b) 46 (c) 18 (d) 102
  26. 26.If 5x + 13 = 4x + 22, what is x? (a) 1 (b) 10 (c) 9 (d) 35
  27. 27.If 3x − 8 = 31, what is x? (a) 14 (b) 12 (c) 13 (d) 39
  28. 28.If 5x − 2 = 18, what is x? (a) 20 (b) 4 (c) 5 (d) 3
  29. 29.If 8x + 15 = 7x + 23, what is x? (a) 10 (b) 38 (c) 8 (d) 9
  30. 30.If 6x + 1 = 85, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  31. 31.If x/5 + 10 = 15, what is x? (a) 5 (b) 125 (c) 25 (d) 65
  32. 32.If 5x + 10 = 30, what is x? (a) 20 (b) 8 (c) 5 (d) 4
  33. 33.If 7x − 30 = 5, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  34. 34.If 8x − 47 = 33, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  35. 35.If 8x + 30 = 54, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  36. 36.If x/4 + 6 = 9, what is x? (a) 30 (b) 60 (c) 12 (d) 3
  37. 37.If 9x + 1 = 37, what is x? (a) 3 (b) 36 (c) 4 (d) 5
  38. 38.If x/2 + 8 = 15, what is x? (a) 7 (b) 22 (c) 46 (d) 14
  39. 39.If 3x − 8 = 1, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  40. 40.If 3x + 19 = 2x + 22, what is x? (a) 4 (b) 41 (c) 5 (d) 3

Answer key

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

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