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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 428 · 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 7x + 4 = 5x + 6, what is x? (a) 3 (b) 2 (c) 5 (d) 1
  2. 2.If x/5 + 9 = 11, what is x? (a) 100 (b) 2 (c) 46 (d) 10
  3. 3.If x/3 + 3 = 15, what is x? (a) 36 (b) 12 (c) 54 (d) 42
  4. 4.If 3x + 1 = 19, what is x? (a) 18 (b) 6 (c) 5 (d) 7
  5. 5.If 6x + 3 = 2x + 27, what is x? (a) 8 (b) 7 (c) 6 (d) 3
  6. 6.If 6x − 11 = 67, what is x? (a) 78 (b) 13 (c) 14 (d) 12
  7. 7.If 4x − 2 = 22, what is x? (a) 5 (b) 6 (c) 7 (d) 24
  8. 8.If x/2 + 5 = 17, what is x? (a) 24 (b) 44 (c) 29 (d) 12
  9. 9.If 9x + 11 = 38, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  10. 10.If 9x − 41 = 76, what is x? (a) 12 (b) 117 (c) 13 (d) 14
  11. 11.If 3x + 1 = 2x + 7, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  12. 12.If x/2 + 6 = 9, what is x? (a) 12 (b) 3 (c) 6 (d) 30
  13. 13.If 8x + 30 = 118, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  14. 14.If 4x − 12 = 4, what is x? (a) 3 (b) 16 (c) 4 (d) 5
  15. 15.If x/4 + 4 = 11, what is x? (a) 40 (b) 7 (c) 60 (d) 28
  16. 16.If 8x + 20 = 3x + 70, what is x? (a) 10 (b) 18 (c) 12 (d) 11
  17. 17.If x/2 + 10 = 22, what is x? (a) 12 (b) 24 (c) 34 (d) 64
  18. 18.If 6x + 15 = x + 20, what is x? (a) 2 (b) 7 (c) 3 (d) 1
  19. 19.If 8x + 18 = 98, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  20. 20.If x/4 + 5 = 11, what is x? (a) 24 (b) 64 (c) 6 (d) 39
  21. 21.If 6x + 12 = x + 22, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  22. 22.If 5x + 25 = 75, what is x? (a) 50 (b) 20 (c) 11 (d) 10
  23. 23.If 5x − 41 = 4, what is x? (a) 45 (b) 9 (c) 8 (d) 10
  24. 24.If 9x − 8 = 64, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  25. 25.If 6x + 12 = x + 27, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  26. 26.If x/5 + 5 = 17, what is x? (a) 110 (b) 60 (c) 12 (d) 80
  27. 27.If 4x + 11 = 3x + 14, what is x? (a) 25 (b) 5 (c) 4 (d) 3
  28. 28.If 3x + 3 = x + 9, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  29. 29.If 9x + 6 = 87, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  30. 30.If x/5 + 1 = 5, what is x? (a) 4 (b) 20 (c) 30 (d) 24
  31. 31.If 3x + 7 = 46, what is x? (a) 14 (b) 12 (c) 39 (d) 13
  32. 32.If 9x + 12 = 57, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  33. 33.If 6x − 5 = 43, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  34. 34.If 7x + 7 = x + 73, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  35. 35.If 9x + 4 = 94, what is x? (a) 9 (b) 90 (c) 10 (d) 11
  36. 36.If 9x + 15 = 4x + 20, what is x? (a) 2 (b) 7 (c) 3 (d) 1
  37. 37.If 2x − 16 = 4, what is x? (a) 10 (b) 9 (c) 11 (d) 20
  38. 38.If 8x + 2 = 5x + 32, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  39. 39.If x/4 + 1 = 11, what is x? (a) 10 (b) 48 (c) 40 (d) 43
  40. 40.If 4x + 9 = x + 21, what is x? (a) 5 (b) 4 (c) 6 (d) 10

Answer key

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

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