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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 752 · 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 + 4 = 2x + 7, what is x? (a) 5 (b) 11 (c) 4 (d) 3
  2. 2.If x/5 + 3 = 7, what is x? (a) 4 (b) 20 (c) 32 (d) 50
  3. 3.If x/2 + 11 = 19, what is x? (a) 8 (b) 16 (c) 60 (d) 27
  4. 4.If x/4 + 10 = 17, what is x? (a) 108 (b) 7 (c) 28 (d) 58
  5. 5.If 4x − 1 = 11, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  6. 6.If x/4 + 3 = 8, what is x? (a) 44 (b) 29 (c) 5 (d) 20
  7. 7.If 9x − 19 = 80, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  8. 8.If 8x + 2 = 6x + 10, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  9. 9.If 6x + 17 = 2x + 53, what is x? (a) 11 (b) 10 (c) 9 (d) 8
  10. 10.If 4x − 18 = 22, what is x? (a) 10 (b) 1 (c) 40 (d) 11
  11. 11.If 3x − 9 = 33, what is x? (a) 15 (b) 42 (c) 8 (d) 14
  12. 12.If 9x + 14 = 7x + 36, what is x? (a) 13 (b) 11 (c) 12 (d) 25
  13. 13.If 4x + 12 = 2x + 34, what is x? (a) 23 (b) 11 (c) 12 (d) 13
  14. 14.If 8x + 10 = 122, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  15. 15.If 7x − 57 = 34, what is x? (a) 91 (b) 14 (c) 13 (d) 12
  16. 16.If 2x − 5 = 1, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  17. 17.If 4x + 9 = 17, what is x? (a) 1 (b) 3 (c) 2 (d) 8
  18. 18.If 3x + 19 = 28, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  19. 19.If x/4 + 8 = 19, what is x? (a) 108 (b) 11 (c) 44 (d) 68
  20. 20.If 4x + 14 = x + 17, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  21. 21.If 4x + 15 = x + 21, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  22. 22.If x/5 + 4 = 9, what is x? (a) 41 (b) 65 (c) 25 (d) 5
  23. 23.If 6x + 4 = 2x + 48, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  24. 24.If 6x + 15 = x + 75, what is x? (a) 12 (b) 18 (c) 14 (d) 13
  25. 25.If 6x + 19 = 5x + 25, what is x? (a) 8 (b) 44 (c) 7 (d) 6
  26. 26.If 4x + 18 = x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 13
  27. 27.If 4x + 3 = 3x + 15, what is x? (a) 18 (b) 14 (c) 13 (d) 12
  28. 28.If 8x + 7 = 2x + 67, what is x? (a) 11 (b) 10 (c) 12 (d) 6
  29. 29.If x/4 + 8 = 18, what is x? (a) 10 (b) 64 (c) 104 (d) 40
  30. 30.If x/3 + 11 = 20, what is x? (a) 49 (b) 93 (c) 9 (d) 27
  31. 31.If x/4 + 3 = 6, what is x? (a) 21 (b) 36 (c) 12 (d) 3
  32. 32.If 3x + 2 = 11, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  33. 33.If 5x + 19 = 2x + 37, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  34. 34.If 4x + 3 = 35, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  35. 35.If 4x + 2 = 3x + 5, what is x? (a) 7 (b) 4 (c) 5 (d) 3
  36. 36.If 8x − 11 = 29, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  37. 37.If 2x + 3 = 33, what is x? (a) 16 (b) 30 (c) 15 (d) 18
  38. 38.If 7x + 3 = 66, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  39. 39.If x/5 + 5 = 15, what is x? (a) 100 (b) 50 (c) 70 (d) 10
  40. 40.If x/4 + 7 = 12, what is x? (a) 5 (b) 20 (c) 41 (d) 76

Answer key

  1. 3
  2. 20
  3. 16
  4. 28
  5. 3
  6. 20
  7. 11
  8. 4
  9. 9
  10. 10
  11. 14
  12. 11
  13. 11
  14. 14
  15. 13
  16. 3
  17. 2
  18. 3
  19. 44
  20. 1
  21. 2
  22. 25
  23. 11
  24. 12
  25. 6
  26. 1
  27. 12
  28. 10
  29. 40
  30. 27
  31. 12
  32. 3
  33. 6
  34. 8
  35. 3
  36. 5
  37. 15
  38. 9
  39. 50
  40. 20

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